Nonlinear convection in high vertical channels

DOI10.1017/S0022112084001324zbMath0565.76092OpenAlexW2060320411MaRDI QIDQ3680529

Christiane Normand

Publication date: 1984

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112084001324

zbMATH Keywords

analytical solutionscoordinate transformationvertical platesnonlinear convectiontwo boundary layersvertical circular cylindersconvection heat transfer in cavitiesdividing the flow into two regionshigh vertical channelsinfinite vertical extent

Mathematics Subject Classification ID

Diffusion and convection (76R99)

Related Items (5)

Order parameter equations for long-wavelength instabilities ⋮ Two-dimensional patterns in Rayleigh-Taylor instability of a thin layer ⋮ Fixed-flux convection in a tilted slot ⋮ On three-dimensional stable long-wavelength convection in the presence of Dirichlet thermal boundary conditions ⋮ Phase instabilities for antisymmetric convective flows in a vertical cylinder

Cites Work

• Finite amplitude cellular convection
• Instability of a viscous liquid of variable density in a vertical Hele-Shaw cell
• On the tendency towards hexagonal cells in steady convection
• Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid
• On Thermal Convection in a Large Box
• On the stability of steady finite amplitude convection
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection
• Buoyancy-driven convection in cylindrical geometries

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