Effects of Slip Velocity and Hall Currents on Peristaltic Transport of Bingham-Papanastasiou Fluid with Heat Transfer

Authors

Nabil T. M. Eldabe, Mathematics Department, Faculty of Education, Ain-Shams University, Cairo, EgyptFollow
Amira S. A. Asar, Mathematics Department, Faculty of Arts & Science, Prince Sattam Bin Abdulaziz University, Wadi Adwassir, Saudi Arabia\\Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, EgyptFollow
Hameda M. Shawky, Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper , we study the effects of slip boundary condition and Hall currents on peristaltic motion of a non-Newtonian fluid which follows Bingham-Papanastasiou model, with heat transfer taking into account the thermal radiation and heat generation, through an asymmetric channel. This phenomena is modeled mathematically by a system of governing equations which are continuity, momentum and heat equations. These equations are solved analytically under low Reynolds number condition and long wavelength approximation. The stream function and temperature distribution are obtained as functions of physical parameters of the problem. The effects of the parameters on these solutions are discussed numerically and illustrated graphically through a set of figures. It is found that the physical parameters have important roles to control the velocity and temperature distribution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140104

Recommended Citation

T. M. Eldabe, Nabil; S. A. Asar, Amira; and M. Shawky, Hameda (2020) "Effects of Slip Velocity and Hall Currents on Peristaltic Transport of Bingham-Papanastasiou Fluid with Heat Transfer," Applied Mathematics & Information Sciences: Vol. 14: Iss. 1, Article 4.
DOI: http://dx.doi.org/10.18576/amis/140104
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss1/4