A Mathematical Analysis of Magnetohydrodynamic Generalized Burger Fluid for Permeable Oscillating Plate

Abstract

In this article, the mathematical analysis for an electrically conducting flow of generalized fractional Burgers’ fluid with permeable
oscillating plate is investigated. The integral transformation approach is utilized for tracing out the analytical solutions of velocity field and shear stress with and without magnetic field and porosity. The general solutions have been expressed in terms of product of Gamma functions and Fox-H function satisfying imposed conditions. The obtained solutions have been particularized for several limiting cases, such as (i) the solutions are retrieved in the absence of magnetic field, (ii) the solutions are retrieved in the absence of permeability, (iii) the solutions are retrieved ordinary differential operator, (iv) the solutions are particularized for fractional Burger, fractional Oldroyd-B, fractional Maxwell fluid and fractional Newtonian fluids . Finally in order to highlight the similarities and differences among various rheological parameters, the graphical illustration has been depicted for fluid flows.