Question: Please show that these equations for Creep Flow around a Sphere satisfy continuity equation, and Navier Stokes Equation mathematically. Please include work for all derivatives.
Please show that these equations for Creep Flow around a Sphere satisfy continuity equation, and Navier Stokes Equation mathematically. Please include work for all derivatives. Thanks
11.2 Creeping flow around a sphere. The Stokes solution for steady, creeping flow of an incompressible fluid (v=U ) around a sphere (of radius R ), is as follows: v=U[143(rR)41(rR)3]sinvr=U[123(rR)+21(rR)3]cosv=0P=23RU(rR)2cos
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