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The motion of a spherical solid particle in plane Couette flow is governed bya linear problem that has a simple exact solution. As such, there is no needfor an approximate analytical representation of the solution; specially when itis tedious, complicated, and requires hairy terms to give accurate results onlyat small or moderate values of the time.

Motion of a spherical solid particle in Couette flow: exact solution vs. homotopy perturbation approximation with and without Pade approximants