Porous convection with local thermal non-equilibrium temperatures and with Cattaneo effects in the solid
(2013)
Journal Article
Straughan, B. (2013). Porous convection with local thermal non-equilibrium temperatures and with Cattaneo effects in the solid. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469(2157), Article 20130187. https://doi.org/10.1098/rspa.2013.0187
All Outputs (85)
Triply resonant penetrative convection (2012)
Journal Article
Straughan, B. (2012). Triply resonant penetrative convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468(2148), 3804-3823. https://doi.org/10.1098/rspa.2012.0211
Hyperbolic diffusion with Christov–Morro theory (2012)
Journal Article
Gentile, M., & Straughan, B. (2012). Hyperbolic diffusion with Christov–Morro theory. Mathematics and Computers in Simulation, 127, 94-100. https://doi.org/10.1016/j.matcom.2012.07.010We employ recent ideas of C.I. Christov and of A. Morro to develop a theory for diffusion of a solute in a Darcy porous medium taking convection effects into account. The key point is that the solute evolution is not governed by a parabolic system of... Read More about Hyperbolic diffusion with Christov–Morro theory.
Tipping points in Cattaneo-Christov thermohaline convection (2011)
Journal Article
Straughan, B. (2011). Tipping points in Cattaneo-Christov thermohaline convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467(2125), 7-18. https://doi.org/10.1098/rspa.2010.0104A model is proposed for thermohaline convection when the heat flux satisfies a relaxation time law rather than the classical Fourier one. Here, we adopt the recent law due to Christov. That a Cattaneo-like law would be relevant in thermohaline convec... Read More about Tipping points in Cattaneo-Christov thermohaline convection.
Green-Naghdi fluid with non-thermal equilibrium effects (2010)
Journal Article
Straughan, B. (2010). Green-Naghdi fluid with non-thermal equilibrium effects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2119), 2021-2032. https://doi.org/10.1098/rspa.2009.0523
Decay for a Keller-Segel chemotaxis model (2009)
Journal Article
Payne, L., & Straughan, B. (2009). Decay for a Keller-Segel chemotaxis model. Studies in Applied Mathematics, 123(4), 337-360. https://doi.org/10.1111/j.1467-9590.2009.00457.x
Nonlinear stability for diffusion models in biology (2009)
Journal Article
Mulone, G., & Straughan, B. (2009). Nonlinear stability for diffusion models in biology. SIAM Journal on Applied Mathematics, 69(6), 1739-1758. https://doi.org/10.1137/070697884
Global stability for thermal convection in a fluid overlying a highly porous material (2009)
Journal Article
Hill, A., & Straughan, B. (2009). Global stability for thermal convection in a fluid overlying a highly porous material. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2101), 207-217. https://doi.org/10.1098/rspa.2008.0303
Poiseuille flow in a fluid overlying a porous medium (2008)
Journal Article
Hill, A., & Straughan, B. (2008). Poiseuille flow in a fluid overlying a porous medium. Journal of Fluid Mechanics, 603, 137-149. https://doi.org/10.1017/s0022112008000852This paper numerically investigates the instability of Poiseuille flow in a fluid overlying a porous medium saturated with the same fluid. A three-layer configuration is adopted. Namely, a Newtonian fluid overlying a Brinkman porous transition layer,... Read More about Poiseuille flow in a fluid overlying a porous medium.
Global stability for convection when the viscosity\r\nhas a maximum (2004)
Journal Article
Diaz, J., & Straughan, B. (2004). Global stability for convection when the viscosity\r\nhas a maximum. Continuum Mechanics and Thermodynamics, 16, 347-352
Discontinuity waves in type III thermoelasticity (2004)
Journal Article
Quintanilla, R., & Straughan, B. (2004). Discontinuity waves in type III thermoelasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460, 1169-1175
The energy method, stability, and nonlinear convection. (2004)
Book
Straughan, B. (2004). The energy method, stability, and nonlinear convection. Springer Verlag. https://doi.org/10.1007/978-0-387-21740-6This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2-4), which begins at an elementary level and exp... Read More about The energy method, stability, and nonlinear convection..
Penetrative convection in a superposed porous-medium-fluid layer via internal heating (2004)
Journal Article
Carr, M. (2004). Penetrative convection in a superposed porous-medium-fluid layer via internal heating. Journal of Fluid Mechanics, 509, 305-329
Resonant porous penetrative convection (2004)
Journal Article
Straughan, B. (2004). Resonant porous penetrative convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460(2050), 2913-2927. https://doi.org/10.1098/rspa.2004.1292An interesting convection situation is studied in a porous medium. We show that there is a range in which the convection may switch from the lower part of the layer to being predominantly in the upper part of the layer. Both linear instability and no... Read More about Resonant porous penetrative convection.
Penetrative convection in a fluid overlying a porous layer (2003)
Journal Article
Carr, M., & Straughan, B. (2003). Penetrative convection in a fluid overlying a porous layer. Advances in Water Resources, 26, 263--276
A model for convection in the evolution of under-ice melt ponds. (2003)
Journal Article
Carr, M. (2003). A model for convection in the evolution of under-ice melt ponds. Continuum Mechanics and Thermodynamics, 15, 45-54
Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues (2003)
Journal Article
Straughan, B. (2003). Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics, 15, 571-579
Continuous dependence and decay for the Forchheimer equations (2003)
Journal Article
Franchi, F., & Straughan, B. (2003). Continuous dependence and decay for the Forchheimer equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, 3195-3202
Unconditional nonlinear stability for temperature dependent density flow in a porous medium. (2003)
Journal Article
Carr, M. (2003). Unconditional nonlinear stability for temperature dependent density flow in a porous medium. Mathematical Models and Methods in Applied Sciences, 13, 207-222
Explosive instabilities in heat transmission (2002)
Journal Article
Quintanilla, R., & Straughan, B. (2002). Explosive instabilities in heat transmission. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458, 2833-2837