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The Global Characteristics of the Three-dimensional Thermal Convection Inside a Spherical Shell : Volume 4, Issue 1 (30/11/-0001)

By Arkani-hamed, J.

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Book Id: WPLBN0004019889
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: The Global Characteristics of the Three-dimensional Thermal Convection Inside a Spherical Shell : Volume 4, Issue 1 (30/11/-0001)  
Author: Arkani-hamed, J.
Volume: Vol. 4, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Arkani-Hamed, J. (-0001). The Global Characteristics of the Three-dimensional Thermal Convection Inside a Spherical Shell : Volume 4, Issue 1 (30/11/-0001). Retrieved from http://www.ebooklibrary.org/


Description
Description: Earth and Planetary Sciences, McGill University, Montreal, Quebec, Canada. The Rayleigh number-Nusselt number, and the Rayleigh number-thermal boundary layer thickness relationships are determined for the three-dimensional convection in a spherical shell of constant physical parameters. Several models are considered with Rayleigh numbers ranging from 1.1 x 102 to 2.1 x 105 times the critical Rayleigh number. At lower Rayleigh numbers the Nusselt number of the three-dimensional convection is greater than that predicted from the boundary layer theory of a horizontal layer but agrees well with the results of an axisymmetric convection in a spherical shell. At high Rayleigh numbers of about 105 times the critical value, which are the characteristics of the mantle convection in terrestrial planets, the Nusselt number of the three-dimensional convection is in good agreement with that of the boundary layer theory. At even higher Rayleigh numbers, the Nusselt number of the three-dimensional convection becomes less than those obtained from the boundary layer theory. The thicknesses of the thermal boundary layers of the spherical shell are not identical, unlike those of the horizontal layer. The inner thermal boundary is thinner than the outer one, by about 30- 40%. Also, the temperature drop across the inner boundary layer is greater than that across the outer boundary layer.

Summary
The global characteristics of the three-dimensional thermal convection inside a spherical shell

 

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