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The stationary Stokes flow through a spherical region with large variations of density and viscosity coefficient
Arch. Mech. 48 (4), 765-778, 1996
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Abstract
We are interested in flows of a fluid whose density changes abruptly after entering a certain region in R3. Flows of this kind may be useful in modelling such phenomena as propagating flames. Assuming that the region is a ball we find a closed-form solution for the flow homogeneous at infinity in the Stokes approximation. It is compared with the analytical solution in the Euler approximation. Such solutions can also be used as a test for numerical algorithms solving the flow equations.