The solution of the momentum equation describing unsteady creeping flow of the liquid film during its initial period of drainage on a cylindrical surface has been obtained by the method of finite Hankel transform. The steady-state solution describing the later stages of the drainage process [1, 2] has been deduced by letting the time since the start of motion to be infinite. For completeness, the derivation of the velocity distribution for the vertical plane case applying finite sine transform (equivalent of finite Hankel transform for a cylindrical surface) has also been included.

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