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.
Kashif Ali Abro, Mukarrum Hussain, Mirza Mahmood Baig. (2018) A Mathematical Analysis of Magnetohydrodynamic Generalized Burger Fluid for Permeable Oscillating Plate, Punjab University Journal of Mathematics, Volume 50, Issue 2.
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