Large departures from Boussinesq approximation in the Rayleigh–Bénard problem

DOI10.1063/1.858413zbMath0758.76022OpenAlexW2170172380MaRDI QIDQ4019467

Jochen Fröhlich, Patrice Laure, Roger Peyret

Publication date: 16 January 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858413

zbMATH Keywords

bifurcationheat conductivitycritical Rayleigh numbertemperature-dependent viscosityonset of convectionnon-Boussinesq approximation

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (16)

A 3D pseudo-spectral low Mach-number solver for buoyancy driven flows with large temperature differences ⋮ Shape optimization in thermal convection field considering a slight compressibility ⋮ Rayleigh–Bénard flow of a rarefied gas and its attractors. III. Three-dimensional computer simulations ⋮ Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term ⋮ Rayleigh–Bénard stability and the validity of quasi-Boussinesq or quasi-anelastic liquid approximations ⋮ Linear and weakly nonlinear analysis of Rayleigh–Bénard convection of perfect gas with non-Oberbeck–Boussinesq effects ⋮ Non-Boussinesq simulations of Rayleigh–Bénard convection in a perfect gas ⋮ On the Rayleigh–Bénard problem in the continuum limit ⋮ On the Rayleigh-Bénard problem in the continuum limit: Effects of temperature differences and model of interaction ⋮ Asymptotic analysis of Rayleigh-Taylor flow for Newtonian miscible fluids ⋮ Theoretical and numerical study of a thermal convection problem with temperature-dependent viscosity in an infinite layer ⋮ Effect of pressure work and viscous dissipation in the analysis of the Rayleigh-Bénard problem ⋮ Direct numerical simulations of Rayleigh–Bénard convection in water with non-Oberbeck–Boussinesq effects ⋮ A 3D finite volume method for the prediction of a supercritical fluid buoyant flow in a differentially heated cavity ⋮ A review of fluid instabilities and control strategies with applications in microgravity ⋮ The reduction of pressure losses in thermally modulated vertical channels

Cites Work

• Calculations of non-Boussinesq convection by a pseudospectral method
• Symmetries and pattern selection in Rayleigh-Bénard convection
• Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem
• The validity of the Boussinesq approximation for liquids and gases
• Amplitude Equations for Systems with Competing Instabilities
• Natural convection in an enclosed vertical air layer with large horizontal temperature differences
• Stability of free-convection flows of variable-viscosity fluids in vertical and inclined slots
• The equations of motion for thermally driven, buoyant flows
• On the stability of steady finite amplitude convection
• The stability of finite amplitude cellular convection and its relation to an extremum principle
• Accurate solution of the Orr–Sommerfeld stability equation

This page was built for publication: Large departures from Boussinesq approximation in the Rayleigh–Bénard problem