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

• Main Author: Nassief et al.
• Format: Article
• Language: Arabic
• Published: College of Science for Women, University of Baghdad 2020-03-01
• Series: Baghdad Science Journal
• Subjects: Burgers’ fluid, Fox H-function, Laplace transform, Slip condition.
• Online Access: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4932

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and an exponentially accelerate plate where no slip hypothesis between the burgers’ fluid and an exponential plate is no longer valid.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.