Magnetohydrodynamic Peristaltic Flow of Jeffry Nanofluid with Heat Transfer Through a Porous Medium in a Vertical Tube

Authors

Nabil T. M. El-dabe, Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, 11757, Egypt.Follow
Mohamed Y. Abou-zeid, Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, 11757, Egypt.Follow
Yasmeen M. Younis, Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, 11757, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

The present paper deals with the peristaltic motion of a non-Newtonian nanofluid with heat transfer through a porous medium inside a vertical tube. The system is stressed by a uniform magnetic field. The viscous dissipation, internal heat generation with radiation effects are considered. A Rung-Kutta-Merson method and a Newton iteration in a shooting and matching technique are used to find the solutions of the momentum, temperature and nanoparticles equations. The numerical formula of the axial velocity, temperature and nanoparticles are obtained as functions of the physical parameters of the problem. Numerical calculations are carried out for these formula. The effects of physical parameters of the problem on this formula are discussed numerically and illustrated graphically througth a set of figures.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110416

Recommended Citation

T. M. El-dabe, Nabil; Y. Abou-zeid, Mohamed; and M. Younis, Yasmeen (2017) "Magnetohydrodynamic Peristaltic Flow of Jeffry Nanofluid with Heat Transfer Through a Porous Medium in a Vertical Tube," Applied Mathematics & Information Sciences: Vol. 11: Iss. 4, Article 16.
DOI: http://dx.doi.org/10.18576/amis/110416
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/16