STABILITY OF A SATURATED POROUS LAYER SUBJECT TO A SUDDEN RISE IN SURFACE TEMPERATURE: COMPARISON BETWEEN THE LINEAR AND ENERGY METHODS

DOI10.1093/qjmam/33.1.47zbMath0423.73087OpenAlexW2096593132MaRDI QIDQ3857843

Jean Paul Caltagirone

Publication date: 1980

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/33.1.47

zbMATH Keywords

energy methodlinear theoryfinite differencestwo-dimensional numerical modelstability of horizontal saturated porous layer subject to sudden rise in surface temperature

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Flows in porous media; filtration; seepage (76S05) Geophysical solid mechanics (74L05)

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Relaxed energy stability analysis on the onset of buoyancy-driven instability in the horizontal porous layer ⋮ Onset of buoyancy-driven convection in a liquid-saturated cylindrical porous layer supported by a gas layer ⋮ The effect of interface movement and viscosity variation on the stability of a diffusive interface between aqueous and gaseous CO2 ⋮ Numerical simulation of the Rayleigh-Taylor instability of a miscible slice in a porous medium ⋮ Non-modal growth of perturbations in density-driven convection in porous media ⋮ On the thermal runaway of variable viscosity flows between concentric cylinders ⋮ Linear stability analysis of a fluid-saturated porous layer subjected to time-dependent heating ⋮ Onset of convection in anisotropic porous media subject to a rapid change in boundary conditions ⋮ Vigorous convection in porous media ⋮ Optimal perturbations of gravitationally unstable, transient boundary layers in porous media ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics ⋮ The impact of imperfect heat transfer on the convective instability of a thermal boundary layer in a porous media

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