# Publications

**List of Recent Publications:**

*Riahi, D. N., “Flow and stability of three-dimensional rotating viscoelastic jet”, *Journal of Theoretical and Applied Mechanics*, in press (2023)

*Riahi, D. N. & Orizaga, S., “Modeling and computation of blood flow and salute concentration in constricted porous artery”, *AIMS Journal of Bioengineering*, **10**(1), 67-88 (2023)

*Riahi, D. N. & Orizaga, S., “On viscoelastic fiber jet formation for forcespinning at high rotation rate”,* Journal of Theoretical and Applied Mechanics,* **61**(2), 275-287 (2023)

*Riahi, D. N. & Orizaga, S., “On three-dimensional rotating viscoelastic jets in the Giesekus model”, *Partial Differential Equations in Applied Mathematics (Elsevier**)*, **5**, 100364 (2022)

*Riahi, D. N. & Orizaga, S., “On rotationally driven nonlinear inclined polymeric jet with gravity effect”, *AIMS Mathematics in Engineering Journal*, 4(2), 1-18 (2022)

*Riahi, D. N., “On forcespinning of nonlinear rotating jets of viscoelastic Boger fluids”, *Journal of Non-Newtonian Fluid Mechanics (Elsevier)*, **287**, 104442 (2021)

*Riahi, D. N., “On three-dimensional rotating polymeric fiber jets with gravity effect”, *Fluid Dynamics Research (IOP, On Behalf of the Japan Society of Fluid Mechanics)*, **52**, 1-18 (2020)

*Riahi, D. N., “On stability of steady nonlinear rotating viscoelastic jets”, *Applications in Engineering Science (Elsevier)*, **2**, 100010 (2020)

*Bhatta, D. & Riahi, D. N., “On time dependent hydrothermal convective flow in an aquifer layer with variable hydraulic resistivity”, *Special Topics and Reviews in Porous Media-An International Journal*, **12**(3), 31-48 (2021)

*Urbina, G., Riahi, D. N. & Bhatta, D., “Mathematical modeling of nonlinear glucose-insulin dynamics with beta cells effect”, *Application and Applied Mathematics: An Int. Journal*, **15**(1), 149-170 (2020)

*Riahi, D. N., “On nonlinear rotating non-Newtonian jets with ambient flow”, *ASME Journal of Fluids Engineering*, **142**(6), 081206-1 (2020)

*Orizaga, S., Riahi, D. N. & Soto, J. R., “Drug delivery in catheterized arterial blood flow with atherosclerosis”, *Results in Applied Mathematics (Elsevier)*, **7**, 100117 (2020)

*Urbina, G. & Riahi, D. N., “Mathematical modeling of nonlinear dynamics of blood hormones”, *Journal of Applied Math and Bioinformatics*, **10**(2), 1-24 (2020)

*Bhatta, D. & Riahi, D. N., “Effect of hydraulic resistivity on weakly nonlinear thermal flow in a porous layer”, *Journal of Applied Fluid Mechanics*, **13**, 945-955 (2020)

*Bhatta, D. & Riahi, D. N., “Thermal diffusivity variation effect on hydro-thermal convective flow in a porous layer”, *Journal of Porous Media*, **23**(5), 497-515 (2020)

*Bhatta, D. & Riahi, D. N., “Marginal stability analysis for a convective flow in a porous medium with vertically varying resistivity”, *Journal of Porous Media, ***23**(1), 69-79 (2020)

*Riahi, D. N., “On nonlinear rotating electrified non-Newtonian jets”, *International Journal of Non-Linear Mechanics (Elsevier)*, **109**, 166-171 (2019)

*:Riahi, D. N., “Nonlinear rotating viscoelastic jets during forcespinning”, *Proceedings of The Royal Society of London, Series A (Royal Society, London, UK)*, **474**: 20180346 (16 pages) (2018)

*:Riahi, D. N., “Modeling rotating fiber jets and application in forcespinning”, *Journal of Aeronaut and Aerospace Engineering*, **7** (2018)

*:Riahi, D. N., Lozano, K., Cremar, L. & Fuentes, A., “On nonlinear rotating polymeric jets during forcespinning process”, *Fluid Dynamics Research (On Behalf of the Japan Society of Fluid Mechanics)*, **50**, 065507 (16 pages) (2018)

*:Cisneros, J. & Riahi, D. N., “Two-phase blood flow and thermal effects in elastic stenosed arteries”, *Advanced Science, Engineering and Medicine*, **10**, 1-13 (2018)

*:Riahi, D. N., “Rotating fiber jets during forcespinning with aerodynamic effect”, *American Society of Civil Engineers’ s Journal of Engineering Mechanics*, **144**(8), 1943-78890001473 (2018)

*:Riahi, D. N., “On strain hardening of nonlinear polymeric jets during forcespinning”, *Int. J. Applied and Computational Math (Springer)*, **4**(26) (2018)

*:Bhatta, D. & Riahi, D. N., “Convevtive flow in an aquifer layer (invited article)”, *Fluids*, **5****2**, 2, 9-29 (2017)

*:Orizaga, S. & Riahi, D. N., “Triad resonant wave interactions in electrically charged jets”, *Applied Mathematics and Mechanics (Springer)*, **38**(8), 1127-1148 (2017)

*:Riahi, D. N.., “On low frequency oscillatory elastic arterial blood flow with stenosis”, *International Journal of Applied and Computational Mathematics (Springer)*, **3**(1), 55-70 (2017)

*:Riahi, D. N., “Modeling and computation of nonlinear rotating polymeric jets during forcespinning process”, *International Journal of Non-Linear Mechanics (Elsevier)*, **92**, 1-7 (2017)

*:Roy, R., Riahi, D. N. & Cisneros, J., “Effect of combined anticancer drugs treatment on heterogeneous brain tumors”, *International Journal of Applied and Computational Mathematics (Springer)*, **3**(4), 3877-3896 (2017)

*:Bhatta, D. & Riahi, D. N., “Weakly nonlinear three-dimensional convective flow during solidification of binary alloys”, *Grystal Growth, Concepts, Mechanisms and Applications*, Chapter 5, 199-226 (2017)

*:Riahi, D. N., “Blood flow in catheterized elastic artery with stenosis”, *International Journal of Medical Physiology*, **2**, 1-4 (2017)

*:Riahi, D. N., “Oscillatory blood flow in elastic artery with stenosis”, *International Journal of Applied Physics*, **2**, 35-38 (2017)

*:Riahi, D. N., “Finite bandwidth, nonlinear convective flow in a mushy layer”, *Fluid Dynamics Research (IOP on Behalf of The Japan Society of Fluid Mechanics)*, **49**, 025513 (21 pages) (2017)

*:Riahi, D. N., “Effect of low rotation rate on steady convection during the solidification of a ternary alloy”, *Transport in Porous Media (Springer)*, **116**, 705-726 (2017)

*:Orizaga, S. & Riahi, D. N., “Nonlinear wave interaction and resonance of spatially growing electrically forced jets”, *International Journal of Advances in Applied Mathematics and Mechanics*, **4**(2), 1-11 (2016)

*:Gracia, A., Riahi, D. N. & Roy, R., “On two-dimensional steady flow in solid tumors”, *International Journal of Fluid Mechanics Research*, **43**(4), 319-332 (2016)

*:Riahi, D. N., “Modeling unsteady two-phase blood flow in catheterized elastic artery with stenosis”, *Engineering Science and Technology, an International Journal (Elsevier)*, **19**, 1233-1243 (2016)

*:Riahi, D. N., “On nonlinear transient state of modal package convection in a mushy layer”, *Proceedings of The Royal Society of London, Series A*, **472**, 20150810 (19 pages) (2016)

*:Bhatta, D. & Riahi, D. N., “On nonlinear three-dimensional convective flow in a mushy layer”, *Int. Journal of Evolutions Eqs.*, **9**(3) (2015)

*:Bhatta, D. & Riahi, D. N., “Amplitude equation for a nonlinear three-dimensional convective flow”, Proceedings of Mathematics & Statistics: Mathematics & Computing, Springer, Chapter 27, 399-410 (2015)

*:Roy, R., Cisneros, J. & Riahi, D. N., “Unsteady two-phase flow in a catheterized artery with atherosclerosis”, *International Journal of Fluid Mechanics Research*, **42**(4), 334-354 (2015)

*:Gracia, A., Riahi, D. N. & Roy, R., “Mathematical modeling of two-dimensional unsteady flow in growing tumor”, *Application and Applied **Mathematics: An International Journal*, **10**(1), 230-248 (2015)

*:Orizaga, S. & Riahi, D. N., “On nonlinear spatio-temporal instability of electrically forced jets”, *Int. J. Non-Linear Mech., 74, 38-39* (2015)

*:Orizaga, S., Riahi, D. N. & Hou, L. S., “Nonlinear spatio-temporal instability regime for electrically forced viscous jets”, *International Journal of Nonlinear Mechanics*, **67**, 218-230 (2014)

*:Roy, R., Riahi, D. N. & Carrasquero, N., “Mathematical modeling of blood flow in an artery with unsteady stenosis using power-law fluid model”,* Transactions on Applied Mathematics*, **1**(2), 88-103 (2014)

*:Riahi, D. N., “On three-dimensional nonlinear buoyant convection in ternary solidification”, *Transport in Porous Media*, **103**, 249-277 (2014)

*:Garcia, A. E. and Riahi, D. N., “Two-phase blood flow and heat transfer in an inclined stenosed artery with or without a catheter”, *International Journal of Fluid Mechanics Research*, **41**(1), 16-30 (2014)

***:**Riahi, D. N. & Roy, R., “Mathematical modeling of fluid flow in brain tumor”, *Journal of Theoretical and Applied Mechanics*, **52**(1), 271-279 (2014)

***:**Roy, R. & Riahi, D. N., “Modeling blood flow in a brain tumor treated concurrently with radiotherapy and chemotherapy”, *Applied Mathematics and Physics*, **1**(3), 67-77 (2013)

***:**Garcia, A. E. & Riahi, D. N., “Two-phase blood flow with or without a catheter and in the presence of single or multi stenosis”, *Application and Applied Mathematics: An International Journal*, **8**(2), 506-522 (2013)

*:Riahi, D. N., “Nonlinear evolution analysis and stability for convection in a mushy layer with permeable interface”, *Mechanics Research Communications*, **50**, 22-26 (2013)

*:Riahi, D. N. & Garcia, A. E., “Flow and heat transfer in an artery with stenosis” (invited article), *Mathematics and Computers in Biology and Biomedical Informatics*, 49-54 (2013)

*:Bhatta, D. & Riahi, D. N., “Nonlinear evolution analysis for flow during alloy solidification” (invited chapter), *Focus on Nonlinear Analysis Research*, 163-200 (2013), Nova Science Publications, Inc.

*:Roy, R. & Riahi, D. N., “On blood flow in an artery with an overlapping stenosis: Mathematical and computer modeling”, *Int. Journal of Fluid Mechanics Research*, **40**(1), 9-26 (2013)

*:Riahi, D. N. & Garcia, A. E., “Blood flow in an artery with multi stenosis” (invited article), *Mathematics and Computers in Biology and Biomedical Informatics*, 45-48 (2013)

*Ledesma, J. M., Riahi, D. N. & Roy, R., “Two-phase flow in a catheterized artery”, *Journal of Theoretical and Applied Mechanics*, **51**(2), 409-418 (2013)

*:Bhatta, D., Muddamallappa, M. S. & Riahi, D. N., “Magnetic and permeability effects on weakly nonlinear magneto-convective flow in active mushy layers”, *Int. Journal of Fluid Mechanics Research*, **39**(6), 494-520 (2012)

*:Roy R. & Riahi, D. N., “On the steady and unsteady blood flow with an overlapping stenosis”, *Analysis and Mathematical Physics*, **2**, 447-460 (2012)

***:**Riahi, D. N., “Hydromagnetic stability of flow during solidification (invited article)”, *Recent Advances in Mechanical Engineering Series*, **1**, 330-333 (2012)

***:**Riahi, D. N., “Effect of a vertical magnetic field on nonlinear convection in a mushy layer”, *Journal of Porous Media*, **15**(9), 805-821 (2012)

*:Riahi, D. N. & Roy, R., “Unsteady blood flow in an artery with an overlapping stenosis”, *International Journal of Applied Mechanics”*, **4**(2), 1250016, (16 pages) (2012)

*:Orizaga, S. and Riahi, D. N., “On combined spatial and temporal instabilities of electrically driven jets with constant or variable applied field”, *Journal of Theoretical and Applied Mechanics*, **50**(1), 301-319 (2012)

*:Riahi, D. N., “Stability and perturbation analyses for nonlinear convection in a mushy layer”, *Mechanics Research Communications*, **39**, 18-22 (2012)

*:Riahi, “On nonlinear magneto convection in a mushy layer with joule heating”, *International Journal of Non-Linear Mechanics*, **47**, 49-54 (2012)

*:Bhatta, D., Riahi, D. N. and Muddamallappa, m. S., “On nonlinear convective flow evolution in an active mushy layer”, *Journal of Engineering Mathematics*, **74**, 73-89 (2012)

*:Bhatta, D. and Riahi, D. N., “Magnetic effect on nonlinear evolution of convective flow in a passive mushy layer”, *International **Journal of Evolution Equations*, **6**(2), 89-113 (2012)

*:Bhatta, D., Riahi, D. N. and Muddamallappa, M. S., “Inertial effect on convective flow in mushy layer”,* Journal of Applied Mathematics and Informatics*, **30**(3-4), 499-510 (2012)

*:Riahi, D. N., “On spatially growing jets driven by uniform applied field”, *International Journal of Mathematical Modeling, Simulation and Applications*, **4**(4) (2012)

*:Riahi, D. N. and Roy, R., “On arterial blood flow in presence of an overlapping stenosis”, *Mathematical and Computer Modelling*, **54**, 2999-3006 (2011)

*:Riahi, D. N., “On spatial instability of an electrically forced non-axiymmetric jet with curved centerline”, *Applied Mathematical Modelling*, **35**(3), 1124-1133 (2011)

*:Orizaga, S. and Riahi, D. N., “Resonant instability and nonlinear wave interactions in electrically forced jets”, *Nonlinear Analysis: Real World Applications*, **12**, 1300-1312 (2011)

*:Riahi, D. N. and Roy, R., “Mathematical modeling of peristaltic flow of chyme in small intestine”, *Applications and Applied Mathematics: An International Journal*, **6**(12), 427-447 (2011)

*:Das, S., Bhatta, D. and Riahi, D. N., “Effect of non-zero basic velocity on spatial instability of electrically forced axisymmetric jets”, *International Journal of Applied Math and Applications*, **3**(1), 49-61 (2011)

*:Lazard, M., Buikis, A., Shmaliy, Y. S., Revertria, R., Mastorakis, N., Martin, O., Bognar, G., Sohrab, S. H., Riahi, D. N. and Gillich, G. R., editors, *Recent Advances in Fluid Mechanics and Heat & Mass Transfer* (2011), 449 pages, World Scientific & Engineering Academy & Society Press, www.wseas.org

*:Riahi, D. N., “Nonlinear steady hydromagnetic convection in mushy layers during alloy solidification”, *Fluid Dynamic Research*, **43**, 045501, 1-16 (2011)

*:Riahi, D. N., “On magneto convection in a mushy layer”, *Transport in Porous Media*, **89**(2), 285-286 (2011)

*:Riahi, D. N., “On spatial instability of electrically forced jets (invited article)”, *Recent Advances in Fluid Mechanics, and Heat & Mass Transfer*, 203-207 (2011)

*:Roy, R., Rios, F. and Riahi, D. N., “Mathematical modeling of flow of chyme during gastrointestinal endoscopy”, *Journal of Applied Mathematics*, **2**(5), 600-607 (2011)

*:Bhatta, D. and Riahi, D. N., “Adjoint system for a magneto-convective flow in an active mushy layer”, *Journal of Applied Mathematics and Informatics*, **29**(5-6), 1269-1283 (2011)

*:Lazard, M., Buikis, A., Shmaliy, Y. S., Revertria, R., Mastorakis, N., Martin, O., Bognar, G., Sohrab, S. H., Riahi, D. N. and Gillich, G. R., editors, *Recent Advances in Applied and Biomedical Informatics and Computational Engineering in Systems Applications *(2011), 470 pages, WSEAS Press

*:Olivares, R. J. and Riahi, D. N., “Mathematical modeling and computation of channel flow over discrete structures”, *Applications and Applied Mathematics: An International Journal*, **6**(11), 1751-1766 (2011)

*:Riahi, D. N., “Flow in a passive mushy layer with viscous dissipation (invited article)”, *Recent Advances in Fluid Mechanics and Heat & Mass Transfer*, 219-223 (2011)

*:Bhatta, D., Das, S. and Riahi, D. N., “On temporal instability of electrically forced axisymmetric jets with variable applied field and non-zero basic state velocity”, *Applications and Applied Mathematics: An International Journal*, **6**(11), 1767-1780 (2011)

*:Bhatta, D., Muddamallappa, M. S. and Riahi, D. N., “On perturbation and marginal stability analysis of magneto-convection in active mushy layer”, *Transport in Porous Media*, **82**(2), 385-399 (2010)

*:Riahi, D. N., “On flow during crystallization (invited chapter)”, B. Veress & J. Szigethy, editors, *Horizons in Earth Science Research*, 299-311 (2010), Nova Science Publications, Inc.

*:Carrasquero, N. J. and Riahi, D. N., “On instability of electrically forced jets and applications to electrospinning”, *International Journal of Applied Mathematics and Statistics*, **16**(M10), 1-10 (2010)

*:Muddamallappa, M. S., Bhatta, D. and Riahi, D. N., “Linear stability analysis of convective flow in a mushy layer with non-uniform magnetic field and permeable mush-liquid interface”, *Journal of Porous Media*, **13**(10), 925-929 (2010)

*:Riahi, D. N., “Mathematical modeling and computation of convective flows in liquid systems with special effects (invited review paper)”, *International Science & Technology Transactions of Mechanical Systems*, **1**(1), 1-5 (2010)

*:Bhatta, D., Muddamallappa, M. S. and Riahi, D. N., “On weakly nonlinear evolution of convective flow in a passive mushy layer”, *Nonlinear Analysis: Real World Applications*, **11**(5), 4010-4020 (2010)

*:Riahi, D. N., “On nonlinear evolution approach for convective flow during alloy solidification”, *Transport in Porous Media*, **84**(3), 655-662 (2010)

*:Okhuysen, B. S. and Riahi, D. N., “Perturbation and stability analyses of nonlinear buoyant flow in mushy layers”, *Fluid Dynamic Research*, **42**, 055510, 1-27 (2010)

*:Riahi, D. N., “Electrically forced jet instabilities and applications (invited article)”, *New Aspects of Fluid Mechanics, Heat Transfer & Environment*, 15-16 (2010)

*:Riahi, D. N., “Modeling air flow over structured surfaces (invited articles)”, *Continuum Mechanics, Fluid, Heat*, 241-245 (2010)

*:Riahi, D. N., “On oscillatory modes of nonlinear compositional convection in mushy layers”, *Nonlinear Analysis: Real World Applications*, **10**, 209-226 (2009)

*:Riahi, D. N., “On spatial instability of electrically forced axisymmetric jets with variable applied field”, *Applied Mathematical Modelling*, **33**, 3546-3552 (2009)

*:Carrasquero, N. S., Riahi, D. N. and Bhatta, D., “On marginal stability computation of flow in a rotating cylindrical annulus and application to protein crystal growth”, *International Journal of Applied Mathematics and Statistics*, **14**(J09), 68-81 (2009)

*:Okhuysen, B. S. and Riahi, D. N., “Perturbation and stability analyses of flow in a mushy layer with permeable interface”, *Nonlinear Analysis: Real World Applications*, **10**, 3230-3239 (2009)

*:Riahi, D. N., “Flow structure in horizontal dendrite layer (invited article)”, *Recent Advances in Continuum Mechanics*, 64-68 (2009)

*:Riahi, D. N., “Linear spatial instability of electrically forced jet flows (invited articles)”, *Recent Advances in Continuum Mechanics*, 79-84 (2009)

*:Riahi, D. N., “Stability analyses of a system of nonlinear partial differential equations and application (invited article)”, *Recent Advances in Applied Mathematics and Computational and Information Sciences*, **1**, 16-17 (2009)

*:Carrasquero, N. J., Riahi, D. N. and Bhatta, D., “Numerical study of marginal stability of a rotating flow with application to flow around growing protein crystal”, *International Journal of Mathematical Modeling, Simulation and Applications*, **2**(1), 39-53 (2009)

*:Riahi, D. N. and Obare, C. W., “Analysis of rotating flow around a growing protein crystal”, *Application and Applied Mathematics: An International Journal*, **4**(1), 13-25 (2009)

*:Muddamallappa, M. S., Bhatta, D. and Riahi, D. N., “Numerical investigation on marginal stability and convection with and without magnetic field in a mushy layer”, *Transport in Porous Media*, **79**, 301-317 (2009)

*:Orizaga, S. and Riahi, D. N., “Spatial instability of electrically driven jets with finite conductivity and under constant or variable applied field”, *Application and Applied Mathematics: An International Journal*, **4**(2), 249-262 (2009)

*:Riahi, D. N., “Mathematical modeling of instability of electrically driven jet (invited article)”, *Recent Advances in Applied Mathematics and Computational and Information Sciences*, **1**, 63-68 (2009)

*:Riahi, D. N., “On spatial electro-hydrodynamic instability of a jet (invited article)”, *Recent Advances in Applied Mathematics and Computational and Information Sciences*, **1**, 73-77 (2009)

*:Riahi, D. N., “Secondary flow in a mushy layer (invited article)”, *Recent Advances in Fluid Mechanics and Aerodynamics*, 177-178 (2009)

*:Riahi, D. N., “Convection in a horizontal porous layer (invited article)”, *Recent Advances in Heat Transfer, Thermal Engineering and Environment*, 215-218 (2009)

*:Okhuysen, B. S. and Riahi, D. N., “On weakly nonlinear convection in mushy layers during solidification of alloys”, *Journal of Fluid Mechanics, ***596**, 143-167 (2008)

*:Riahi, D. N., “On flow in a mushy layer with deformable interface (invited article)”, *Theoretical and Experimental Aspects of Fluid Mechanics*, 207-212 (2008)

*:Riahi, D. N., “Modeling nonlinear flow during alloy solidification (invited article)”, *New Aspects in Fluid mechanics and Aerodynamics*, 18-19 (2008)

*:Riahi, D. N., “On cellular structure of convective flow in mushy layers”, *International Journal of Dynamic of Continuous, Discrete and Impulsive Systems*, **14**(S2), 195-199 (2008)

*Okhuysen, B. S. and Riahi, D. N., “Nonlinear buoyant convection in mushy layers”, *Journal of Porous Media*, **11**, 291-303 (2008)

*:Riahi, D. N., “On mixed oscillatory and steady modes of nonlinear convection in mushy layers”, *Transport in Porous Media*, **72**, 121-138 (2008)

*:Okhuysen, B. S. and Riahi, D. N., “Flow instabilities of liquid and mushy regions during alloy solidification and under high gravity environment”, *International Journal of Engineering Science*, **46**, 189-201 (2008)

*:Riahi, Riahi, D. N., “Nonlinear convective flow in rotating mushy layers (invited article)”, *Theoretical and Experimental Aspects of Fluid Mechanics*, 16-17 (2008)

*:Riahi, D. N., “On the stability of the secondary flow in a mushy layer (invited article)”, *New Aspects of Fluid Mechanics and Aerodynamics*, 93-98 (2008)

*:Riahi, D. N., “On compositional convection in mushy layers with permeable interface (invited article)”, *New Aspects of Fluid Mechanics & Aerodynamics*, 99-104 (2008)

*:Riahi, D. N., “Steady and oscillatory flow in a mushy layer (invited chapter)”, *Current Topics in Crystal Growth Research*, **8**, 1-8 (2008)

*:Bhattacharjee, P. and Riahi, D. N., “Mathematical modeling of flow control using magnetic fluid and field (invited chapter)”, *Functional Equations, Integral Equations & Differential Equations with Applications *(Special Issue on Leonhard Paul Euler’s: Differential Equations and Inequalities-S07), *International Journal of Applied Mathematics and Statistics*, **10**, 81-97 (2007)

*:Riahi, D. N., “Mathematical modeling of wind forces(invited chapter)”, *Functional Equations, Integral Equations & Differential Equations with Applications *(Special Issue on Leonhard Paul Euler’s: Differential Equations and Inequalities-S07), *International Journal of Applied Mathematics and Statistics*, **10**, 70-80 (2007)

*:Riahi, D. N., “Inertial and Coriolis effects on oscillatory flow in a horizontal dendrite layer”, *Transport in Porous Media*, **69**, 301-312 (2007)

*:Riahi, D. N., “On mathematical modeling, nonlinear properties ans stability of secondary flow in a dendrite layer”, *Application and Applied Mathematics: An International Journal*, **2**, 122-135 (2007)

*:Riahi, D. N., “Inertial effects on rotating flow in a porous layer”, *Journal of Porous Media*, **10**(4), 343-356 (2007)

*:Yoo, S. and Riahi, D. n., “Numerical studies of flow instabilities in a channel with a moving wavy boundary”, *International Journal of Applied Mathematical Analysis and Applications*, **1**, 101-128 (2006)

*:Riahi, D. N., “Nonlinear oscillatory convection in rotating mushy layers”, *Journal of Fluid Mechanics*, **553**, 389-400 (2006)

**Books**

1. Lazard, M., Buikis, A., Shmaliy, Y. S., Revetria, R., Mastorakis, N., Martin, O., Bognar, G., Sohrab, S. H., Riahi, D. N. and Gillich, G. R., editors, Recent Advances in Fluid Mechanics and Heat & Mass Transfer (2011), World Scientific & Engineering Academy & Society Press, www.wseas.org

2. Riahi, D. N., Flow Instability, (2000), Computational Mechanics Publications, UK

3. Debnath, L. and Riahi, D. N., editors, Nonlinear Instability, Chaos and Turbulence, Volume II (2000), Computational Mechanics Publications, UK

4. Debnath, L. and Riahi, D. N., editors, Nonlinear Instability, Chaos and Turbulence, Volume I (1998), Computational Mechanics Publications, UK

5. Riahi, D. N., editor, Mathematical Modeling and Simulation in Hydrodynamic Stability (1996), World Scientific Publishing Company

6. Riahi, D. N., editor, Laboratory Notes for Fluid Mechanics, Second edition (1993), McGraw-Hill Book Company, USA

7. Riahi, D. N., editor, Laboratory Notes in Fluid Mechanics, First edition (1992), McGraw-Hill Book Company, USA

**Chapters in books**

8. Riahi, D. N., “On flow during crystallization (invited chapter)”, B. Veress & J. Szigethy, editors, Horizons in Earth Science Research, 299-311 (2010), Nova Science Publications, Inc.

9. Riahi, D. N., “Steady and oscillatory flow in a mushy layer (invited chapter)”, Current Topics in Crystal Growth Research 8, 1-8 (2008).

10. Bhattacharjee, P. and Riahi, D. N., “Mathematical modeling of flow control using magnetic fluid and field (invited chapter)”, Functional Equations, Integral Equations & Differential Equations with Applications (Euler volume), International Journal of Applied Mathematics & Statistics, 10, 81-97 (2007).

11. Riahi, D. N., “Mathematical modeling of wind forces (invited chapter)”, Functional Equations, Integral Equations & Differential Equations with Applications Euler volume), International Journal of Applied Mathematics & Statistics, 10, 70-80 (2007)

12. Riahi, D. N., “Modeling flows in protein crystal growth (invited chapter)”, Current Topics in Crystal Growth Research “, 7, 71-77 (2006)

13. Riahi, D. N., “On flow of binary alloys during crystal growth (invited chapter)”, Recent Development in Crystal Growth Research 3, 49-59 (2003)

14. Riahi, D. N., “On fluid dynamics during crystallization (invited chapter)”, Recent Research Developments in Fluid Dynamics 4, 87-94 (2003)

15. Dong, F., Riahi, D. N., and Hsui, A. T., “On similarity waves in compacting media (invited chapter)”, Horizons in World Physics , 244, 45-82 (2004), Nova Science Publishers, Inc., New York

16. Riahi, D. N., “Effects of rotation on convection in a porous layer during alloy solidification (invited chapter)”, D. B. Ingham and I. Pop, Eds., Transport Phenomena in Porous Media, 316-340 (2002), Elsevier Science, Oxford

17. Riahi, D. N., “Magnetohydrodynamic effects in high gravity convection during alloy solidification (invited chapter)”, L. L. Regel and W. R. Wilcon, editors, Processing by Centrifugation, 317-324 (2001), Plenum Publishing Corporation

18. Riahi, D. N., “Nonaxisymmetric chimney convection in a mushy layer under a high-gravity environment (invited chapter)”, Processing by Centrifugation, 295-302 (2001), Plenum Publishing Corporation

19. Riahi, D. N., “Buoyancy driven flow in a rotating low Prandtl number melt during alloy solidification (invited chapter)”, Current Topics in Crystal Growth Research 5, 151-161 (2000)

20. Riahi, D. N., “High Rayleigh number convection in a rotating melt during alloy solidification (invited chapter)”, Recent Development in Crystal Growth Research 2, 211-222 (2000)

21. Riahi, D. N., “Nonlinear thermal instability in spherical shells”, Debnath, L. and Riahi, D. N., editors, Nonlinear Instability, Chaos and Turbulence, Volume II, 377-402 (2000), Computational Mechanics Publications, UK

22. Riahi, D. N., “Boundary layer theory of magneto-hydrodynamic turbulent convection (invited chapter)”, Proceedings of Indian National Science Academy 65A, 109-116 (1999), Physical Science

23. Riahi, D. N., “High gravity convection in a mushy layer during alloy solidification”, D. N. Riahi and L. Debnath, editors, Nonlinear Instability, Chaos and Turbulence, Volume I, 301-336 (1998), Computational Mechanics Publications, UK

24. Baker, C. F., and Riahi, D. N., “Chimney formation and flow instabilities in a mushy layer with deformed boundaries”, L. L. Regel and W. Wilcox, editors, Centrifugal Materials Processing, 163-168 (1997), Plenum Publishing Corporation

25. Riahi, D. N., “Effects of high gravity on freckles formation and convection in a mushy layer (invited chapter)”, L. L. Regel and W. Wilcox, editors, Centrifugal Materials Processing, 169-176 (1997), Plenum Publishing Corporation

26 Riahi, D. N., “Weakly and strongly nonlinear stability analysis for convection systems: nonlinear instability analysis (invited chapter)”, L. Debnath and R. Choudhary, editors, Advances in Fluid Mechanics, 186-219 (1997), Computational Mechanics Publications

27. Riahi, D. N., “Modeling and simulation for primary instabilities in shear flows”, Mathematical Modeling and Simulation in Hydrodynamic Stability, 149-171 (1996), World Scientific Publishing Company

28. Riahi, D. N., “Nonlinear stability analysis and modeling for convective flows”, Mathematical Modeling and Simulation in Hydrodynamic Stability, 117-148 (1996), World Scientific Publishing Company

29. Riahi, D. N., “Patterns of convection in spherical shells (invited chapter)”, J. Mener, editor, Current Topics in the Physics of Fluids, Volume I, 197-205 (1995), Council of Scientific Information

30. Riahi, D. N., “Modeling and analysis for buoyancy driven turbulent flows”, Developments in Mechanics, 166-168 (1995)

31. Riahi, D. N. and Sayre, T. L., “High gravity convection in a mushy layer”, Developments in Mechanics, 172-174 (1995)

32. Riahi, D. N., “Thermocapillary convection in a liquid cylinder at moderate or large Prandtl number”, L. A. Godoy, S. R. Idelsohn, P. A. A. Laura & D. T. Mook Editors, In Applied Mechanics in America, Volume 3, 129-134 (1995)

33. Riahi, D. N., “Patterns of convections in horizontal layers (invited chapter)”, J. Mener, editor, Current Topics in the Physics of Fluids, Volume I, 187-195 (1995), Council of Scientific Information

34. Sayre, T. L. and Riahi, D. N., “Flow instabilities during solidification in high gravity”, Developments in Mechanics, 169-171 (1995)

35. Riahi, D. N. and Vonderwell, M. P., “An asymptotic investigation of modes of instability of the compressible boundary layer over a swept wing”, M. Y. Hussaini, T. B. Gatski and T. L. Jackson, editors, Transition, Turbulence and Combustion 1, 235-243 (1994), Kluwer Academic, Dordrecht, Netherlands

36. Riahi, D. N., “Effects of Coriolis and centrifugal forces on the melt during directional solidification of a binary alloy (invited chapter)”, L. L. Regel, editor, Material Processing in High Gravity, 133-137 (1994), Plenum Publishing Corporation

37. Kuah, T. H. and Riahi, D. N., “Computational investigation of primary flow instability and its control in plane wakes”, I. C. Jong and F. A. Akl editors, In Development in Theoretical and Applied Mechanics 17, 557-570 (1994)

38. Riahi, D. N., “Renormalization group theory and modeling in a stratified turbulence”, M. Y. Hussaini, T. B. Gatski and T. L. Jackson, editors, Transition, Turbulence and Combustion 2, 133-136 (1994), Kluwer Academic, Dordrecht, Netherlands

39. Hadji, L. and Riahi, D. N., “Axisymmetric convective patterns in thin spherical shells”, I. C. Jong and F. A. Akl editors, In Development in Theoretical and Applied Mechanics, 17, 444-449 (1994)

40. Riahi, D. N., “Wave pattern of convection in spherical shells with applications to mantle convection”, I. C. Jong and F. A. Akl editors, In Development in Theoretical and Applied Mechanics, 17, 469-473 (1994)

41. Riahi, D. N., “Zero gravity thermocapillary instability of a horizontal fluid layer with deformed free surface”, Fluid Mechanics Phenomena in Microgravity, II, 19-22 (1993)

42. Riahi, D. N., “Nonlinear dispersive waves in convective flows (invited chapter)”, L. Debnath, editor, Nonlinear Dispersive Waves: the Mathematical Theory with Application to Fluids and Plasmas, 417-423 (1992), World Science Publishing Company

43. Riahi, D. N., “Effects of buoyancy and rotation on the cellular growth near absolute stability”, B. Antar, R. Engels, A. A. Prinaris and T. H. Moulden, In Developments in Theoretical and Applied Mechanics 16, 17-20 (1992)

44. Riahi, D. N., “Modulational stability of rotating-disk flow”, M. Y. Hussaini and R. G. Voight, editors, Instability and Transition 2, 160-170 (1990), Springer-Verlag, New York

45. Riahi, D. N. and Moser, R. D., “Low order model for a mixing layer; studying turbulence using numerical simulation data bases”, Summer Research at Center for Turbulence Resaerch, volume III, 205-210 (1990).

46. Riahi, D. N., “Convection with variable fluid properties and internal heating”, Edited by D. A. Drew and J. E. Flaherty, Mathematics Applied to Fluid Mechanics and Stability, 257-262 (1986), SIAM Publications

47. Riahi, D. N., “Stability region of cellular convection with nearly insulating boundaries”, T. J. Chung and G. R. Karr editors, Developments in Theoretical and Applied Mechanics, 11, 357-367 (1982)

**Journal Articles:**

48. Riahi, D. N., “Effect of a vertical magnetic field on nonlinear convection in a mushy layer”, Journal of Porous Media, **15**(9), 805-821 (2012)

49. Riahi, D. N. and Roy, R., “Mathematical modeling of peristaltic flow of chyme in small intestine”, Applications and Applied Mathematics: An International Journal, **6**(12), 427-447 (2011)

50. Orizaga, S. and Riahi, D. N., “On combined spatial and temporal instabilities of electrically driven jets with constant or variable applied field”, Journal of Theoretical and Applied Mechanics, **50**(1), 301-319 (2012)

51. Das, S., Bhatta, D. and Riahi, D. N., “Effect of non-zero basic velocity on spatial instability of electrically forced axisymmetric jets”, International Journal of Applied Mathematics and Applications, **3**(1), 49-61 (2011)

52. Riahi, D. N. and Roy, R., “On arterial blood flow in presence of an overlapping stenosis”, Mathematical and Computer Modelling, 54, 2999-3006 (2011)

53. Riahi, D. N., “Nonlinear steady hydromagnetic convection in mushy layers during alloy solidification”, Fluid Dynamic Research, 43, 045501, 1-16 (2011).

54. Riahi, D. N., “On magneto convection in a mushy layer”, Transport in Porous Media, 89(2), 285-286 (2011)

55. Bhatta, D., Riahi, D. N. and Muddamullappa, M. S., “On nonlinear convective flow evolution in an active mushy layer”, Journal of Engineering Mathematics, **74**, 73-89 (2012).

56. Roy, R., Rios, F. and Riahi, D. N., “Mathematical modeling of flow of chyme during gastrointestinal endoscopy”, Journal of Applied Mathematics, 2(5), 600-607 (2011).

57. Bhatta, D. and Riahi, D. N., “Adjoint system for a magneto-convective flow in an active mushy layer”, Journal of Applied Mathematics & Informatics, **29**(5-6), 1269-1283 (2011)

58. Bhatta, D., Das, S. and Riahi, D. N., “On temporal instability of electrically forced axisymmetric jets with variable applied field and non-zero basic state velocity”, Applications and Applied Mathematics: an International Journal, 6(11), 1767-1780 (2011).

59. Olivares, R. J. and Riahi, D. N., “Mathematical modeling and computation of channel flow over discrete structures”, Applications and Applied Mathematics: an International Journal, 6(11), 1751-1766 (2011)

60. Riahi, D. N., “On spatial instability of an electrically forced non-axisymmetric jet with curved centerline”, Applied Mathematical Modelling, 35(3), 1124-1133 (2011).

61. Orizaga, S. and Riahi, D. N., “Resonant instability and nonlinear wave interactions in electrically forced jets”, Nonlinear Analysis: Real World Applications, 12, 1300-1312 (2011).

62. Bhatta, D., Muddamallappa, M. S. and Riahi, D. N., “On perturbation and marginal stability analysis of magneto-convection in active mushy layer, Transport in Porous Media, 82(2), 385-399 (2010)

63. Carrasquero, N. J. and Riahi, D. N., “On instability of electrically forced jets and applications to electrospinning”, International Journal of Applied Mathematics and Statistics, 16(M10), 1-10 (2010)

64. Muddamallappa, M. S., Bhatta, D. and Riahi, D. N., “Linear stability analysis of convective flow in a mushy layer with non-uniform magnetic field and permeable mush-liquid interface, Journal of Porous Media, 13(10), 925-929 (2010).

65. Riahi, D. N., “Mathematical modeling and computation of convective flows in liquid systems with special effects (invited review paper)”, International Science & Technology Transactions of Mechanical Systems, 1(1), 1-5 (2010).

66. Bhatta, D., Muddamallappa, M. S. and Riahi, D. N., “On weakly nonlinear evolution of convective flow in a passive mushy layer, Nonlinear Analysis: Real World Applications, 11(5), 4010-4020 (2010).

67. Riahi, D. N., “On nonlinear evolution approach for convective during alloy solidification”, Transport in Porous Media, 84(3), 655-662 (2010).

68. Okhuysen, B. S. and Riahi, D. N., “Perturbation and stability analyses of nonlinear buoyant flow in mushy layers, Fluid Dynamic Research, 42(055510), 1-27 (2010).

69. Riahi, D. N., “On oscillatory modes of nonlinear compositional convection in mushy layers”, Nonlinear Analysis: Real World Applications, 10, 209-226 (2009).

70. Riahi, D. N., “On spatial instability of electrically forced axisymmetric jets with variable applied field”, Applied Mathematical Modelling, 33, 3546-3552 (2009).

71. Carrasquero, N. S., Riahi, D. N. and Bhatta, D., “On marginal stability computation of flow in a rotating cylindrical annulus and application to protein crystal growth, International Journal of Applied Mathematics and Statistics, 14(J09), 68-81 (2009).

72. Okhuysen, B. S. and Riahi, D. N., “Perturbation and stability analyses of flow in a mushy layer with permeable interface, Nonlinear Analysis: Real World Applications, 10, 3230-3239 (2009).

73. Carrasquero, N. S., Riahi, D. N. and Bhatta, D., “Numerical study of marginal stability of a rotating flow with application to flow around growing protein crystal”, Journal of Mathematical Modeling, Simulation and Applications, 2(1), 39-53 (2009).

74. Riahi, D. N. and Obare, C. W., “Analysis of rotating flow around a growing protein crystal”, Application and Applied Mathematics: an International Journal, 4(1), 13-25 (2009).

75. Muddamallappa, M. S., Bhatta, D. and Riahi, D. N., “Numerical investigation on marginal stability and convection with and without magnetic field in a mushy layer”, Transport in Porous Media, 79, 301-317 (2009).

76. Orizaga, S. and Riahi, D. N., “Spatial instability of electrically driven jets with finite conductivity and under constant or variable applied field”, Application and Applied Mathematics: an International Journal, 4(2), 249-262 (2009).

77. Riahi, D. N., “On cellular structure of convective flow in mushy layers”, International Journal of Dynamic of Continuous, Discrete and Impulsive Systems, 14(S2), 195-199 (2008).

78. Okhuysen, B. S. and Riahi, D. N., “Nonlinear buoyant convection in mushy layers during alloy solidification”, Journal of Porous Media, 11, 291-303 (2008).

79. Riahi, D. N., “On mixed oscillatory and steady modes of nonlinear convection in mushy layers”, Transport in Porous Media, 72, 121-138 (2008).

80. Okhuysen, B. S. and Riahi, D. N., “On weakly nonlinear convection in mushy layers during solidification of alloys”, Journal of Fluid Mechanics, 596, 143-167 (2008).

81. Okhuysen, B. S. and Riahi, D. N., “Flow instabilities of liquid and mushy regions during alloy solidification and under high gravity environment”, International Journal of Engineering Science, 46, 189-201 (2008).

82. Riahi, D. N., “Inertial and Coriolis effects on oscillatory flow in a horizontal dendrite layer”, Transport in Porous Media, 69, 301-312 (2007).

83. Riahi, D. N., “On mathematical modeling, nonlinear properties and stability of secondary flow in a dendrite layer”, Application and Applied Mathematics: an International Journal, 2, 122-135 (2007).

84. Riahi, D. N., “Inertial effects on rotating flow in a porous layer”, Journal of Porous Media, 10(4), 343-356 (2007).

85. Yoo, S., and Riahi, D. N., “Numerical studies of flow instabilities in a channel with a moving wavy boundary”, International Journal of Applied Mathematical Analysis and Applications, 1, 101-128 (2006)

86. Riahi, D. N., “Nonlinear oscillatory convection in rotating mushy layers”, Journal of Fluid Mechanics 553, 389-400 (2006).

87. Riahi, D. N., and Hsui, A. T., “Effect of dept dependent thermal expansivity on high Rayleigh number thermal convection”, International Journal of Mathematical Sciences, 4, 43-53 (2006)

88. Riahi, D. N., “Flow instabilities in a horizontal dendrite layer rotating about an inclined axis”, Journal of Porous Media 8, 327-342 (2005)

89. Riahi, D. N., “Effect of permeability on steady flow in a dendrite layer”, Journal of Porous Media, 9(2), 135-153 (2006)

90. Riahi, D. N., “On nonlinear convection in mushy layers: Part 2. Mixed oscillatory and stationary modes of convection”, Journal of Fluid Mechanics 517, 71-102 (2004)

91. Bhattacharjee, P., and Riahi, D. N., “Computational studies of the effect of rotation on convection during protein crystallization”, International Journal of Mathematical Sciences 3, 447-468 (2004)

92. Riahi, D. N., “Nonlinear steady convection in rotating mushy layers”, Journal of Fluid Mechanics 485, 279-306 (2003)

93. Riahi, D. N., “On stationary and oscillatory modes of flow instability in a rotating porous layer during alloy solidification”, Journal of Porous Media 6, 177-187 (2003)

94. Bhattacharjee, P., and Riahi, D. N., “Effect of rotation on surface tension driven flow during protein crystallization”, Microgravity Science and Technology 14, 36-44 (2003)

95. Dong, F., Hsui, A. T. and Riahi, D. N., “A stability analysis and some numerical computations for thermal convection with a variable buoyancy factor”, Journal of Theoretical and Applied Mechanics (Sofia, Bulgaria) 32 (2), 19-46 (2002)

96. Riahi, D. N., “Nonlinear convection in mushy layers. Part I. Oscillatory modes of convection”, Journal of Fluid Mechanics 467, 331-359 (2002)

97. Riahi, D. N., “On a turbulent boundary layer flow over a moving wavy wall”, Far East Journal of Applied Mathematics 6, 1-15 (2002)

98. Riahi, D. N., “On the stability of shear flows with combined temporal and spatial imperfections”, Nonlinear Analysis Series B: Real World Applications 3, 611-628 (2002)

99. Riahi, D. N., “Wave and vortex generation and interaction in turbulent channel flow between wavy boundaries”, Far East Journal of Applied Mathematics 9, 59-79 (2002)

100. Riahi, D. N., “Boundary mode-vortex generation in turbulent channel flow over a non-wavy rough wall”, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 457, 2643-2666 (2001)

101. Riahi, D. N., “Effects of centrifugal and Coriolis forces on a hydromagnetic chimney convection in a mushy layer”, Journal of Crystal Growth 226, 393-405 (2001)

102. Riahi, D. N. and Hsui, A. T., “Finite amplitude thermal convection with variable gravity”, International Journal of Mathematics and Mathematical Sciences 25 (3), 153-165 (2001)

103. Hsui, A. T. and Riahi, D. N., “Onset of thermal-chemical convection with crystallization within a binary fluid and its geological implications”, Geochemistry, Geophysics, Geosystems 2, 1-30 (2001).

104. Riahi, D. N., “Effects of surface corrugation on primary instability modes in wall-bounded shear flows”, Nonlinear Analysis: Real World Applications, 2, 105-133 (2001).

105. Riahi, D. N., “Effects of a vertical magnetic field on chimney convection in a mushy layer”, Journal of Crystal Growth 216, 501-511 (2000)

106. Riahi, D. N., “On the effects of boundary corrugations on convective flow”, Journal of Theoretical and Applied Mechanics (Sofia, Bulgaria) 29, 22-36 (2000).

107. Riahi, D. N., “Boundary wave-vortex interactions in channel flow with a wavy wall at high Reynolds numbers”, Fluid Dynamics Research 25, 129-145 (1999).

108. Riahi, D. N., “Effect of rotation on a non-axisymmetric chimney convection during alloy solidification”, Journal of Crystal Growth 204, 382-394 (1999)

109. Riahi, D. N., “Effect of surface corrugation on convection in a three-dimensional finite box of fluid-saturated porous material”, Theoretical and Computational Fluid Dynamics 13, 189-208 (1999)

110. Riahi, D. N., “Review of lectures on geophysical fluid dynamics by Rick Solmon (Oxford University Press)”, Journal of Geoscience Education 47, 297-298 (1999)

111. Riahi, D. N., “Vortex formation and stability analysis for shear flows over combined spatially and temporally structured walls”, Mathematical Problems in Engineering 5, 317-328 (1999)

112. Riahi, D. N., “Analysis and modeling for a turbulent convective plume”, Mathematical and Computer Modelling 28, 57-63 (1998)

113. Riahi, D. N., “Direct resonance analysis and modeling for a turbulent boundary layer over a corrugated surface”, Acta Mechanica 131, 225-233 (1998)

114. Riahi, D. N., “Finite bandwidth, long wavelength convection with boundary imperfections: near-resonant wavelength excitation”, International Journal of Mathematics and Mathematical Sciences 21, 171-182 (1998)

115. Riahi, D. N., “Nonlinear instabilities of shear flows over rough walls”, Far East Journal of Applied Mathematics 2, 211-228 (1998)

116. Riahi, D. N., “On the structure of an unsteady mushy layer”, Acta Mechanica 127, 83-96 (1998)

117. Riahi, D. N., “Renormalization group analysis for turbulence of a chemically decay or reactive mixture”, Journal of Mathematical and Physical Sciences 30, 181-186 (1998)

118. Vonderwell, M. P. and Riahi, D. N., “Resonant instability mode triads in the compressible boundary-layer flow over a swept wing”, International Journal of Engineering Science 36, 599-624 (1998)

119. Riahi, D. N., “Effects of centrifugal and Coriolis forces on chimney convection during alloy solidification”, Journal of Crystal Growth 179, 287-298 (1997)

120. Sayre, T. L., and Riahi, D. N., “Oscillatory instabilities of the liquid and mushy regions during solidification of alloys under rotational constraint”, Acta Mechanica 121, 143-152 (1997)

121. Riahi, D. N., “Renormalization group analysis for thermal turbulence”, International Journal of Mathematics and Mathematical Sciences 20, 305-310 (1997)

122. Riahi, D. N., “Weakly nonlinear instability of non-parallel shear-flows”, International Journal of Nonlinear Mechanics 32, 277-283 (1997)

123. Sayre, T. L., and Riahi, D. N., “Effect of rotation on flow instabilities during solidification of a binary alloy”, International Journal of Engineering Science 34, 1631-1645 (1996)

124. Riahi, D. N., and Sayre, T. L., “Effect of rotation on the structure of a convecting mushy layer”, Acta Mechanica 118, 109-120 (1996)

125. Riahi, D. N., “Instability in turbulent shear flows with or without rotation”, Mathematical and Computer Modelling 24, 59-67 (1996)

126. Riahi, D. N., “Modal package convection in a horizontal porous layer with boundary imperfections”, Journal of Fluid Mechanics 318, 107-128 (1996)

127. Riahi, D. N., “Effects of roughness on nonlinear stationary vortices in rotating disk flows”, Mathematical and Computer Modelling, 25, 71-82 (1997)

128. Riahi, D. N., “Application of renormalization group method in thermally stratified turbulent flows”, Journal de Physique II 5, 745-752 (1995)

129. Riahi, D. N., “Finite amplitude thermal convection with spatially modulated boundary temperatures”, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 449, 459-478 (1995)

130. Riahi, D. N., “Note on refraction of wave packets”, Journal of Mathematical and Physical Sciences 28, 181-187 (1995)

131. Riahi, D. N., “Nonlinear Benard-Marangoni convection in a rotating layer”, International Journal of Engineering Science Incorporating Letters in Applied and Engineering Sciences 32, 877-882 (1994)

132. Riahi, D. N., “The effect of Coriolis force on nonlinear convection in a porous medium”, International Journal of Mathematics and Mathematical Sciences 17, 515-536 (1994)

133. Riahi, D. N., “Effect of rotation on the stability of the melt during the solidification of a binary alloy”, Acta Mechanica 99, 95-101 (1993)

134. Riahi, D. N., “Preferred pattern of convection in a porous layer with a spatially non-uniform boundary temperature”, Journal of Fluid Mechanics 246, 529-543 (1993)

135. Riahi, D. N., “Stability of the melt during the solidification of a binary alloy with a vertical magnetic field”, Journal of Mathematical and Physical Sciences 26, 429-442 (1993)

136. Vonderwell, M. P., and Riahi, D. N., “Weakly nonlinear development of rotating disk flow”, International Journal of Engineering Science 31, 549-558 (1993)

137. Riahi, D. N., “Directional solidification of a binary alloy with deformed melt-crystal interface and hydromagnetic effects”, International Journal of Engineering Science 30, 551-559 (1992)

138. Riahi, D. N., “Weakly nonlinear oscillatory convection in a rotating fluid”, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 436, 33-54 (1992)

139. Riahi, D. N., “Directional solidification in a rotating system with small segregation coefficient”, Physical Review B 44, 4170-4173 (1991)

140. Lie, K. H., Walker, J. S., and Riahi, D. N., “Melt motion in the float zone process with an axial magnetic field”, Journal of Crystal Growth 109, 167-173 (1991)

141. Riahi, D. N., “On the stability of a cellular flow under a solidifying surface”, Physics of Fluids 3, 2816-2818 (1991)

142. Lie, K. H., Walker, J. S., and Riahi, D. N., “Free surface shape and AC electric current distribution for float zone silicon growth with a radio frequency induction coil”, Journal of Crystal Growth 100, 450-458 (1990)

143. Hadji, L., Schell, M. and Riahi, D. N., “Interfacial pattern formation in the presence of convective currents”, Physical Review A 2, 863-873 (1990)

144. Riahi, D. N., “Nonlinear convection in a rotating layer with finite conducting boundaries”, Physics of Fluids 2, 353-358 (1990)

145. Lie, K. H., Riahi, D. N., and Walker, J. S., “Buoyancy and surface tension driven flows in float zone crystal growth with a strong axial magnetic field”, International Journal of Heat and Mass Transfer 32, 2409-2420 (1989)

146. Riahi, D. N. and Walker, J. S., “Float zone shape and stability with the electromagnetic body force due to a radio-frequency induction coil”, Journal of Crystal Growth 94, 635-642 (1989)

147. Riahi, D. N., “Hexagon pattern convection for Benard-Marangoni problem”, International Journal of Engineering Science 27, 689-700 (1989)

148. Riahi, D. N., “Nonlinear convection in a porous layer with permeable boundaries”, International Journal of Nonlinear Mechanics 24, 459-464 (1989)

149. Lie, K. H., Walker, J. S., and Riahi, D. N., “Centrifugal pumping in the float-zone growth of silicon crystal with an axial magnetic field”, Journal of Physico-Chemical Hydrodynamics 10, 441-460 (1988)

150. Riahi, D. N., “Nonlinear convection with variable properties and internal heating”, Journal of Mathematical and Physical Sciences 22, 161-180 (1988)

151. Lie, K. H. and Riahi, D. N., “Numerical solution of the Orr-Sommerfeld equations for mixing layers”, International Journal of Engineering Science 26, 163-174 (1988)

152. Riahi, D. N. and Busse, F. H., “Pattern generation by convection in spherical shells”, Zeitschrift fur Angewandte Mathematik und Physik 39, 699-712 (1988)

153. Busse, F. H., and Riahi, D. N., “Patterns of convection in spherical shells, III: Mixed modes”, Nonlinearity 1, 379-388 (1988)

154. Riahi, D. N., “Solutal convection in the melt during solidification of a binary alloy”, Physics of Fluids 31, 27-32 (1988)

155. Riahi, D. N., “Thermocapillary instability of a low Prandtl number fluid with negligible gravitational effects”, Acta Mechanica 71, 249-252 (1988)

156. Riahi, D. N., “Nonlinear Bernard-Marangoni convection”, Journal of the Physical Society of Japan 56, 3515-3524 (1987)

157. Riahi, D. N., “Convection in a low Prandtl number fluid with internal heating”, International Journal of Nonlinear Mechanics 21, 97-105 (1986)

158. Riahi, D. N., “Nonlinear convection in a viscoelastic fluid”, Journal of Mathematical and Physical Sciences 20 (3), 221-229 (1986)

159. Riahi, D. N., “Nonlinear convection with variable coefficient of thermal expansion”, Acta Mechanica 60, 143-155 (1986)

160. Riahi, D. N. and Hsui, A. T., “Nonlinear double diffusive convection with local heat and solute sources”, International Journal of Engineering Science 24, 529-544 (1986)

161. Riahi, D. N., “Thermocapillary instability in an infinite Prandtl number fluid with negligible gravitational effects”, Acta Mechanica 64, 155-163 (1986)

162. Riahi, D. N., “Nonlinear thermal convection with finite conducting boundaries”, Journal of Fluid Mechanics 152, 113-123 (1985)

163. Riahi, D. N., “Nonlinear convection in a horizontal layer with an internal heat source”, Journal of the Physical Society of Japan 53, 4169-4178 (1984)

164. Riahi, D. N., “Nonlinear convection in a porous medium with internal heat sources”, International Journal of Nonlinear Mechanics 19, 469-478 (1984)

165. Riahi, D. N., “Nonlinear convection in a spherical shell”, Journal of the Physical Society of Japan 53, 2506-2512 (1984)

166. Riahi, D. N., “On nonlinear overstable convection rolls in a rotating system”, Journal of the Australian Mathematical Society 25, 406-418 (1984)

167. Busse, F. H., and Riahi, D. N., “Patterns of convection in spherical shells”, Journal of Tera Cognita 40, 240 (1984)

168. Riahi, D. N., “Double diffusive convection in a rotating fluid”, Journal of the Physical Society of Japan 52, 2620-2621 (1983)

169. Riahi, D. N., “Nonlinear convection in a porous layer with finite conducting boundaries”, Journal of Fluid Mechanics 129, 153-171 (1983)

170. Riahi, D. N., “Convection in a rotating layer with nearly insulating boundaries”, Zeitschrift fur Angewandte Mathematik und Physik 33, 81-92 (1982)

171. Riahi, D. N., Busse, F. H., and Geiger, G., “Finite Prandtl number convection in spherical shells”, Geophysical and Astrophysical Fluid Dynamics 20, 307-318 (1982)

172. Busse, F. H., and Riahi, D. N., “Patterns of convection in spherical shells II”, Journal of Fluid Mechanics 123, 283-301 (1982)

173. Riahi, D. N., “Stability criteria for convection at small Prandtl numbers”, Journal of the Physical Society of Japan 51, 4104-4107 (1982)

174. Riahi, D. N., “Boundary layer solutions of single mode convection equations”, Journal of Fluid Mechanics 102, 211-219 (1981)

175. Riahi, D. N., “Finite Prandtl number convection with nearly insulating boundaries”, Bulletin of the Australian Mathematical Society 24, 339-347 (1981)

176. Riahi, D. N., “Nonlinear double-diffusive convection in a moderate Prandtl number fluid”, Australian Journal of Physics 34, 185-192 (1981)

177. Riahi, D. N., “Nonlinear hydromagnetic convection in a moderate Prandtl number fluid”, Bulletin of the Australian Mathematical Society 23, 321-338 (1981)

178. Riahi, D. N., “Nonlinear magnetic convection at small Prandtl numbers”, Australian Journal of Physics 34, 251-259 (1981)

179. Riahi, D. N., “Convection with nearly insulating boundaries in a low Prandtl number fluid”, Zeitschrift fur Angewandte Mathematik und Physik 31, 261-266 (1980)

180. Busse, F. B., and Riahi, D. N., “Nonlinear convection in a layer with nearly insulating boundaries”, Journal of Fluid Mechanics 96, 243-256 (1980)

181. Riahi, D. N., “Nonlinear double diffusive convection in a low Prandtl number fluid”, Australian Journal of Physics 33, 59-71 (1980)

182. Riahi, D. N., “On a nonlinear hydromagnetic convection under a rotational constraint”, Journal of the Australian Mathematical Society 22, 161-174 (1980)

183. Riahi, D. N., “Some predictions from the mean-field equations of magneto-convection”, Australian Journal of Physics 33, 47-58 (1980)

184. Riahi, D. N., “Some predictions using the mean field thermosolutal equations”, Journal of Fluid Mechanics 87, 737-748 (1978)

185. Riahi, D. N., “Upper bound problem for a rotating system”, Journal of Fluid Mechanics 81, 523-528 (1977)

186. Hunter, C., and Riahi, D. N., “Nonlinear convection in a rotating fluid”, Journal of Fluid Mechanics 72, 433-454 (1975)

**Refereed Papers in Books Published by Conferences & in Conf. Proceedings:**

187. Riahi, D. N., “On spatial instability of electrically forced jets (invited article)”, Recent Advances in Fluid Mechanics and Heat & Mass Transfer, 203-207 (2011)

188. Riahi, D. N., “Flow in a passive mushy layer with viscous dissipation (invited article)”, Recent Advances in Fluid Mechanics and Heat & Mass transfer, 219-223 (2011)

189. Riahi, D. N., “Electrically forced jet instabilities and applications (invited article)”, New Aspects of Fluid Mechanics, Heat Transfer & Environment, 15-16 (2010)

190. Riahi, D. N., “Modeling air flow over structured surfaces (invited article)”, Continuum Mechanics, Fluid, Heat, 241-245 (2010)

191. Riahi, D. N., “Flow structure in a horizontal dendrite layer (invited article)”, Recent Advances in Continuum Mechanics, 64-68 (2009)

192. Riahi, D. N., “Linear spatial instability of electrically forced jet flows (invited article)”, Recent Advances in Continuum Mechanics, 79-84 (2009)

193. Riahi, D. N., “Stability analyses of a system of nonlinear partial differential equations and application (invited article)”, Recent Advances in Applied Mathematics and Computational and Information Sciences, 1, 16-17 (2009)

194. Riahi, D. N., “Mathematical modeling of instability of electrically driven jet (invited article)”, Recent Advances in Applied Mathematics and Computational and Information Sciences, 1, 63-68 (2009)

195. Riahi, D. N., “On spatial electro-hydrodynamic instability of a jet (invited article)”, Recent Advances in Applied Mathematics and Computational and Information Sciences, 1, 73-77 (2009)

196. Riahi, D. N., “Secondary flow in a mushy layer (invited article)”, Recent Advances in Fluid Mechanics and Aerodynamics, 177-177 (2009)

197. Riahi, D. N., “Convection in a horizontal porous layer”, Recent Advances in Heat Transfer, Thermal Engineering and Environment, 215-218 (2009)

198. Riahi, D. N., “On flow in a mushy layer with deformable interface (invited article)”, Theoretical and Experimental Aspects of Fluid Mechanics, 207-212 (2008)

199. Riahi, D. N., “Modeling nonlinear flow during alloy solidification (invited article)”, New Aspects in Fluid Mechanics and Aerodynamics, 18-19 (2008)

200. Riahi, D. N., “Nonlinear convective flow in rotating mushy layers (invited article)”, Theoretical and Experimental Aspects of Fluid Mechanics, 16-17 (2008)

201. Riahi, D. N., “On the stability of the secondary flow in a mushy layer (invited article)”, New Aspects of Fluid Mechanics and Aerodynamics, 93-98 (2008)

202. Riahi, D. N., “On compositional convection in mushy layers with permeable interface (invited article)”, New Aspects in Fluid Mechanics and Aerodynamics, 99-104 (2008)

203. Dong, F., Riahi, D. N. and Hsui, A. T., “Stability of solitary waves in compacting media”, Proceedings of the 14th U.S. National Congress of Theoretical and Applied Mechanics, 616, Virginia, June (2002)

204. Sayre, T. L. and Riahi, D. N., “Oscillatory convection during solidification of alloys (invited paper)”, Proceedings of 32nd Society for Engineering Science Conference, 507-508, New Orleans, La, October-November (1996)

205. Riahi, D. N., “Convective flow instabilities: A review”, Proceedings of 32nd Society for Engineering Science Conference, 471-472, New Orleans, La, October-November (1996)

206. Riahi, D. N., “Nonlinear instabilities of steady and oscillatory wave convection in a rotating system (invited paper)”, Proceedings of First World Congress on Nonlinear Analysis, 1, 79-86, Tampa, Fla, August 1992 (1995)

207. Kuah, T. H. and Riahi, D. N., “Onset of instability and chaos in nonlinear and nonparallel plane wake flows”, Proceedings of IMACS 14th World Congress in Computational and Applied Mathematics, I, 275-277, Atlanta, Ga, July (1994)

208. Riahi, D. N., “On weakly nonlinear instabilities of slowly divergent shear flows (invited paper)”, Proceedings of IMACS 14th World Congress in Computational and Applied Mathematics, I, 421-423, Atlanta, Ga, July (1994)

209. Riahi, D. N., “Dispersive wave packet convection in a rotating system”, Proceedings of Pan American Congress of Applied Mechanics, 327-330, brazil, January (1993)

210. Riahi, D. N. and Vonderwell, M. P., “Wave packet development of rotating disk flow”, Proceedings of Pan American Congress of Applied Mechanics, 331-334, Brazil, January (1993)

211. Riahi, D. N., “Effects of an inclined magnetic field on the stability of the melt during solidification of a binary alloy”, Proceedings of ASME Symposium on Bifurcation and Chaos, 93-97, Anaheim, Ca, November (1992)

212. Riahi, D. N., “Preferred pattern of convection in plane fluid layers”, Proceedings of the ASME-WAM 92 Symposium on Bifurcation and Chaos, 69-72, Anaheim, Ca, November (1992)

213. Riahi, D. N., “Weakly nonlinear solutions of Sivashinsky equation, Proceedings of the 4th International Conference on Fluid Mechanics, 1-5, Egypt, April (1992)

214. Walker, J. S., Lie, k. H. and Riahi, D. N., “Melt motion in the float-zone process with a high-frequency induction coil and with a vertical magnetic field (invited paper)”, Proceedings of Euro-Mechanics Conference on Fluid Flow Phenomena in Crystal Growth, France, October (1992)

215. Riahi, D. N., “Three-dimensional thermal convection with spatially non-uniform heating (invited paper)”, Proceedings of Canadian Applied Math. Society; Wave Phenomena, 145-146, Edmonton, Canada, June (1992)

216. Mazunder, B. S. and Riahi, D. N., “Stability of a deformed solidifying interface in a fluid flow system”, Proceedings of the 22nd Mid-Western Mechanics Conference, 16, 497-498, Rolla, Mo (1991)

217. Hsui, A. T. and Riahi, D. N., “Application of convection theories to geology and geophysics (invited article)”, Proceedings of the 22nd Mid-Western Mechanics Conference, 16, 415-416, Rolla, Mo (1991)

218. Hadji, L. and Riahi, D. N., “Nonlinear pattern formation in the coupled Benard-Marangoni convection”, Proceedings of the 22nd Mid-Western Mechanics Conference, 16, 417-418, Rolla, Mo (1991)

219. Riahi, D. N., “Hydrodynamic stability of the melt during the directional solidification of a binary alloy”, Proceedings of the 22nd Mid-Western Mechanics Conference, 16, 495-499, Rolla, Mo (1991)

220. Riahi, D. N., Moser, R. D. and Waleffe, F., “Low order model for a mixing layer; studying turbulence using numerical simulation data bases”, Proceedings of 1990 Summer Research at Center for Turbulence Research, III, 205-210, Stanford university & NASA-Ames Research Center, Palo Alto, Ca, August (1990)

221. Lie, K. H., Walker, J. S. and Riahi, D. N., “Centrifugal pumping in a liquid cylinder in an axial magnetic field with application to semi-conductor crystal growth”, Proceedings of the First Congress in Fluid Dynamics, 3, 2141-2147 (1988)

222. Riahi, D. N. and Walker, J. S., “Nonlinear thermocapillary convection in a liquid cylinder”, Proceedings of the First Congress in Fluid Dynamics, 3, 1908-1913 (1988)

223. Hadji, L. and Riahi, D. N., “On nonlinear convection with solidification”, Proceedings of the First Congress in Fluid Dynamics, 3, 1914-1921 (1988)

224. Riahi, D. N., “Oscillatory double-diffusive convection rolls in a porous medium”, Proceedings of ASME/JSME, 2, 349-352, Honolulu, Hawaii (1987)

225. Riahi, D. N. and Busse, F. H., “Simple and mixed solutions for convection in spherical shells”, Proceeding of ASME 1987 Winter Meeting, 109-111, Boston, Ma (1987)

226. Riahi, D. N., “Convection in a porous layer with variable fluid and medium properties”, Proceedings of AIAA/ASME Heat Transfer and Thermophysics Conference, 56, 41-48, Boston, Ma (1987)

227. Riahi, D. N., “Effects of gravity on surface tension driven instability”, Proceedings of Southeastern Conference in Theoretical and Applied Mechanics, XIII, 81-62, Columbia, Sc (1986)

228. Riahi, D. N. and Walker, J. S., “Frequency dependence of acoustic waves in plasma MHD generators”, Proceedings of the 22nd Symposium on Engineering Aspects of MHD, 2.6.1-2.6.10, M.S.U., Ms (1984)

229. Riahi, D. N., “Nonlinear penetrative convection in a layer with nearly insulating boundaries, Proceedings of the Symposium on Fluid Dynamics (in honor of Prof. Korst), 315-526, UIUC, IL (1984)

230. Riahi, D. N. and Walker, J. S., “Models of the fundamental acoustic waves in plasma MHD generators”, Proceedings of the 21st Symposium on Engineering Aspects of MHD, 3.2.1-3.2.10, Argonne National Lab., IL (1983)

231. Riahi, D. N. and Walker, J. S., “Fluctuations in plasma MHD generators with arbitrary interaction parameter”, Proceedings of the 8th International Conference on MHD Electrical Power Generation, 1, 295-298, Moscow, USSR (1983)

232. Riahi, D. N., Busse, F. H. and Geiger, G., “Preferred patterns of convection ib spherical shells”, Proceedings of International Conference on Mathematical Problems of Thermal and dynamic State of the Earth, 100-101, Los Angeles, Ca, May (1980)

233. Riahi, D. N., “A numerical model for a system of first order ordinary differential equations”, Proceeding of the National Science Foundation Conference on Numerical Analysis, 73-79, Jackson, Ms (1977)

**More Recent Publications:**

234. Bhatta, D., Riahi, D. N. and Muddamallappa, M. S., “Inertial effect on convective flow in mushy layer”, Journal of Applied Mathematics and Informatics, **30**(3-4), 499-510 (2012)

235. Riahi, D. N., “Stability and perturbation analyses for nonlinear convection in a mushy layer and in the presence of viscous dissipation”, Mechanics Research Communications, **39**, 18-22 (2012)

236. Bhatta, D. and Riahi, D. N., “Magnetic effect on nonlinear evolution of convective flow in a passive mushy layer”, Journal of Evolution Equations, in press (2012)

237. Riahi, D. N. and Roy, R., “Unsteady blood flow in an artery with an overlapping stenosis”, International Journal of Applied Mechanics, **4**(2), 1250016 (16 pages) (2012)

238. Riahi, D. N., “On spatially growing jets driven by uniform applied field”, International Journal of Mathematical Modeling, Simulation and Applications, in press (2012)

239. Roy, R. and Riahi, D. N., “On blood flow in an artery with an unsteady overlapping stenosis”, International Journal of Fluid Mechanical Research, submitted (2012)