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Creeping flow (flow with Re << 1) past a sphere is described by Stokes’* celebrated solution (1851). The solution is formulated with the help of the streamfunction which ensures mass conservation on a differential level. However, if the streamlines and velocity contours for this flow are plotted, the image suggests that global continuity is violated. This can often lead to some confusion and doubt over the validity of the solution, so a simple demonstration follows to show that Stokes’ solution also satisfies global mass conservation, despite the illusion presented by the streamlines and velocity contours.

 
 
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Keywords

Stokes  flow  creeping  continuity  mass  conservation  
streamfunction  
 
 
 About This Document
 
 Subject Mechanical Engineering
 Category Question and Answer
 Views 3172
 Downloads 220
 Added 11-09-09
 Contributor   daanish
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