A general solution of unsteady Stokes equations is suggested and its completeness is proved. A simple method of solution for the problem of an arbitrary unsteady Stokes ow in the presence of a sphere is discussed. Some physical properties like drag and torque experienced by the sphere are given and compared with some earlier known results.
Lamb [1945. Hydrodynamics, sixth ed. Cambridge University Press, Cambridge, NewYork.] suggested a solution of Oseen [1927. Hydrodynamic. Akademische Verlag, Leipzig.] equations. However, this solution is not a general solution. We propose a new form of solution of Oseen equations and show that it is indeed a general solution. An example of an Oseenlet is discussed. We derive a necessary and sufficient condition for a divergence-free vector to represent the velocity in an Oseen flow.
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