Hydromagnetic Peristaltic Transport of Variable Viscosity Fluid with Heat Transfer and Porous Medium

Authors

F. M. Abbasi, Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan.\\ Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.Follow
T. Hayat, Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.\\ Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.Follow
B. Ahmad, Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.\\ Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.Follow

Author Country (or Countries)

Pakistan.

Abstract

This article examines the peristaltic transport of variable viscosity fluid in a planar channel with heat transfer. The fluid viscosity is taken temperature dependent. The fluid is electrically conducting in the presence of a constant applied magnetic field. Both channel and magnetic field possess the inclined considerations. An incompressible fluid saturates the porous space. Heat transfer analysis is carried out in the presence of viscous dissipation and Joule heating. The resulting problems are solved numerically. A parametric study is performed to predict the impact of embedded variables. Results indicate that the fluid with variable viscosity has higher value of pressure gradient compared with that of constant viscosity fluid. Size of the trapped bolus increases with an increase in viscosity and permeability parameters. Constant viscosity fluid possesses lower velocity near the center of channel when compared with variable viscosity fluid. Effects of porous medium on pressure gradient and velocity are qualitatively similar.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100619

Recommended Citation

M. Abbasi, F.; Hayat, T.; and Ahmad, B. (2016) "Hydromagnetic Peristaltic Transport of Variable Viscosity Fluid with Heat Transfer and Porous Medium," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 19.
DOI: http://dx.doi.org/10.18576/amis/100619
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/19