A typhoon-like vortex solution of incompressible 3D inviscid flow  

作　　者：L.Sun 1,2,a) 1) School of Earth and Space Sciences,University of Science and Technology of China,Hefei 230026,China 2) LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第4期45-46,共2页力学快报（英文版）

基　　金：supported by the National Basic Research Program of China(2007CB816004);Innovation Program of the Chinese Academy of Sciences (KZCX2-YW-QN514)

摘　　要：This letter obtains a typhoon-like vortex solution by solving the Bragg-Hawthorne equation.The solution describes spiral paths of fluid material element on the Bernoulli surface,whereas some new exact solutions are obtained which are bounded in the whole region.The first one is a continued umbrella vortex solution,which is a typhoon-like vortex.The second one is a multi-planar solution,which is periodic in z-coordinate.Within each layer,there is an umbrella vortex solution similar to the first one.The above explicit solutions can be applied to the study of radial structure of typhoon.Both the solutions and the approaches used in the present work can also be applied to other complex flows.This letter obtains a typhoon-like vortex solution by solving the Bragg-Hawthorne equation.The solution describes spiral paths of fluid material element on the Bernoulli surface,whereas some new exact solutions are obtained which are bounded in the whole region.The first one is a continued umbrella vortex solution,which is a typhoon-like vortex.The second one is a multi-planar solution,which is periodic in z-coordinate.Within each layer,there is an umbrella vortex solution similar to the first one.The above explicit solutions can be applied to the study of radial structure of typhoon.Both the solutions and the approaches used in the present work can also be applied to other complex flows.

关 键 词：Euler equations exact solution umbrella vortex TYPHOON 

分 类 号：O351.3[理学—流体力学]