On the stability of two-dimensional convection rolls in an infinite Prandtl number fluid with stress-free boundaries

DOI10.1007/BF00944995zbMath0668.76051OpenAlexW2022611563MaRDI QIDQ1118483

M. Schnaubelt, Friedrich H. Busse

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944995

zbMATH Keywords

Galerkin methodno-slip boundariestwo-dimensional convection rollsfluid layer of infinite Prandtl numberstability of the steady solutionsStress-free, isothermal boundaries

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Basic methods in fluid mechanics (76M99)

Related Items (4)

Convection in a fluid layer with asymmetric boundary conditions ⋮ Structure of bifurcated solutions of two-dimensional infinite Prandtl number convection with no-slip boundary conditions ⋮ Numerical simulations of three-dimensional thermal convection in a fluid with strongly temperature-dependent viscosity ⋮ Thermosolutal convection at infinite prandtl number with or without rotation: Bifurcation and stability in physical space

Cites Work

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• Stability of convection rolls in a layer with stress-free boundaries
• Fast viscous bénard convection
• Instabilities of convection rolls with stress-free boundaries near threshold
• Finite amplitude convective cells and continental drift
• On the Stability of Two‐Dimensional Convection in a Layer Heated from Below
• Finite amplitude doubly diffusive convection
• Two-dimensional Rayleigh-Benard convection

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