Question: A spherical drop is settling down due to gravity in a quiescent fluid at low Reynolds number, derive the expression for the velocity field

A spherical drop is settling down due to gravity in a quiescent fluid at low Reynolds number, derive the expression for the velocity field for the inner and outer fluids. Plot the streamlines on the velocity contour plots. [Hint: Solve using Legendre polynomials instead of integral form of the Legendre polynomials, Reference frame is co-moving with the droplet]

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