Document Type : Research Paper

Authors

• Kashif Ali Abro ¹
• Mirza Mahmood Baig ¹
• Mukruram Hussain ²

¹ Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan

² Institute of Space Technology, Karachi, Pakistan

Abstract

This communication influences on magnetohydrodynamic flow of viscoelastic fluid with magnetic field induced by oscillating plate. General solutions have been found out for velocity and shear stress profiles using mathematical transformations (Integral transforms). The governing partial differential equations have been solved analytically under boundary conditions u(0,t)=A_0 H(t)sinΩt and u(0,t)=A_0 H(t)cosΩt with t≥0. For the sake of simplicity of boundary conditions are verified on the analytical general solutions and similar solutions have been particularized under three limited cases namely (i). Maxwell fluid with out magnetic field if γ≠0,M=0 (ii). Newtonian fluid with magnetic field if γ=0,M≠0 and (iii). Newtonian fluid with out magnetic field if γ=0,M=0. Finally various physical parameters with variations of fluid behaviors are analyzed and depicted graphical illustrations.

Keywords

• MHD Maxwell fluid
• Laplace and Fourier transforms
• rheological Parameters