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Laminar boundary layer on an impulsively started rotating sphere

 

作者: S. C. R. Dennis,   D. B. Ingham,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1979)
卷期: Volume 22, issue 1  

页码: 1-9

 

ISSN:0031-9171

 

年代: 1979

 

DOI:10.1063/1.862466

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The problem of determining the development with time of the flow of a viscous incompressible fluid outside a rotating sphere is considered. The sphere is started impulsively from rest to rotate with constant angular velocity about a diameter. The motion is governed by a coupled set of three nonlinear time‐dependent partial differential equations which are solved by first employing the semi‐analytical method of series truncation to reduce the number of independent variables by one and then solving numerically a finite set of partial differential equations in one space variable and the time. The calculations have been carried out on the assumption that the Reynolds number is very large. The physical properties of the flow are calculated as functions of the time and compared with existing solutions for large and small times. A radial jet is found to develop with time near the equator of the sphere as a consequence of the collision of the boundary layers.

 

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