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Viscosity, Stoke's flow

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Old   August 22, 2007, 17:24
Default Viscosity, Stoke's flow
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According to Fung, in Stoke's flow the pressure p satisfies the Laplace equation (nabla2 p = 0) and the velocity components satisfy the biharmonic equations (nabla4 u = 0). Does this mean that the velocity field becomes independent of the value of the dynamic viscosity? Thanks!
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Old   August 23, 2007, 12:28
Default Re: Viscosity, Stoke's flow
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Stokes flow is the lead order term in an asymptotic expansion in terms of the Reynolds number R (in the limit R->0). Each succesive term in such an expansion is independant or R (and hence the kinematic viscosity) but the solution is not since it is the sum of these terms each of which has a Reynolds number number factor in from of it.
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