The Influence of Magnetohydrodynamic Flow and Slip Condition on Generalized Burgers’ Fluid with Fractional Derivative

Authors

Amaal Mohi Nassief, Department of Mathematics, College of Science, University of Diyala, Diyala, IraqFollow
Mohammed Ali Murad, Department of Mathematics, College of basic education, University of Diyala, Diyala, Iraq

Abstract

This paper investigates the effect of magnetohydrodynamic (MHD) of an incompressible generalized burgers’ fluid including a gradient constant pressure and an exponentially accelerate plate where no slip hypothesis between the burgers’ fluid and an exponential plate is no longer valid. The constitutive relationship can establish of the fluid model process by fractional calculus, by using Laplace and Finite Fourier sine transforms. We obtain a solution for shear stress and velocity distribution. Furthermore, 3D figures are drawn to exhibit the effect of magneto hydrodynamic and different parameters for the velocity distribution.

Keywords

Burgers’ fluid, Fox H-function, Laplace transform, Slip condition.

Article Type

Article

How to Cite this Article

Nassief, Amaal Mohi and Murad, Mohammed Ali (2020) "The Influence of Magnetohydrodynamic Flow and Slip Condition on Generalized Burgers’ Fluid with Fractional Derivative," Baghdad Science Journal: Vol. 17: Iss. 1, Article 20.
DOI: https://doi.org/10.21123/bsj.2020.17.1.0150