Analysis of Non-Linear Radiation and Activation Energy Analysis on Hydromagnetic Reiner–Philippoff Fluid Flow with Cattaneo–Christov Double Diffusions

Mohamed E. Nasr, Machireddy Gnaneswara Reddy, W. Abbas, Ahmed M. Megahed, Essam Awwad and Khalil M. Khalil
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Mohamed E. Nasr: Department of Mathematics, College of Science and Arts—Gurayat, Jouf University, Sakakah 77454, Saudi Arabia
Machireddy Gnaneswara Reddy: Department of Mathematics, Acharya Nagarjuna University Campus, Ongole 523 001, India
W. Abbas: Basic and Applied Science Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, Cairo 11511, Egypt
Ahmed M. Megahed: Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt
Essam Awwad: Department of Mathematics, College of Science and Arts—Gurayat, Jouf University, Sakakah 77454, Saudi Arabia
Khalil M. Khalil: Department of Mathematics, College of Science and Arts—Gurayat, Jouf University, Sakakah 77454, Saudi Arabia

Mathematics, 2022, vol. 10, issue 9, 1-18

Abstract: Using magnetohydrodynamics (MHD), the thermal energy and mass transport boundary layer flow parameters of Reiner–Philippoff fluid (non-Newtonian) are numerically investigated. In terms of energy and mass transfer, non-linear radiation, Cattaneo–Christov double diffusions, convective conditions at the surface, and the species reaction pertaining to activation energy are all addressed. The stated governing system of partial differential equations (PDEs) is drained into a non-linear differential system using appropriate similarity variables. Numerical solutions are found for the flow equations that have been determined. Two-dimensional charts are employed to demonstrate the flow field, temperature and species distributions, and rate of heat and mass transfers for the concerned parameters for both Newtonian and Reiner–Philippoff fluid examples. The stream line phenomenon is also mentioned in this paper. A table has also been utilized to illustrate the comparison with published results, which shows that the current numerical data are in good accord. The findings point to a new role for heat and mass transfer. According to the findings, increasing values of solutal and thermal relaxation time parameters diminish the associated mass and thermal energy layers. The current study has significant ramifications for chemical engineering systems.

Keywords: Cattaneo–Christov double diffusions; non-linear radiation; activation energy; convective conditions; Reiner–Philippoff fluid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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