Analytical Solutions for the Thermal Forcing Vortices in the Boundary Layer and Its Applications

LIU Xiao-ran; LI Guo-ping

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(4): 391-400

LIU Xiao-ran, LI Guo-ping. Analytical Solutions for the Thermal Forcing Vortices in the Boundary Layer and Its Applications[J]. Applied Mathematics and Mechanics, 2007, 28(4): 391-400.

Citation:

LIU Xiao-ran, LI Guo-ping. Analytical Solutions for the Thermal Forcing Vortices in the Boundary Layer and Its Applications[J]. Applied Mathematics and Mechanics, 2007, 28(4): 391-400.

Citation:

LIU Xiao-ran, LI Guo-ping. Analytical Solutions for the Thermal Forcing Vortices in the Boundary Layer and Its Applications[J]. Applied Mathematics and Mechanics, 2007, 28(4): 391-400.

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Analytical Solutions for the Thermal Forcing Vortices in the Boundary Layer and Its Applications

LIU Xiao-ran^1,2,
LI Guo-ping¹

1.
Center for Plateau Atmospheric and Environmental Research, Chengdu University of Information Technology, Chengdu 610225, P. R. China;

Received Date: 2006-06-13
Rev Recd Date: 2007-03-04
Publish Date: 2007-04-15

Abstract

Abstract

Using the Boussinesq approximation, the vortex in the boundary layer was assumed to be axisymmetrical and thermal-wind balanced system forced by diabatic heating and friction, and was solved as an initial-value problem of linearized vortex equation set in cylindrical coordinates. The impacts of thermal forcing on the flow field structure of vortex were analyzed. It is found that thermal forcing has significant impacts on the flow field structure, and the material representative forms of these impacts are closely related to the radial distribution of heating. The discussion for the analytical solutions for the vortex in the boundary layer can explain some main structures of the vortex over the Tibetan Plateau.
- vortex,
- boundary layer,
- analytical solutions,
- thermal forcing,
- structure

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References(16)

References

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