Prof. Daniel N. Riahi

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University of Texas-Pan American
Science and Engineering
Mathematics
ProfessorAppointed: 2006

Mailing Address

Department of Mathematics
University of Texas-Pan American
1201 W. University Dr.
Edinburg, Texas 78539-2999
United States

Contact Information

Phone: (956) 316-7063
Fax: (956) 384-5091
driahi@utpa.edu

Qualifications

Ph.D., Florida State University, Applied Mathematics, 1974.
M.S., Florida State University, Mathematics, 1970.

Expertise and Research Interests

Applied Mathematics
Applied Partial Differential Equations
Asymptotic & Perturbation Methods
Fluid Mechanics
Convection & Heat/Mass Transfer
Flow Instability & Turbulence
Hydrodynamic Stability
Solidification Process
Electrospinning Process
Nonlinear Methods
Numerical Mathematics
Stability Analysis
Wave Interactions

Other Expertise

Mathematical Modeling
Nonlinear Stability
Analytical Methods
Computational Methods
Multiple Scales Analysis
Magnetohydrodynamics
Electromagnetic Applications
Wave Motion
Fourier Analysis
Protein Crystallization
Geophysical Fluid Dynamics

Future Research

Applied PDEs
Aerodynamic Applications
Manufacturing New Technology
Materials Processing Applications
Nonlinear Properties of Complex Flows
Biomedical & Biomechanical Applications

Industrial Relevance

Materials Processing
Manufacturing Eng Technology
Aerodynamics
Space Exploration Technology
Crystal Growth
Biotechnology
Nanotechnology

Keywords

COS Keywords:

Applied Mathematics, Fluid Mechanics, Heat Transfer, Mathematics, Mechanics, Partial Differential Equations, Turbulence.

Additional Terms:

Applied Math, Applied PDEs, Asymptotics and Perturbations, Convection and Heat Transfer, Engineering Mathematics, Flow Instability and Transition, Fluid Mechanics, ODES, PDES, Turbulence.

Languages

(Reading, Writing, Speaking)

English: (Fluent, Fluent, Fluent)
French: (Basic, None, None)

Memberships

American Academy of Mechanics
American Institute of Aeronautics and Astronautics (Senior Member & Associate Fellow Candidate)
American Physical Society
American Society of Mechanical Engineers - Bioengineering Division
Sigma Xi
Society of Industrial and Applied Mathematics
The World Scientific and Engineering Academy and Society
Wessex Institute of Technology of Great Britain (Fellow)

Honors and Awards

2009, Plenary Lecture, U.S.A., The International Conference on Computational and Information Sciences & The 15th American Conference on Applied Mathematics, Houston, Texas, April 30-May 2, 2009
2008, Plenary Lecture, Mexico, Fifth International Conference on Fluid Mech., Acapulco, Mexico, January 25-27, 2008
2008, Plenary Lecture, Greece, Sixth International Conference on Fluid Mech. & Aerodynamics, Rhodes Island, Greece, August 20-22, 2008
2006, Service Appreciation Letter, UIUC-TAM, University of Illinois at U-C, Theoretical & Applied Mechanics
2006, Service Appreciation Letter, UIUC-MechSE, University of Illinois at U-C, Mechanical Science & Engineering
2006, Service Recognition Certificate, UIUC, University of Illinois at Urbana-Champaign
2005, Recognition Award, UIUC-TAM, University of Illinois at Urbana-Champaign
2005, Honorific Title Award, UIUC, University of Illinois at Urbana-Champaign
2004, Fellow , Wessex Institute of Great Britain, WIT, England, WIT, England, Applied Mathematics and Fluid Mechanics Research
2004, Included in the UIUC-List of Teachers Rank as Excellent by their Students, University of Illinois at U-C
2000-2009, Editor or Editorial Board Member of 21 Technical Journals & Book Series, Applied Mathematics and Mathematical Sciences Journals & Book Series
1997, Author of Chapters in the Book Won the Best Basic Science Book Award, International Academy of Aeronautics
1994, Research Award, UIUC-College of Engineering, University of Illinois at Urbana-Champaign, Materials Processing in High Gravity
1987, Outstanding Recognition Certificate for Teaching the Off-Campus Students by Electronic Board, UIUC Continuing Education, University of Illinois at Urbana-Champaign, Fluid Mechanics
1986, Visiting Scholar, Dept of Applied Mathematics & Theoretical Physics, University of Cambridge, Applied Mathematics & Fluid Mechanics
1975-2009, D. N. Riahi, Over 320 Research Publications mostly published in rigorously refereed Journals

Previous Positions

1995-2005, Professor, University of Illinois at Urbana-Champaign, Theoretical & Applied Mechanics
1985-1995, Associate Professor, University of Illinois at Urbana-Champaign, Theoretical & Applied Mechanics
1980-1985, Assistant Professor, University of Illinois at Urbana-Champaign, Theoretical & Applied Mechanics

Funding Received

  • UTPA-FRC: Modeling & computation in electrospinning, 2008 to 2009.
  • UTPA-FRC: Computation in hydromagnetic alloy solidification, 2007 to 2008.
  • UTPA-FRC: Computation in protein crystal growth, 2006 to 2007.
  • UIUC-RB: Rotating flow during crystallization, 2002 to 2003.
  • NCSA: Flow computation over wavy wall, 1997 to 1998.
  • UIUC-RB: Solidification in normal & high gravity, 1994 to 1996.
  • NASA-LRC: Asymptotic models for swept wing flow, 1993 to .
  • NASA-LRC: Renormalization group theory & modeling for stratified turbulence, 1993 to .
  • NCSA: Three-dimensional computation in compressible boundary layers, 1992 to 1993.
  • NCSA: Flow transition in free shear layer, 1990 to 1991.
  • McGraw-Hill Co.: Laboratory notes for fluid mechanics, 1990 to 1994.
  • NASA-LRC: Wave packets in rotating disk flows, 1989 to 1990.
  • NSF: Melt motion in float zone process, 1986 to 1989.
  • UIUC-RB: Modeling flow during liquid freezing, 1986 to 1987.
  • UIUC-RB: Shear flow instabilities, 1984 to 1985.
  • NSF: Flow in MHD electrical power generation, 1983 to .

Publications

  • D. Bhatta, M. S. Muddamallappa, D. N. Riahi (2009) On perturbation and marginal stability analysis of magneto-convection in active mushy layer, Transport in Porous Media, In Press
  • M. S. Muddamallappa, D. Bhatta, D. N. Riahi (2009) Linear stability analysis of convective flow in a mushy layer with non-uniform magnetic field and permeable mush-liquid interface, Journal of Porous Media, In Press
  • N. J. Carrasquero, D. N. Riahi (2010) On instability of electrically forced jets and application in electrospinning, International Journal of Applied Mathematics and Statistics, 16 (M10), 1-10, In Press
  • D. N. Riahi, C. W. Obare (2009) Analysis of rotating flow around a growing protein crystal, Application and Applied Mathematics: An International Journal, 4 (1), 13-25
  • M. S. Muddamallappa, D. Bhatta, D. N. Riahi (2009) Numerical investigation on marginal stability and convection with and without magnetic field in a mushy layer, Transport in Porous Media, 79, 301-317
  • N. J. Carrasquero, D. N. Riahi, D. Bhatta (2009) Numerical study of marginal stability of a rotating flow with application to flow around growing protein crystal, Journal of Mathematical Modeling, Simulation & Applications, In Press
  • D. N. Riahi (2009) Perturbation and stability analyses of flow in a mushy layer with permeable interface, Nonlinear Analysis Series B: Real World Applications, In Press
  • N. J. Carrasquero, D. N. Riahi, D. Bhatta (2009) On marginal stability computation of flow in a rotating cylindrical annulus and application to protein crystal growth, International Journal of Applied Mathematics & Statistics, 14(J09), 68-81.
  • D. N. Riahi (2009) On spatial instability of electrically forced axisymmetric jets with variable applied field, Applied Mathematical Modeling, 33, 3546-3552
  • D. N. Riahi (2009) On oscillatory modes of nonlinear compositional convection in mushy layers, Nonlinear Analysis Series B: Real World Applications, 10, 209-226
  • D. N. Riahi (2009) Convection in a horizontal porous layer (invited paper), Recent Advances in Heat Transfer, Thermal Engineering and Environment, 215-218 pages (bookchapter)
  • D. N. Riahi (2009) Secondary flow in a mushy layer (invited paper), Recent Advances in Fluid Mechanics and Aerodynamics, 174-177 pages (bookchapter)
  • D. N. Riahi (2009) On spatial electro-hydrodynamic instability of a jet (invited contribution), Recent Advances in Applied Mathematics and Computation and Information Sciences, 1, 73-77 pages (bookchapter)
  • D. N. Riahi (2009) Mathematical modeling of instability of electrically driven jet (invited paper), Recent Advances in Applied Mathematics and Computational and Information Sciences, 1, 63-68 pages (bookchapter)
  • D. N. Riahi (2009) Stability analyses of a system of nonlinear partial differential equations and application (invited paper), Recent Advances in Applied Mathematics and Computational and Information Sciences, 1, 16-17 pages (bookchapter)
  • D. N. Riahi (2009) Linear spatial instability of electrically forced jet flows (invited paper), Recent Advances in Continuum Mechanics, 79-84 pages (bookchapter)
  • D. N. Riahi (2009) On flow during crystallization (invited contribution), Hydrogeology: Principles, Trends and Energy Resource Recovery, Nova Science Publications, In Press (bookchapter)
  • D. N. Riahi (2009) Flow structure in a horizontal dendrite layer, Recent Advances in Fluid Mechanics, 64-68 pages (bookchapter)
  • B. S. Okhuysen, D. N. Riahi (2008) Flow instabilities of liquid and mushy regions during alloy solidification and under high gravity environment, 46, 189-201, International Journal of Engineering Science, 46, 189-201
  • B. S. Okhuysen, D. N. Riahi (2008) Nonlinear buoyant convection in mushy layers during alloy solidification, Journal of Porous Media, 11, 291-303
  • B. S. Okhuysen, D. N. Riahi (2008) On weakly nonlinear convection in mushy layers during solidification of alloys, Journal of Fluid Mechanics, 596, 143-167
  • D. N. Riahi (2008) On mixed oscillatory and steady modes of nonlinear convection in mushy layers, Transport in Porous Media, 72, 121-138
  • D. N. Riahi (2008) On cellular structure of convective flow in mushy layers, International Journal of Dynamics of Continuous, Discrete and Impulsive Systems, 14(S2), 195-199
  • D. N. Riahi (2008) On compositional convection in mushy layers with permeable interface (invited article), New Aspects in Fluid Mechanics & Aerodynamics, 99-104 (bookchapter)
  • D. N. Riahi (2008) On the stability of the secondary flow in a mushy layer (invited article), New Aspects in Fluid Mechanics & Aerodynamics, 93-98 (bookchapter)
  • D. N. Riahi (2008) Nonlinear convective flow in rotating mushy layers(invited article), Theoretical & Experimental Aspects of Fluid Mechanics, 16-17 (bookchapter)
  • D. N. Riahi (2008) Modeling nonlinear flow during alloy solidification (invited article), New Aspects in Fluid Mechanics & Aerodynamics, 18-19 (bookchapter)
  • D. N. Riahi (2008) On flow in a mushy layer with deformable interface (invited article), Theoretical & Experimental Aspects of Fluid Mechanics, 207-212 (bookchapter)
  • D. N. Riahi (2008) Steady & oscillatory flow in a mushy layer (invited review article), Current Topics in Crystal Growth Research, 8, 1-8 (bookchapter)
  • D. N. Riahi (2007) On mathematical modeling, nonlinear properties and stability of secondary flow in a dendrite layer, Applications & Applied Mathematics: An International Journal, 2, 122-135
  • D. N. Riahi (2007) Inertial and Coriolis effects on oscillatory flow in a horizontal dendrite layer, Transport in Porous Media, 69, 301-312
  • D. N. Riahi (2007) Inertial effects on rotating flow in a porous layer, Journal of Porous Media, 10 (4), 343-356
  • P. Bhattacharjee, D. N. Riahi (2007) Mathematical modeling of flow control using magnetic fluid & field (invited article), Functional Equations, Integral Equations & Differential Equations with Applications, Volume 10 Edition, International Journal of Applied Mathematics & Statistics, 81-97 pages (bookchapter)
  • D. N. Riahi (2007) Mathematical modeling of wind forces (invited article), Functional Equations, Integral Equations & Differential Equations with Applications, Volume 10 Edition, International Journal of Applied Mathematics & Statistics, 70-80 pages (bookchapter)
  • D. N. Riahi (2006) Nonlinear oscillatory convection in rotating mushy layers, Journal of Fluid Mechanics, 553, 389-400
  • P. Bhattacharjee, D. N. Riahi (2007) A hybrid level set/VOF method for the simulation of thermal magnetic fluids, International Journal of Numerical Methods in Engineering, In Press
  • D. N. Riahi, A. T. Hsui (2006) Effect of depth dependent thermal expansivity on high Rayleigh number thermal convection, International Journal of Mathematical Sciences, 4 (2)
  • D. N. Riahi (2006) Effect of permeability on steady flow in a dendrite layer, Journal of Porous Media, 9, 135-153
  • S. Yoo, D. N. Riahi (2006) Numerical studies of flow instabilities in a channel with a moving wavy boundary, International Journal of Applied Math Analysis & Applications, 1, 101-128
  • D. N. Riahi (2006) Modeling flows in protein crystal growth (invited chapter), Current Topics in Crystal Growth Research, 7, 71-77 pages (bookchapter)
  • D. N. Riahi (2005) Flow instabilities in a horizontal dendrite layer rotating about an inclined axis, Journal of Porous Media, 8, 327-342
  • P. Bhattacharjee, D. N. Riahi (2004) Computational studies of the effect of rotation on convection during protein crystallization, Int. Journal of Math. Sciences, 3, 447-468
  • D. N. Riahi (2004) On nonlinear convection in mushy layers. Part 2. Mixed oscillatory & stationary modes of convection, Journal of Fluid Mechanics, 517, 71-102
  • F. Dong, D. N. Riahi, A. T. Hsui (2004) On similarity waves in compacting media (invited article), Horizons in World Physics, New York, Nova Science Publishers, Inc., 45-82 pages (bookchapter)
  • D. N. Riahi (2003) On stationary and oscillatory modes of flow instability in a rotating porous layer during alloy solidification, Journal of Porous Media, 6, 177-187
  • P. Bhattacharjee, D. N. Riahi (2003) Effect of rotation on surface tension driven flow during protein crystallization, Microgravity Science and Technology, 14, 36-44
  • D. N. Riahi (2003) Nonlinear steady convection in rotating mushy layers, Journal of Fluid Mechanics, 485, 279-306
  • D. N. Riahi (2003) On fluid dynamics during crystallization, Recent Research Developments in Fluid Dynamics, 4, 87-94 pages (bookchapter)
  • D. N. Riahi (2003) On flow of binary alloys during crystal growth (invited review chapter), recent Development in Crystal Growth Research, Volume 3 Edition, 49-59 pages (bookchapter)
  • D. N. Riahi (2002) Wave and vortex generation and interaction in turbulent hannel flow between wavy boundaries, Far East Journal of Applied Mathematics, 9, 59-79
  • F. Dong, A. T. Hsui, D. N. Riahi (2002) A stability analysis and some numerical computations for thermal convection with a variable buoyancy factor, Journal of Theoretical and Applied Mechanics, 32 (2), 19-46
  • D. N. Riahi (2002) On the stability of shear flows with combined temporal and spatial imperfections, Nonlinear Analysis Series B: Real World Applications, 3, 611-628
  • D. N. Riahi (2002) On a turbulent boundary layer flow over a moving wavy wall, Far East Journal of Applied Mathematics, 6, 1-15
  • D. N. Riahi (2002) On nonlinear convection in mushy layers. Part 1. Oscillatory modes of convection, Journal of Fluid Mechanics, 467, 331-359
  • D. N. Riahi (2002) Effect of rotation on convection in a porous layer during alloy solidification (invited review chapter), Transport Phenomena in Porous Media, Oxford, Elsevier Science, 316-340 pages (bookchapter)
  • D. N. Riahi, A. T. hsui (2001) Finite amplitude thermal convection with variable gravity, International Journal of Mathematics and Mathematical Sciences, 25 (3), 153-165
  • D. N. Riahi (2001) Effects of surface corrugation on primary instability modes in wall-bounded shear flows, Nonlinear Analysis Series B: Real World Applications, 2, 105-133
  • A. T. Hsui, D. N. Riahi (2001) Onset of thermal-chemical convection with crystallization within a binary fluid and its geological implications, Geochemistry, Geophysics, Geosystems, 2, 1-30
  • D. N. Riahi (2001) Effects of centrifugal and Coriolis forces on a hydromagnetic chimney convection in a mushy layer, Journal of Crystal Growth, 226, 393-405
  • D. N. Riahi (2001) Boundary mode-vortex generation in turbulent channel flow over a non-wavy rough wall, Proceedings of the Royal Society of London (Series A), 457, 2643-2666
  • D. N. Riahi (2001) Flow Instability, Computational Mechanics Publications
  • D. N. Riahi (2001) Nonaxisymmetric chimney convection in a mushy layer under a high-gravity environment, Processing by Centrifugation, Plenum Publishing Corporation, 295-302 pages (bookchapter)
  • D. N. Riahi (2001) Magnetohydrodynamic effects in high gravity convection during alloy solidification (invited contribution), Processing by Centrifugation, Plenum Publishing Corporation, 317-324 pages (bookchapter)
  • D. N. Riahi (2000) On the effects of boundary corrugations on convective flow, Journal of Theoretical and Applied Mechanics, 29, 22-36
  • D. N. Riahi (2000) Effects of a vertical magnetic field on chimney convection in a mushy layer, Journal of Crystal Growth, 216, 501-511
  • L. Debnath, D. N. Riahi (2000) Nonlinear Instability, Chaos & Turbulence, Vol. II, Computational Mechanics Publications
  • D. N. Riahi (2000) Nonlinear thermal instability in spherical shells, Nonlinear Instability, Chaos and Turbulence, Volume II Edition, Computational Mechanics Publications, 377-402 pages (bookchapter)
  • D. N. Riahi (2000) High Rayleigh number convection in a rotating melt during alloy solidification, Recent Development in Crystal Growth Research, 2, 211-222 pages (bookchapter)
  • D. N. Riahi (2000) Buoyancy driven flow in a rotating low Prandtl number melt during alloy solidification, Current Topics in Crystal Growth Research, 5, 151-161 pages (bookchapter)
  • D. N. Riahi (1999) Effect of rotation on a non-axisymmetric chimney convection during alloy solidification, Journal of Crystal Growth, 204, 382-394
  • D. N. Riahi (1999) 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
  • D. N. Riahi (1999) Review of lectures on geophysical fluid dynamics by Rick Solmon(Oxford University Press), Journal of Geoscience Education, 47, 297-298
  • D. N. Riahi (1999) Vortex formation and stability analysis for shear flows over combined spatially and temporally structured walls, Mathematical Problems in Engineering, 5, 317-328
  • D. N. Riahi (1999) Boundary wave-vortex interactions in channel flow with a wavy wall at high Reynolds numbers, Fluid Dynamics Research, 25, 129-145
  • D. N. Riahi (1999) boundary layer theory of magnetohydrodynamic turbulent convection (invited contribution), Proceedings of Indian National Science Academy (Physical Science), 109-116 pages (bookchapter)
  • D. N. Riahi (1998) Analysis and modeling for a turbulent convective plume, Mathematical & Computer Modelling, 28, 57-63
  • D. N. Riahi (1998) Finite banfwidth, long wavelength convection with boundary imperfections: Near-resonant wavelength excitation, International Journal of Math & Mathematical Sciences, 21, 171-182
  • D. N. Riahi (1998) Nonlinear instabilities of shear flows over rough walls, Far East journal of Applied mathematics, 2, 211-228
  • D. N. Riahi (1998) On the structure of an unsteady mushy layer, Acta Mechanica, 127, 83-96
  • D. N. Riahi (1998) Renormalization group analysis for turbulence of a chemically decay or reactive mixture, Journal of Mathematical & Physical Sciences, 30, 181-186
  • D. N. Riahi (1998) Direct resonance analysis and modeling for a turbulent boundary layer over a corrugated surface, Acta Mechanica, 131, 225-233
  • M. P. Vonderwell, D. N. Riahi (1998) Resonant instability mode triads in the compressible boundary-layer flow over a swept wing, Int. Journal of Engineering Science, 36, 599-624
  • L. Debnath, D. N. Riahi (1998) Nonlinear Instability, Chaos & Turbulence, Vol. I, Computational Mechanics Publications
  • D. N. Riahi (1998) High gravity convection in a mushy layer during alloy solidification, Nonlineat Instability, Chaos & Turbulence, Volume I, Computational Mechanics Publications, 301-336 pages (bookchapter)
  • D. N. Riahi (1997) Effects of centrifugal and Coriolis forces on chimney convection during alloy solidification, Journal of Crystal Growth, 179, 287-298
  • T. L. Sayre, D. N. Riahi (1997) Oscillatory instabilities of the liquid and mushy regions during solidification of alloys under rotational constraint, Acta Mechanica, 121, 143-152
  • D. N. Riahi (1997) Renormalization group analysis for thermal turbulence, International Journal of Mathematics & Mathematical Sciences, 20, 305-310
  • D. N. Riahi (1997) Effects of roughness on nonlinear stationary vortices in rotating disk flows, Mathematical and Computer Modelling, 25, 71-82
  • D. N. Riahi (1997) weakly nonlinear instability of non-parallel shear flows, International journal of nonlinear Mechanics, 32, 277-283
  • D. N. Riahi (1997) Effects of high gravity on freckles formation and convection in a mushy layer (invited chapter), Centrifugal Materials Processing, Plenum Publishing Corporation, 169-176 pages (bookchapter)
  • D. N. Riahi (1997) Chimney formation and flow instabilities in a mushy layer with deformed boundaries (invited chapter), Centrifugal Materials Processing, Plenum Publishing Corporation, 163-168 pages (bookchapter)
  • D. N. Riahi (1997) Weakly and strongly nonlinear stability analysis for convective systems, Nonlinear Stability Analysis, Computational Mechanics Publications, 186-219 pages (bookchapter)
  • T. L. Sayre, D. N. Riahi (1996) Effect of rotation on flow instabilities during solidification of a binary alloy, International Journal of Engineering Science, 34, 1631-1645
  • D. N. Riahi, T. L. Sayre (1996) Effect of rotation on the structure of a convecting mushy layer, Acta Mechanica, 118, 109-120
  • D. N. Riahi (1996) Instability in turbulent shear flows with or without rotation, Mathematical & Computer Modelling, 24, 59-67
  • D. N. Riahi (1996) Modal package convection in a horizontal porous layer with boundary imperfections, Journal of Fluid Mechanics, 318, 107-128
  • D. N. Riahi (1996) Mathematical Modeling & Simulation in Hydrodynamic Stability, World Scientific Publishing Company
  • D. N. Riahi (1996) Nonlinear stability analysis and modeling for convective flows, Mathematical Modeling & Simulation in Hydrodynamic Stability, World Scientific Publishing Company, 117-148 pages (bookchapter)
  • D. N. Riahi (1996) Modeling and simulation for primary instabilities in shear flows, Mathematical Modeling and Simulation in Hydrodynamic Stability, World Scientific Publishing Company, 149-171 pages (bookchapter)
  • D. N. Riahi (1995) Note on refraction of wave packets, Journal of Math. & Physical Sciences, 28, 181-187
  • D. N. Riahi (1995) Application of renormalization group theory in thermally stratified turbulent flows, Journal de Physique II, 5, 745-752
  • D. N. Riahi (1995) Finite amplitude thermal convection with spatially modulated boundary temperatures, Proceedings of the Royal Society of London (Series A), 449, 459-478
  • T. L. Sayre, D. N. Riahi (1995) Flow instabilities during solidification in high gravity, Developments in Mechanics, 169-171 pages (bookchapter)
  • D. N. Riahi (1995) Patterns of convection in horizontal layers (invited chapter), Current Topics in the Physics of Fluids, Volume I, 187-195 pages (bookchapter)
  • D. N. Riahi, T. L. Sayre (1995) High gravity convection in a mushy layer, Developments in Mechanics, 172-174 pages (bookchapter)
  • D. N. Riahi (1995) Patterns of convection in spherical shells, Current Topics in the Physics of Fluids, Volume I, 197-205 pages (bookchapter)
  • D. N. Riahi (1995) Modeling & analysis for buoyancy driven turbulent flows, Developments in Mechanics, 166-168 pages (bookchapter)
  • D. N. Riahi (1995) Thermocapillary convection in a liquid cylinder at moderate or large Prandtl number, Applied Mechanics in America, Volume 3, 129-134 pages (bookchapter)
  • D. N. Riahi (1994) Nonlinear Benard-Marangoni convection in a rotating layer, International Journal of Engineering Science Incorporating Letters in Applied & Engineering Sciences, 32, 877-882
  • D. N. Riahi (1994) The effect of Coriolis force on nonlinear convection in a porous medium, International Journal of mathematics & Mathematical Sciences, 17, 515-536
  • D. N. Riahi (1994) Wave pattern of convection in spherical shells with applications to mantle convection, Development in Theoretical & Applied Mechanics, volume 17, 469-473 pages (bookchapter)
  • L. Hadji, D. N. Riahi (1994) Axisymmetric convective patterns in thin spherical shells, Development in Theoretical & Applied Mechanics, Volume 17, 444-449 pages (bookchapter)
  • D. N. Riahi (1994) Renormalization group theory and modeling in a stratified turbulence, Transition, Turbulence & Combustion, Volume 2, Dordrecht, Netherlands, Kluwer Academic, 133-136 pages (bookchapter)
  • D. N. Riahi (1994) Effects of Coriolis and centrifugal forces on the melt during directional solidification of a binary alloy (invited article), Material Processing in High Gravity, Plenum Publishing Corporation, 133-137 pages (bookchapter)
  • T. H. Kuah, D. N. Riahi (1994) Computational investigation of primary flow instability and its control in plane wakes, Development in Theoretical & Applied Mechanics, Volume 17, 557-570 pages (bookchapter)
  • D. N. Riahi, M. P. Vonderwell (1994) An asymptotic investigation of modes of instability of the compressible boundary layer over a swept wing, Transition, Turbulence & Combustion, Volume 1, Dordrecht, Netherlands, Kluwer Academic, 235-243 pages (bookchapter)
  • D. N. Riahi (1993) Effect of rotation on the stability of the melt during the solidification of a binary alloy, Acta Mechanica, 99, 95-101
  • D. N. Riahi (1993) 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
  • M. P. Vonderwell, D. N. Riahi (1993) Weakly nonlinear development of rotating disk flow, International Journal of Engineering Science, 31, 549-558
  • D. N. Riahi (1993) Preferred pattern of convection in a porous layer with a spatially non-uniform boundary temperature, Journal of Fluid Mechanics, 246, 529-543
  • D. N. Riahi (1993) Laboratory Notes in Fluid Mechanics, Second Edition, McGraw-Hill Book Company
  • D. N. Riahi (1993) Zero gravity thermocapillary instability of a horizontal fluid layer with deformed free surface, Fluid Mechanics Phenomena in Microgravity, volume II, 19-22 pages (bookchapter)
  • D. N. Riahi (1992) Directional solidification of a binary alloy with deformed melt-crystal interface and hydromagnetic effects, International Journal of Engineering Science, 30, 551-559
  • D. N. Riahi (1992) Weakly nonlinear oscillatory convection in a rotating fluid, Proceedings of the Royal Society of London (Series A), 436, 33-54
  • D. N. Riahi (1992) Laboratory Notes in Fluid Mechanics, First Edition, McGraw-Hill Book Company
  • D. N. Riahi (1992) Effects of buoyancy and rotation on the cellular growth near absolute stability, Developments in Theoretical & Applied Mechanics, volume 16, 17-20 pages (bookchapter)
  • D. N. Riahi (1992) Nonlinear dispersive waves in convective flows (invited chapter), Nonlinear Dispersive Waves: the Mathematical Theory with Applications to fluids & Plasmas, World Scientific Publishing Company, 417-423 pages (bookchapter)
  • D. N. Riahi (1991) Directional solidification in a rotating system with small segregation coefficient, Physical Review B, 44, 4170-4173
  • K. H. Lie, J. S. Walker, D. N. Riahi (1991) Melt motion in the float zone process with an axial magnetic field, Journal of Crystal Growth, 109, 167-173
  • D. N. Riahi (1991) On the stability of a cellular flow under a solidifying surface, Physics of Fluids, 3, 2816-2818
  • K. H. Lie, J. S. Walker, D. N. Riahi (1990) 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
  • L. Hadji, M. Schell, D. N. Riahi (1990) Interfacial pattern formation in the presence of convective currents, Physical Review A, 2, 863-873
  • D. N. Riahi (1990) Nonlinear convection in a rotating layer with finite conducting boundaries, Physics of Fluids, 2, 353-358
  • D. N. Riahi, R. D. Moser (1990) Low order model for a mixing layer; studying turbulence using numerical simulation data bases, Summer Research at Center for Turbulence Research, volume III, 205-210 pages (bookchapter)
  • D. N. Riahi (1990) Modulational stability of rotating-disk flow, Instability and Transition, volume 2, New York, Springer-Verlag, 160-170 pages (bookchapter)
  • K. H. Lie, D. N. Riahi, J. S. Walker (1989) 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
  • D. N. Riahi (1989) Hexagon pattern convection for Benard-Marangoni problem, International Journal of Engineering Science, 27, 689-700
  • D. N. Riahi (1989) Nonlinear convection in a porous layer with permeable boundaries, International Journal of Nonlinear Mechanics, 24, 259-464
  • D. N. Riahi, J. S. Walker (1989) Float zone shape and stability with the electromagnetic body force due to a radio-frequency induction coil, Journal of Crystal Growth, 94, 635-642
  • K. H. Lie, J. S. Walker, D. N. Riahi (1988) Centrifugal pumping in the float-zone growth of silicon crystal with an axial magnetic field, Journal of Physico-Chemical Hydrodynamics, 10, 441-460
  • D. N. Riahi (1988) Nonlinear convection with variable properties and internal heating, Journal of Mathematical and Physical Sciences, 22, 161-180
  • K. H. Lie, D. N. Riahi (1988) Numerical solution of the Orr-Sommerfeld equations for mixing layers, International Journal of Engineering Science, 26, 163-174
  • D. N. Riahi, F. H. Busse (1988) Pattern generation by convection in spherical shells, ZAMP, 39, 699-712
  • D. N. Riahi (1988) Solutal convection in the melt during solidification of a binary alloy, Physics of Fluids, 31, 27-32
  • D. N. Riahi (1988) Thermocapillary instability of a low Prandtl number fluid with negligible gravitational effects, Acta Mechanica, 71, 249-252
  • F. H. Busse, D. N. Riahi (1988) Patterns of convection in spherical shells, III: Mixed modes (invited article), Nonlinearity, 1, 379-388
  • L. Hadji, D. N. Riahi (1988) On nonlinear convection with solidification, First Congress in Fluid Dynamics, 1914-1921 pages (bookchapter)
  • D. N. Riahi, J. S. Walker (1988) Nonlinear thermocapillary convection in a liquid cylinder, First Congress in Fluid Dynamics, volume 3, 1908-1913 pages (bookchapter)
  • K. H. Lie, J. S. Walker, D. N. Riahi (1988) Centrifugal pumping in a liquid cylinder in an axial magnetic field with application to semi-conductor crystal growth, First Congress in Fluid Dynamics, volume 3, 2141-2147 pages (bookchapter)
  • D. N. Riahi (1987) Nonlinear Benard-Marangoni convection, Journal of the Physical Society of Japan, 56, 3515-3524
  • D. N. Riahi (1986) Convection in a low Prandtl number fluid with internal heating, International Journal of Nonlinear Mechanics, 21, 97-105
  • D. N. Riahi (1986) Nonlinear convection in a viscoelastic fluid, Journal of Mathematical & Physical Sciences, 20 (3), 221-229
  • D. N. Riahi (1986) Nonlinear convection with variable coefficient of thermal expansion, Acta Mechanica, 60, 143-155
  • D. N. Riahi, A. T. Hsui (1986) Nonlinear double-diffusive convection with local heat and solute sources, International Journal of Engineering Science, 24, 529-544
  • D. N. Riahi (1986) Thermocapillary instability in an infinite Prandtl number fluid with negligible gravitational effects, Acta Mechanica, 64, 155-163
  • D. N. Riahi (1986) Convection with variable fluid properties, Mathematics Applied to Fluid Mechanics and Stability, SIAM Publications, 257-262 pages (bookchapter)
  • D. N. Riahi (1985) Nonlinear thermal convection with finite conducting boundaries, Journal of Fluid Mechanics, 152, 113-123
  • D. N. Riahi (1984) Nonlinear convection in a horizontal layer with an internal heat source, Journal of the Physical Society of Japan, 53, 4169-4178
  • D. N. Riahi (1984) Nonlinear convection in a porous medium with internal heat sources, International Journal of Nonlinear Mechanics, 19, 469-478
  • D. N. Riahi (1984) Nonlinear convection in a spherical shell, Journal of the Physical Society of Japan, 53, 2506-2512
  • D. N. Riahi (1984) On nonlinear overstable convection rolls in a rotating system, Journal of the Australian Mathematical Society, 25, 406-418
  • F. H. Busse, D. N. Riahi (1984) Patterns of convection in spherical shells, Journal of Tera Cognita, 40, 240
  • D. N. Riahi (1983) Double-diffusive convection in a rotating fluid, Journal of the Physical Society of Japan, 52, 2620-2621
  • D. N. Riahi (1983) Nonlinear convection in a porous layer with finite conducting boundaries, Journal of Fluid Mechanics, 129, 153-171
  • D. N. Riahi (1982) Convection in a rotating layer with nearly insulating boundaries, ZAMP, 33, 81-92
  • D. N. Riahi, F. H. Busse, G. Geiger (1982) Finite Prandtl number convection in spherical shells, Geophysical and Astrophysical Fluid Dynamics, 20, 307-318
  • D. N. Riahi (1982) Stability criteria for convection at small Prandtl numbers, Journal of the Physical Society of Japan, 51, 4104-4107
  • F. H. Busse, D. N. Riahi (1982) Patterns of convection in spherical shells II, Journal of Fluid Mechanics, 123, 283-301
  • D. N. Riahi (1982) Stability region of cellular convection with nearly insulating boundaries, Developments in Theoretical & Applied Mechanics, volume 11, 357-367 pages (bookchapter)
  • D. N. Riahi (1981) Finite Prandtl number convection with nearly insulating boundaries, Bulletin of the Australian Mathematical Society, 24, 339-347
  • D. N. Riahi (1981) Nonlinear double-diffusive convection in a moderate Prandtl number fluid, Australian Journal of Physics, 34, 185-192
  • D. N. Riahi (1981) Nonlinear hydromagnetic convection in a moderate Prandtl number fluid, Bulletin of the Australian Mathematical Society, 23, 321-338
  • D. N. Riahi (1981) Nonlinear magnetic convection at small Prandtl numbers, Australian Journal of Physics, 34, 251-259
  • D. N. Riahi (1981) Boundary layer solutions of single mode convection equations, Journal of Fluid Mechanics, 102, 211-219
  • D. N. Riahi (1980) Convection with nearly insulating boundaries in a low Prandtl number fluid, ZAMP, 31, 261-266
  • D. N. Riahi (1980) Nonlinear double-diffusive convection in a low Prandtl numer fluid, Australian Journal of Physics, 33, 59-71
  • D. N. Riahi (1980) On a nonlinear hydromagnetic convection under a rotational constraint, Journal of Australian Mathematical Society, 22, 161-174
  • D. N. Riahi (1980) Some predictions from the mean-field equations of magneto-convection, Australian Journal of Physics, 33, 47-58
  • F. H. Busse, D. N. Riahi (1980) Nonlinear convection in a layer with nearly insulating boundaries, Journal of Fluid Mechanics, 96, 243-256
  • D. N. Riahi (1978) Some predictions using the mean field thermosolutal equations, Journal of Fluid Mechanics, 87, 737-748
  • D. N. Riahi (1977) Upper bound problem for a rotating system, Journal of Fluid Mechanics, 81, 523-528
  • C. Hunter, D. N. Riahi (1975) Nonlinear convection in a rotating fluid, Journal of Fluid Mechanics, 72, 433-454

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Last Updated: 10/26/2009

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