A NEW EXACT SOLUTION OF THE STOKES EQUATION

【摘要】 <正> Consider a spherical shell of radius a filled with viscous incompressible fluid in its inner and outer regions. Suppose that the sphere is rigid and permeable in which the Starling filtration formula holds. A stream with uniform velocity V_∞ at the infinity passes around the spherical shell, which causes the fluid moving within the sphere due to the filtration. Assume that the fluid motions inside and outside the sphere are both Stokesian. Obviously, it is an axisymmetric problem. In cylindrical system coordinate更多还原