Numerical Examination on Impact of Hall Current on Peristaltic Flow of Eyring-Powell Fluid under Ohmic-Thermal Effect with Slip Conditions

Author:

Abdeljawad Thabet123ORCID,Sohail Muhammad4ORCID,Yasin Maria4,Hina Sadia5,Naz Rahila4ORCID

Affiliation:

1. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia

2. Department of Medical Research, China Medical University, Taichung, Taiwan

3. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

4. Department of Applied Mathematics and Statistics, Institute of Space Technology 2750, Islamabad 44000, Pakistan

5. Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan

Abstract

Aims:: This article is intended to investigate and determine the combined impact of Slip and Hall current on Peristaltic transmission of Magneto-hydrodynamic (MHD) Eyring- Powell fluid. Background: The hall term arises, taking strong force-field under consideration. Velocity, thermal, and concentration slip conditions are applied. The energy equation is modeled by considering the Joule-thermal effect. To observe the non-Newtonian behavior of the fluid, the constitutive equations of Eyring-Powell fluid are encountered. Objective: Flow is studied in a wave frame of reference traveling with the wave's velocity. The mathematical modeling is done by utilizing adequate assumptions of long wavelength and low Reynolds number. Method: The closed-form solution for momentum, temperature, and concentration distribution is computed analytically using the regular perturbation technique for the small fluid ter(A). Results: Graphical results are presented and discussed in detail to analyze the behavior of sundry parameters on flow quantities (i.e., velocity, temperature, and concentration profile). It is noticed that Powell-Eyring fluid parameters (A,B) have a significant role in the outcomes. Conclusion: The fluid parameter A magnifies the velocity profile, whereas the other fluid parameter B shows the opposite behavior.

Publisher

Bentham Science Publishers Ltd.

Subject

Pharmaceutical Science,Biomedical Engineering,Medicine (miscellaneous),Bioengineering,Biotechnology

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