International Journal of Nonlinear Analysis and Applications

Influence of inclined magnetic field and heat transfer on peristaltic transfer Powell-Eyring fluid in asymmetric channel and porous medium

Document Type : Research Paper

Authors

Department of Mathematic, University of Baghdad, Baghdad, Iraq

Abstract

Peristaltic motion of a magnetohydrodynamic Powell-Eyring fluid in an asymmetric channel with porous walls. medium is investigated in the present study. The modeling of Mathematic is created in the presence of a stable inclined magnetic field and the angle with the vertical axis can be made, using constitutive equations following the Powell-Eyring fluid model. In flow analysis, assumptions such as long wave length approximation and low Reynolds number are utilized. Closed form formulas for the stream function and mechanical efficiency are created. On the channel walls, pressure rise per wave length has been calculated numerically. The effects of the Hartman number (Ha), Darcy number (Da), material fluid (A), inclination of magnetic field ($ \beta $), porous media parameter (w), amplitude ratio($ \emptyset $), pumpinh, The effects of the magnetic field's inclination on axial velocity and entrapment are investigated in detail and graphically shown.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 631-642
  • Receive Date: 02 January 2022
  • Revise Date: 20 February 2022
  • Accept Date: 18 March 2022