Edit Profile (opens in new tab) Riley, David S. Co-Author Distance Author ID: riley.david-s Published as: Riley, D. S.; Riley, David S.; Riley, David more...less External Links: MGP Documents Indexed: 52 Publications since 1965 Co-Authors: 36 Co-Authors with 50 Joint Publications 1,006 Co-Co-Authors all top 5 Co-Authors 1 single-authored 11 King, John Robert 6 Rees, D. Andrew S. 5 Drake, David G. 5 Impey, M. D. 5 Winters, Keith H. 4 Davis, Stephen Howard 4 Wheeler, Adam A. 3 McCue, Scott William 3 Noakes, Caroline J. 3 Power, Henry 3 Skeldon, Anne C. 2 Band, Leah R. 2 Cliffe, K. Andrew 2 Oliver, James M. 2 Sansom, Ahmos 2 Tveitereid, Morten 2 Villegas Díaz, Miguel 2 Wallman, A. M. 2 Waters, Sarah Louise 1 Andrews, Jeffrey G. 1 Azpeitia, Alfonso Gil 1 Bashforth, P. S. 1 Bennett, Morris M. 1 Braunsfurth, M. G. 1 Brown, Robert R. 1 Evans, David V. 1 Jensen, Oliver E. 1 Juel, Anne 1 Matthews, Paul Charles 1 McFadden, Geoffrey Bey 1 Mullin, Tom 1 Pedley, Timothy J. 1 Poots, Graham 1 Shipp, D. J. 1 Smith, Frank T. 1 Ward, T. J. W. 1 Wild, Rosemary 1 Wynne, M. C. all top 5 Serials 10 Journal of Fluid Mechanics 9 Quarterly Journal of Mechanics and Applied Mathematics 4 International Journal of Heat and Mass Transfer 3 Journal of Engineering Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Physics of Fluids, A 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 1 Applied Scientific Research 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Mathematics of Computation 1 Fluid Dynamics Research 1 Physica D 1 Physics of Fluids 1 Computer Assisted Mechanics and Engineering Sciences all top 5 Fields 44 Fluid mechanics (76-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 243 times in 154 Documents Cited by ▼ Year ▼ Modal exchange mechanisms in Lapwood convection. Zbl 0672.76086 Riley, D. S.; Winters, K. H. 23 1989 Analytical and numerical studies of the stability of thin-film rimming flow subject to surface shear. Zbl 1082.76047 Villegas-Díaz, M.; Power, H.; Riley, D. S. 15 2005 Extinction behaviour for two-dimensional inward-solidification problems. Zbl 1041.35092 McCue, Scott W.; King, John R.; Riley, David S. 13 2003 The effect of sidewall imperfections on pattern formation in Lapwood convection. Zbl 0734.76067 Impey, M. D.; Riley, D. S.; Winters, K. H. 12 1990 The extinction problem for three-dimensional inward solidification. Zbl 1092.80007 McCue, Scott W.; King, John R.; Riley, David S. 10 2005 On the development of rational approximations incorporating inertial effects in coating and rimming flows: a multiple-scales approach. Zbl 1090.76008 Noakes, C. J.; King, J. R.; Riley, D. S. 10 2006 A numerical bifurcation study of natural convection in a tilted two- dimensional porous cavity. Zbl 0698.76094 Riley, D. S.; Winters, K. H. 10 1990 Free convection in liquid gallium. Zbl 0900.76602 Braunsfurth, M. G.; Skeldon, A. C.; Juel, A.; Mullin, T.; Riley, D. S. 10 1997 Viscous flow in collapsible tubes of slowly varying elliptical cross- section. Zbl 0361.76120 Wild, Rosemary; Pedley, T. J.; Riley, D. S. 9 1977 The three-dimensional stability of finite-amplitude convection in layered porous medium heated from below. Zbl 0686.76031 Rees, D. A. S.; Riley, D. S. 8 1990 Time-periodic convection in porous media: The evolution of Hopf bifurcations with aspect ratio. Zbl 0717.76110 Riley, D. S.; Winters, K. H. 8 1991 Free convection above a near horizontal semi-infinite heated surface embedded in a saturated porous medium. Zbl 0558.76087 Rees, D. A. S.; Riley, D. S. 7 1985 Two-dimensional solidification in a corner. Zbl 0937.65096 King, J. R.; Riley, D. S.; Wallman, A. M. 7 1999 Stability properties of Adams-Moulton type methods. Zbl 0127.08301 Brown, R. R.; Riley, D.; Bennett, M. M. 7 1965 On the stability of an axisymmetric plume in a uniform stream. Zbl 0577.76044 Riley, D. S.; Tveitereid, M. 7 1984 Bifurcation analysis of solutal convection during directional solidification. Zbl 0735.76073 Impey, M. D.; Riley, D. S.; Wheeler, A. A.; Winters, K. H. 7 1991 On the stability of rimming flows to two-dimensional disturbances. Zbl 1032.76550 Villegas-Díaz, M.; Power, H.; Riley, D. S. 6 2003 Extinction behaviour of contracting bubbles in porous media. Zbl 1033.76058 McCue, S. W.; King, J. R.; Riley, D. S. 6 2003 Long-wave morphological instabilities in the directional solidification of a dilute binary mixture. Zbl 0707.76088 Riley, D. S.; Davis, S. H. 6 1990 The effects of boundary imperfections on convection in a saturated porous layer: Non-resonant wavelength excitation. Zbl 0674.76082 Rees, D. A. S.; Riley, D. S. 5 1989 On three-dimensional stability of a uniform, rigidly rotating film on a rotating cylinder. Zbl 1072.76028 Noakes, C. J.; King, J. R.; Riley, D. S. 5 2005 Free convection in a undulating saturated porous layer: resonant wavelength excitation. Zbl 0597.76089 Rees, D. A. S.; Riley, D. S. 5 1986 Asymptotic and numerical solution for the two-dimensional solidification of a liquid half-space. Zbl 0885.35150 Wallman, A. M.; King, J. R.; Riley, D. S. 5 1997 The effects of boundary imperfections on convection in a saturated porous layer: Near-resonant wavelength excitation. Zbl 0661.76098 Rees, D. A. S.; Riley, D. S. 4 1989 Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary. Zbl 0973.35202 King, J. R.; Riley, D. S. 4 2000 Bifurcation analysis of cellular interfaces in undirectional solidification of a dilute binary mixture. Zbl 0779.35013 Impey, M. D.; Riley, D. S.; Wheeler, A. A. 4 1993 Mixed convection in an axisymmetric buoyant plume. Zbl 0528.76087 Riley, D. S.; Drake, D. G. 3 1983 Gravity currents with temperature-dependent viscosity. Zbl 0960.76024 King, John R.; Riley, David S.; Sansom, Ahmos 3 2000 Annular thin-film flows driven by azimuthal variations in interfacial tension. Zbl 1197.76018 Band, L. R.; Riley, D. S.; Matthews, P. C.; Oliver, J. M.; Waters, S. L. 3 2009 Degenerate-diffusion models for the spreading of thin non-isothermal gravity currents. Zbl 1046.76004 Sansom, Ahmos; King, John R.; Riley, David S. 3 2004 Heat transfer from an isothermal flat plate with an unheated starting length. Zbl 0291.76034 Drake, David G.; Riley, David S. 3 1974 Non-Darcy natural convection from arbitrarily inclined heated surfaces in saturated porous media. Zbl 0586.76153 Riley, D. S.; Rees, D. A. S. 3 1985 Long-wave interactions in morphological and convective instabilities. Zbl 0714.76048 Riley, D. S.; Davis, S. H. 3 1990 The effect of mass transfer on steady two-dimensional rimming flow. Zbl 1254.76065 Noakes, Caroline J.; King, John R.; Riley, David S. 3 2011 Hydrodynamic stability of the melt during the solidification of a binary alloy with small segregation coefficient. Zbl 0679.76053 Riley, D. S.; Davis, S. H. 2 1989 On long-wave morphological instabilities in directional solidification. Zbl 0855.76030 Skeldon, A. C.; McFadden, G. B.; Impey, M. D.; Riley, D. S.; Cliffe, K. A.; Wheeler, A. A.; Davis, S. H. 2 1995 Nonparallel-flow stability of an axisymmetric buoyant plume in a coflowing uniform stream. Zbl 0825.76224 Tveitereid, M.; Riley, D. S. 2 1992 Substrate degradation in high-Rayleigh-number reactive convection. Zbl 1331.76112 Ward, T. J.; Jensen, O. E.; Power, H.; Riley, D. S. 2 2015 Steady symmetric low-Reynolds-number flow past a film-coated cylinder. Zbl 1322.76009 Band, L. R.; Oliver, J. M.; Waters, S. L.; Riley, D. S. 2 2013 Second-order effects in a laminar axisymmetric plume; subjected to an external coflowing uniform stream. Zbl 0637.76086 Riley, D. S. 1 1988 On the heat transfer from a wedge with non-isothermal surfaces. Zbl 0312.76053 Drake, David G.; Riley, David S. 1 1975 Grid design for the computation of a hexagon-roll interaction using a finite element method. Zbl 0879.60113 Skeldon, A. C.; Cliffe, K. A.; Riley, D. S. 1 1997 Substrate degradation in high-Rayleigh-number reactive convection. Zbl 1331.76112 Ward, T. J.; Jensen, O. E.; Power, H.; Riley, D. S. 2 2015 Steady symmetric low-Reynolds-number flow past a film-coated cylinder. Zbl 1322.76009 Band, L. R.; Oliver, J. M.; Waters, S. L.; Riley, D. S. 2 2013 The effect of mass transfer on steady two-dimensional rimming flow. Zbl 1254.76065 Noakes, Caroline J.; King, John R.; Riley, David S. 3 2011 Annular thin-film flows driven by azimuthal variations in interfacial tension. Zbl 1197.76018 Band, L. R.; Riley, D. S.; Matthews, P. C.; Oliver, J. M.; Waters, S. L. 3 2009 On the development of rational approximations incorporating inertial effects in coating and rimming flows: a multiple-scales approach. Zbl 1090.76008 Noakes, C. J.; King, J. R.; Riley, D. S. 10 2006 Analytical and numerical studies of the stability of thin-film rimming flow subject to surface shear. Zbl 1082.76047 Villegas-Díaz, M.; Power, H.; Riley, D. S. 15 2005 The extinction problem for three-dimensional inward solidification. Zbl 1092.80007 McCue, Scott W.; King, John R.; Riley, David S. 10 2005 On three-dimensional stability of a uniform, rigidly rotating film on a rotating cylinder. Zbl 1072.76028 Noakes, C. J.; King, J. R.; Riley, D. S. 5 2005 Degenerate-diffusion models for the spreading of thin non-isothermal gravity currents. Zbl 1046.76004 Sansom, Ahmos; King, John R.; Riley, David S. 3 2004 Extinction behaviour for two-dimensional inward-solidification problems. Zbl 1041.35092 McCue, Scott W.; King, John R.; Riley, David S. 13 2003 On the stability of rimming flows to two-dimensional disturbances. Zbl 1032.76550 Villegas-Díaz, M.; Power, H.; Riley, D. S. 6 2003 Extinction behaviour of contracting bubbles in porous media. Zbl 1033.76058 McCue, S. W.; King, J. R.; Riley, D. S. 6 2003 Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary. Zbl 0973.35202 King, J. R.; Riley, D. S. 4 2000 Gravity currents with temperature-dependent viscosity. Zbl 0960.76024 King, John R.; Riley, David S.; Sansom, Ahmos 3 2000 Two-dimensional solidification in a corner. Zbl 0937.65096 King, J. R.; Riley, D. S.; Wallman, A. M. 7 1999 Free convection in liquid gallium. Zbl 0900.76602 Braunsfurth, M. G.; Skeldon, A. C.; Juel, A.; Mullin, T.; Riley, D. S. 10 1997 Asymptotic and numerical solution for the two-dimensional solidification of a liquid half-space. Zbl 0885.35150 Wallman, A. M.; King, J. R.; Riley, D. S. 5 1997 Grid design for the computation of a hexagon-roll interaction using a finite element method. Zbl 0879.60113 Skeldon, A. C.; Cliffe, K. A.; Riley, D. S. 1 1997 On long-wave morphological instabilities in directional solidification. Zbl 0855.76030 Skeldon, A. C.; McFadden, G. B.; Impey, M. D.; Riley, D. S.; Cliffe, K. A.; Wheeler, A. A.; Davis, S. H. 2 1995 Bifurcation analysis of cellular interfaces in undirectional solidification of a dilute binary mixture. Zbl 0779.35013 Impey, M. D.; Riley, D. S.; Wheeler, A. A. 4 1993 Nonparallel-flow stability of an axisymmetric buoyant plume in a coflowing uniform stream. Zbl 0825.76224 Tveitereid, M.; Riley, D. S. 2 1992 Time-periodic convection in porous media: The evolution of Hopf bifurcations with aspect ratio. Zbl 0717.76110 Riley, D. S.; Winters, K. H. 8 1991 Bifurcation analysis of solutal convection during directional solidification. Zbl 0735.76073 Impey, M. D.; Riley, D. S.; Wheeler, A. A.; Winters, K. H. 7 1991 The effect of sidewall imperfections on pattern formation in Lapwood convection. Zbl 0734.76067 Impey, M. D.; Riley, D. S.; Winters, K. H. 12 1990 A numerical bifurcation study of natural convection in a tilted two- dimensional porous cavity. Zbl 0698.76094 Riley, D. S.; Winters, K. H. 10 1990 The three-dimensional stability of finite-amplitude convection in layered porous medium heated from below. Zbl 0686.76031 Rees, D. A. S.; Riley, D. S. 8 1990 Long-wave morphological instabilities in the directional solidification of a dilute binary mixture. Zbl 0707.76088 Riley, D. S.; Davis, S. H. 6 1990 Long-wave interactions in morphological and convective instabilities. Zbl 0714.76048 Riley, D. S.; Davis, S. H. 3 1990 Modal exchange mechanisms in Lapwood convection. Zbl 0672.76086 Riley, D. S.; Winters, K. H. 23 1989 The effects of boundary imperfections on convection in a saturated porous layer: Non-resonant wavelength excitation. Zbl 0674.76082 Rees, D. A. S.; Riley, D. S. 5 1989 The effects of boundary imperfections on convection in a saturated porous layer: Near-resonant wavelength excitation. Zbl 0661.76098 Rees, D. A. S.; Riley, D. S. 4 1989 Hydrodynamic stability of the melt during the solidification of a binary alloy with small segregation coefficient. Zbl 0679.76053 Riley, D. S.; Davis, S. H. 2 1989 Second-order effects in a laminar axisymmetric plume; subjected to an external coflowing uniform stream. Zbl 0637.76086 Riley, D. S. 1 1988 Free convection in a undulating saturated porous layer: resonant wavelength excitation. Zbl 0597.76089 Rees, D. A. S.; Riley, D. S. 5 1986 Free convection above a near horizontal semi-infinite heated surface embedded in a saturated porous medium. Zbl 0558.76087 Rees, D. A. S.; Riley, D. S. 7 1985 Non-Darcy natural convection from arbitrarily inclined heated surfaces in saturated porous media. Zbl 0586.76153 Riley, D. S.; Rees, D. A. S. 3 1985 On the stability of an axisymmetric plume in a uniform stream. Zbl 0577.76044 Riley, D. S.; Tveitereid, M. 7 1984 Mixed convection in an axisymmetric buoyant plume. Zbl 0528.76087 Riley, D. S.; Drake, D. G. 3 1983 Viscous flow in collapsible tubes of slowly varying elliptical cross- section. Zbl 0361.76120 Wild, Rosemary; Pedley, T. J.; Riley, D. S. 9 1977 On the heat transfer from a wedge with non-isothermal surfaces. Zbl 0312.76053 Drake, David G.; Riley, David S. 1 1975 Heat transfer from an isothermal flat plate with an unheated starting length. Zbl 0291.76034 Drake, David G.; Riley, David S. 3 1974 Stability properties of Adams-Moulton type methods. Zbl 0127.08301 Brown, R. R.; Riley, D.; Bennett, M. M. 7 1965 all cited Publications top 5 cited Publications all top 5 Cited by 272 Authors 13 Riley, David S. 9 McCue, Scott William 9 Rees, D. Andrew S. 6 Duffy, Brian Reginald 6 Wilson, Stephen Kenneth 5 King, John Robert 5 Power, Henry 4 Brown, David A. 4 Winters, Keith H. 4 Zingg, David W. 3 Bassom, Andrew P. 3 Cliffe, K. Andrew 3 Davis, Stephen Howard 3 Florio, Brendan J. 3 Fomin, Sergei A. 3 Impey, M. D. 3 Kelmanson, Mark A. 3 Mojtabi, Abdelkader 3 Please, Colin Peter 3 Pop, Ioan 3 Simpson, Matthew J. 3 Stewart, Ian Nicholas 3 van Gorder, Robert Ashton 3 Wheeler, Adam A. 2 Bardan, Gérald 2 Bergeon, Alain 2 Bontoux, Patrick 2 Chakravarthy, R. V. K. 2 Chugunov, Vladimir 2 Dallaston, Michael Charles 2 Drake, David G. 2 El Ganaoui, Mohammed 2 El-Hachem, Maud 2 Graham, Michael D. 2 Grasselli, Maurizio 2 Groh, Christian M. 2 Hibberd, Stephen 2 Hill, James Murray 2 Huerre, Patrick 2 Hunt, Gary R. 2 Ingham, Derek Binns 2 Issa, Leila 2 Judd, Kevin 2 Kay, E. D. 2 Leslie, G. A. 2 Lesnic, Daniel 2 Lesshafft, Lutz 2 Mazurenko, Anton 2 Moroney, Timothy J. 2 Nield, Donald A. 2 Oliver, James M. 2 Osiptsov, Andrei A. 2 Planella, Ferran Brosa 2 Riahi, Daniel N. 2 Shankar, Ravi 2 Steen, Paul Herman 2 Stemler, Thomas 2 Vogt, Tobias 2 Waters, Sarah Louise 2 Wu, Bisheng 1 Addison, J. A. 1 Akhtar, Saad 1 Alzoubi, Mahmoud A. 1 Aurnou, Jonathan M. 1 Back, Julian Michael 1 Band, Leah R. 1 Bar-Yoseph, Pinhas Z. 1 Barletta, Antonio 1 Benhadid, Hamda 1 Bennacer, Rachid 1 Bernoff, Andrew J. 1 Berre, Inga 1 Bertin, Vincent 1 Bestman, A. R. 1 Bojarevics, Andris 1 Botta, Eugen F. F. 1 Brattkus, Kirk 1 Bringedal, Carina 1 Byrne, Helen Mary 1 Cen, Kefa 1 Chang, Wenjeng 1 Chiam, T. C. 1 Chugunova, Marina A. 1 Cimpeanu, Radu 1 Corson, Lindsey T. 1 Cramer, Andreas 1 Crespo del Arco, Emilia 1 Debrunner, J. 1 Delgado-Buscalioni, Rafael 1 Della Porta, Francesco 1 Dellnitz, Michael 1 Dennis, L. C. C. 1 Dias, Ana Paula S. 1 Dijkstra, Henk A. 1 Doelman, Arjen 1 Du, Yihong 1 Eckert, Sven 1 Emran, Mohammad S. 1 Evans, P. L. 1 Fabrie, Pierre ...and 172 more Authors all top 5 Cited in 48 Serials 33 Journal of Fluid Mechanics 17 Physics of Fluids 8 Journal of Engineering Mathematics 8 Applied Mathematical Modelling 7 International Journal of Heat and Mass Transfer 5 Acta Mechanica 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Physica D 5 European Journal of Applied Mathematics 4 Computers and Fluids 4 Journal of Computational and Applied Mathematics 3 Fluid Dynamics 3 Applied Mathematics and Computation 3 European Journal of Mechanics. B. Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Physics of Fluids, A 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Differential Equations 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computer Physics Communications 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Automatica 1 BIT 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Dynamics and Stability of Systems 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Non-Equilibrium Thermodynamics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Abstract and Applied Analysis 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Acta Mechanica Sinica 1 Journal of Physics A: Mathematical and Theoretical all top 5 Cited in 17 Fields 122 Fluid mechanics (76-XX) 53 Classical thermodynamics, heat transfer (80-XX) 28 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year