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Volume 1,     Number 3,     Summer 1993

 

THE DEVELOPMENT OF SOURCE-SINK FLOWS IN A ROTATING FLUID
S.H. SMITH

Abstract. A detailed analysis is presented for the development in time of the flow between a line source and a line sink positioned inside a finite circular cylinder which is rotating with constant angular velocity. This model was introduced initially by Hide [6], and the steady state motion was described by Johnson [8]. Here we see how the maintenance of the mass flux balance under the action of viscous and Coriolis forces leads to the formation of different layers for different times, before the final situation is achieved.

 

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