Problems of astrophysical turbulent convection: thermal convection in a layer without boundaries

Simitev, R.D. and Busse, F.H. (2010) Problems of astrophysical turbulent convection: thermal convection in a layer without boundaries. In: Center for Turbulence Research Proceedings of the Summer Program 2010: Studying Turbulence Using Numerical Simulation Database - XIII. Center for Turbulence Research, Stanford University, pp. 485-492.

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Abstract

Thermal convection in fluid layers heated from below are usually realized experimentally as well as treated theoretically with fixed boundaries on which conditions for the temperature and the velocity field are prescribed. The thermal and velocity boundary layers attached to the upper and lower boundaries determine to a large extent the properties of turbulent convection at high Rayleigh numbers. Fixed boundaries are often absent in natural realizations of thermal convection. This paper studies the properties of convection driven by a planar heat source below a cooling source of equal size immersed in an otherwise stably stratified fluid layer are studied in this paper. Unavoidable boundaries do not influence the convection flow since they are separated from the active convection layer by nearly motionless stably stratified regions. The onset of convection occurs in an inner unstably stratified region where the mean temperature gradient is reversed. But the region of a reversed horizontally averaged temperature gradient disappears at higher amplitudes of convection such that the vertical derivative of the mean temperature no longer changes its sign

Item Type:Book Sections
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Simitev, Professor Radostin
Authors: Simitev, R.D., and Busse, F.H.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:Center for Turbulence Research, Stanford University
Copyright Holders:Copyright © 2010 Center for Turbulence Research, Stanford University
First Published:First published in Center for Turbulence Research Proceedings of the Summer Program 2010: Studying Turbulence Using Numerical Simulation Database - XIII, p. 485-492
Publisher Policy:Reproduced with the permission of the publisher
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