Analysis of Cattaneo–Christov heat flux and thermal radiation on Darcy–Forchheimer flow of Reiner–Philippoff fluid

Author:

Rehman M. Israr Ur1,Chen Haibo1,Hamid Aamir2,Guedri Kamel34

Affiliation:

1. School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China

2. Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh 12500, Azad Kashmir, Pakistan

3. Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al Qura University, P.O. Box. 5555, Makkah 21955, Saudi Arabia

4. Research University Materials, Energy and Renewable Energies, Faculty of Science of Gafsa, University of Gafsa, Gafsa 2100, Tunisia

Abstract

The non-Newtonian liquid scheme is created to address the limitations of the classical (Newtonian) scheme in terms of accurately reflecting real-world fluid flow behavior in industrial applications and improving operational efficiency. The Reiner–Philippoff model, one of the many extant models, modeling non-Newtonian fluids, is of concern because it only captures a few features in some circumstances. Thus, this study aims to investigate the theoretical aspects of Cattaneo–Christov for heat diffusion fusion of Reiner–Philippoff liquid stream in the presence of Darcy–Forchheimer media. Furthermore, the procedure of heat transport is taken out in the occurrence of nonlinear heat radiative, viscous dissipation and Ohmic heating. The partial derivatives of nonlinear differential equations are changed into similarity equations of a certain form by using appropriate similarity transformations. Furthermore, the Runge–Kutta–Fehlberg method with shooting approach is utilized to solve the dimensionless model. The influence of pertinent fluid flow parameters is illustrated graphically. The further engineering curiosity of a local Nusselt number is illustrated and analyzed. It is found that velocity curve is boosted with the augmenting scales of Reiner–Philippoff liquid parameter and Forchheimer number. Further, it is analyzed that increasing the thermal relaxation parameter and Eckert number reduces the heat transport rate at the surface.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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