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In this paper, we study the unsteady hydromagnetic flow of a Walter's fluid(Model B') down an open inclined channel of width 2a and depth d under gravity,the walls of the channel being normal to the surface of the bottom under theinfluence of a uniform transverse magnetic field. A uniform tangential stressis applied at the free surface in the direction of flow. We have evaluated thevelocity distribution by using Laplace transform and finite Fourier Sinetransform technique. The velocity distribution has been obtained takingdifferent form of time dependent pressure gradient g(t), viz., i) constant ii)exponential decreasing function of time and iii) Cosine function of time. Theeffects of magnetic parameter M, Reynolds number R and the viscoelasticparameter K are discussed on the velocity distribution in three differentcases.

Unsteady Hydromagnetic Flow of Viscoelastic Fluid down an Open Inclined Channel