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Consider creeping flow of a liquid at velocity v=Uex relative to a spherical bubble of radius R, with coordinates as in Problem 1. The boundary
Consider creeping flow of a liquid at velocity v=Uex relative to a spherical bubble of radius R, with coordinates as in Problem 1. The boundary conditions are also the same as in Problem 1. In the equations below, is the viscosity of the liquid. The general solution given by Deen Eqs. 8.3-28 through 8.3-30 are again applicable here. Show that the velocity and pressure in the surrounding liquid are: vr(r,)=Ucos(1rR)v(r,)=Usin(121rR)
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