Stability criteria for convection with large viscosity variations

DOI10.1007/BF01176363zbMath0592.76062OpenAlexW1993539300MaRDI QIDQ1075862

Brian Straughan

Publication date: 1986

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176363

zbMATH Keywords

eigenvalue problemsshooting methodcompound matrix methodsdepth dependent permeabilitynonlinear stability for convectionstrongly depth dependent viscosity

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) Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)

Related Items (4)

Instability in porous layers with depth-dependent viscosity and permeability ⋮ A nonlinear energy stability analysis of convection with temperature dependent viscosity ⋮ Nonlinear stability for thermal convection in a micropolar fluid with temperature dependent viscosity ⋮ Natural convection in a fluid saturating an anisotropic porous medium in LTNE: effect of depth-dependent viscosity

Cites Work

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• Computation of steady and oscillatory convection in saturated porous media
• On the removal of the singularities from the Riccati method
• An initial value method for eigenvalue problems using compound matrices
• On the stability of the Boussinesq equations
• Nonlinear stability of the Boussines q equations by the method of energy
• Finite amplitude instability thresholds in penetrative convection
• Variable viscosity effects on the onset of convection in porous media
• On the principle of exchange of stabilities

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