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Unsteady couette flow of a gas between two parallel infinite plates have been studied in this paper. We proposed a new transform technique called Elzaki transform. Analytical solution is obtained for the equation of motion by this method. Although the Elzaki transform have a close connection with the Laplace transform, Elzaki transform is easy to employ and has got several advantages over Laplace transform method.

COUETTE FLOW OF A GAS BY ELZAKI TRANSFORM