ON OSCILLATORY MOTION OF
A GENERALIZED MHD OLDROYD-B FLUID
Abstract. We present an analysis for the flow of an incompressible generalized magnetohydrodynamic (MHD) Oldroyd-B fluid with constant pressure gradient. Fractional derivative is used in the governing equation. Exact analytic solutions are obtained for the velocity field and shear stress in series form in terms of Fox H-functions by means of the Fourier sine transform and discrete Laplace transform. All the imposed initial and boundary conditions are satisfied by the obtained solutions.
AMS Subject classification: 76A05, 76A10


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DOI: 10.12732/ijam.v27i6.7

Volume: 27
Issue: 6
Year: 2014