Torque on Eccentric Spheres Flowing in Tubes

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Abstract
The steady flow of an eccentric sphere in a circular cylindrical tube filled with viscous fluid is considered as a regular perturbation of the axisymmetric problem. A sequence of boundary value problems are formulated involving Stokes equations and some linear boundary conditions. Solution of the first-order problem yields the leading term in the perturbation series of the torque on the sphere.

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