Bénard convection and the Cattaneo law of heat conduction

DOI10.1017/S0308210500020564zbMath0544.76042OpenAlexW2323836118MaRDI QIDQ3335305

Franca Franchi, Brian Straughan

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500020564

zbMATH Keywords

Bénard convectiononset of convectionCritical Rayleigh numbersheated above and belowMaxwell-Cattaneo heat flux

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items (15)

Viscoelastic type magnetic effects and self-gravity on the propagation of MHD waves ⋮ Global weak solutions to a model of micropolar fluids with Maxwell-Cattaneo heat transfer law ⋮ Thermal convection with the Cattaneo-Christov model ⋮ Oscillatory convection and the Cattaneo law of heat conduction ⋮ Uniqueness and structural stability for the Cattaneo-Christov equations ⋮ On the application of the Cole-Hopf transformation to hyperbolic equations based on second-sound models ⋮ On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction ⋮ Maxwell–Cattaneo double-diffusive convection: limiting cases ⋮ Convective instabilities of Maxwell–Cattaneo fluids ⋮ The convective instability of a Maxwell–Cattaneo fluid in the presence of a vertical magnetic field ⋮ Porous convection with Cattaneo heat flux ⋮ The influence of thermal relaxation on the oscillatory properties of two-gradient convection in a vertical slot ⋮ Porous ferroconvection with local thermal nonequilibrium temperatures and with Cattaneo effects in the solid ⋮ Critical Rayleigh numbers for oscillatory and nonlinear convection in an isotropic thermomicropolar fluid ⋮ Wave structure in Stokes' second problem for a dipolar fluid with nonclassical heat conduction

Cites Work

• Acceleration waves and second sound in a perfect fluid
• A general theory of heat conduction with finite wave speeds
• Low Temperature Effects and Generalized Thermoelasticity

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