Convection in a fluid-saturated porous layer with non-uniform temperature gradient

DOI10.1016/0017-9310(82)90209-5zbMath0493.76086OpenAlexW2080867752MaRDI QIDQ1168847

B. Veerappa, S. Balachandra Rao, N. Rudraiah

Publication date: 1982

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0017-9310(82)90209-5

zbMATH Keywords

Boussinesq approximationnonlinearlinear stability analysistemperature distributionthermal convectionBrinkman modelsingle-term Galerkin expansionfluid saturated horizontal porous layerassociated Rayleigh numbersboundaries free and conductingboundaries rigidcritical wave numbersdelta function profileisothermal boundariespiecewise linear temperature profilesudden heating or cooling at boundariesuniform temperature profile

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free convection (76R10) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items (9)

Thermorheological effect on thermal nonequilibrium porous convection with heat generation ⋮ Linear stability of natural convection in a multilayer system of fluid and porous layers with internal heat sources ⋮ Natural convection in porous media: effect of weak dispersion on bifurcation ⋮ Effects of spatially varying gravity, temperature and concentration fields on the stability of a chemically reacting fluid layer ⋮ The effect of a nonuniform basic temperature gradient on the convective instability of a fluid-saturated porous layer with general velocity and thermal conditions ⋮ Asymptotic behaviour of heat transfer in two-dimensional turbulent convection with high-porosity fluid-saturated media ⋮ Boundary and inertia effects on convection in porous media with throughflow ⋮ Analysis of non-uniform temperature profiles on Bénard convection in micropolar fluids. ⋮ Linear and global stability analyses on the influences of thermal non-equilibrium and non-uniform gravity field on Darcy-Brinkman-Bénard convection

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