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Boussinesq approximation (buoyancy)

About: Boussinesq approximation (buoyancy) is a research topic. Over the lifetime, 414 publications have been published within this topic receiving 5304 citations.


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Journal ArticleDOI
01 Oct 1976-Icarus
TL;DR: In this article, a theoretical model for the latitudinal structure of alternating zones and belts in the Jovian atmosphere is proposed, based on the theory of convection in rapidly rotating spherical fluid shells heated from within.

267 citations

Journal ArticleDOI
TL;DR: In this article, a more realistic representation of the thermodynamics and convection of the Earth's geodynamo is presented, where compositional buoyancy and thermal buoyancy drive convection in the fluid outer core.

205 citations

Journal ArticleDOI
TL;DR: In this paper, a numerical study of natural convection in a two-dimensional square open cavity under laminar steady-state conditions has been performed, where one heated vertical wall facing a vertical opening and two insulated horizontal walls.
Abstract: A numerical study of natural convection in a two-dimensional square open cavity under laminar steady-state conditions has been performed. The square cavity has one heated vertical wall facing a vertical opening and two insulated horizontal walls. Results are obtained for Rayleigh numbers ranging from 103 to 109 at unit Prandtl number with constant properties and the Boussinesq approximation. Heat transfer results approach those for an isothermal vertical flat plate at high Rayleigh numbers. Streamline and isotherm plots illustrate the effect of the open boundary on the basic flow patterns. A recirculation zone is found at high Rayleigh numbers above the bottom wall due to incoming flow turning around the corner. Thermally stratified flow below the top wall exits to form a wall plume.

147 citations

Journal ArticleDOI
TL;DR: In this article, the physics of a twisted magnetic flux tube rising in a stratified medium is studied using a numerical MHD code, and the problem considered is fully compressible (no Boussinesq approximation), includes ohmic resistivity, and is two dimensional, i.e., there is no variation of the variables in the direction of the tube axis.
Abstract: The physics of a twisted magnetic flux tube rising in a stratified medium is studied using a numerical MHD code. The problem considered is fully compressible (no Boussinesq approximation), includes ohmic resistivity, and is two dimensional, i.e., there is no variation of the variables in the direction of the tube axis. We study a high plasma beta case with small ratio of radius to external pressure scaleheight. The results obtained can therefore be of relevance to understand the transport of magnetic flux across the solar convection zone.

144 citations

Journal ArticleDOI
TL;DR: In this article, the linear stability of a rotating, electrically conducting viscous layer, heated from below and cooled from above, and lying in a uniform magnetic field is examined, using the Boussinesq approximation.
Abstract: The linear stability of a rotating, electrically conducting viscous layer, heated from below and cooled from above, and lying in a uniform magnetic field is examined, using the Boussinesq approximation. Several orientations of the magnetic field and rotation axes are considered under a variety of different surface conditions. The analysis is, however, limited to large Taylor numbers, T , and large Hartmann numbers, M . (These are non-dimensional measures of the rotation rate and magnetic field strength, respectively.) Except when field and rotation are both vertical, the most unstable mode at marginal stability has the form of a horizontal roll whose orientation depends in a complex way on the directions and strengths of the field and angular velocity. For example, when the field is horizontal and the rotation is vertical, the roll is directed parallel to the field, provided that the field is sufficiently weak. In this case, the Rayleigh number, R (the non-dimensional measure of the applied temperature contrast) must reach a critical value, R c , which is O ( T 2/5 ) before convection will occur. If, however, the field is sufficiently strong [ T = O ( M 4 )], the roll makes an acute angle with the direction of the field, and R c = O ( T 1/2 ), i.e. the critical Rayleigh number is much smaller than when the magnetic field is absent. Also, in this case the mean applied temperature gradient and the wavelength of the tesselated convection pattern are both independent of viscosity when the layer is marginally stable. Furthermore, the Taylor-Proudman theorem and its extension to the hydromagnetic case are no longer applicable even qualitatively. Over the interior of the layer, however, the Coriolis forces to which the convective motions are subjected are, to leading order, balanced by the Lorentz forces. The results obtained in this paper have a bearing on the possibility of a thermally driven steady hydromagnetic dynamo.

139 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202336
202277
202149
202018
201924
201815