Nonlinear Convective Stability in a Porous Medium with Temperature‐Dependent Viscosity and Inertial Drag

DOI10.1002/sapm1996963273zbMath0853.76025OpenAlexW2282903131MaRDI QIDQ4884433

Y. Qin, John M. Chadam

Publication date: 14 July 1996

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1996963273

zbMATH Keywords

fluid-saturated porous mediumquadratic drag term

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Flows in porous media; filtration; seepage (76S05)

Related Items (5)

Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum ⋮ Convergence and continuous dependence results for the Brinkman equations ⋮ Stability of double-diffusive convection in a porous medium with temperature-dependent viscosity: Brinkman-Forchheimer model ⋮ Stability and Newton's law of cooling in double diffusive flow ⋮ Continuous dependence for double diffusive convection in a Brinkman model with variable viscosity

Cites Work

• Thermal dispersion in a porous medium
• Boundary and inertia effects on flow and heat transfer in porous media
• Penetrative convection in a micropolar fluid
• Convection with temperature dependent viscosity in a porous medium: Nonlinear stability and the Brinkman effect
• Convection in thawing subsea permafrost
• A nonlinear stability problem of convection in a porous vertical slab
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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