Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity

DOI10.1007/BF01201819zbMath0846.76033OpenAlexW2022618499MaRDI QIDQ1913001

Florinda Capone, Maurizio Gentile

Publication date: 23 September 1996

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

Full work available at URL: https://doi.org/10.1007/bf01201819

zbMATH Keywords

energy approachnonlinear asymptotic stability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

Related Items (10)

Error bounds on block Gauss-Seidel solutions of coupled multiphysics problems ⋮ Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity ⋮ MHD convective heat transfer with temperature-dependent viscosity and thermal conductivity: a numerical investigation ⋮ Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum ⋮ Effect of temperature-dependent viscosity on the onset of Bénard-Marangoni ferroconvection in a ferrofluid saturated porous layer ⋮ A note on convection with nonlinear heat flux ⋮ The Lyapunov-Movchan method in problems of the stability of flows and deformation processes ⋮ Natural convection in a fluid saturating an anisotropic porous medium in LTNE: effect of depth-dependent viscosity ⋮ Flow of a generalized second grade non-Newtonian fluid with variable viscosity ⋮ The Rayleigh-Bénard problem for a fluid with pressure- and temperature-dependent material properties

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• The stability of finite amplitude cellular convection and its relation to an extremum principle

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