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- W2181493886 abstract "In this paper, we studied the effect of magnetic hydrodynamic (MHD) on accelerated flows of a viscoelastic fluid with the fractional Burgers’ model. The velocity field of the flow is described by a fractional partial differential equation of fractional order by using Fourier sine transform and Laplace transform, an exact solutions for the velocity distribution are obtained for the following two problems: flow induced by constantly accelerating plate, and flow induced by variable accelerated plate. These solutions, presented under integral and series forms in terms of the generalized Mittag-Leffler function, are presented as the sum of two terms. The first term, represent the velocity field corresponding to a Newtonian fluid, and the second term gives the non-Newtonian contributions to the general solutions. The similar solutions for second grad, Maxwell and Oldroyd-B fluids with fractional derivatives, as well as, those for the ordinary models are obtained as the limiting cases of our solutions. Moreover, in the special cases when 1 = = β α . While the MATHEMATICA package is used to draw the figures velocity components in the plane." @default.
- W2181493886 created "2016-06-24" @default.
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- W2181493886 date "2013-01-01" @default.
- W2181493886 modified "2023-09-24" @default.
- W2181493886 title "Effect of Mhd on Accelerated Flows of A Viscoelastic Fluid with The Fractional Burgers' Model" @default.
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