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

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.

Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium

“…More comparatively, the present study generalizes many studies, including the integer-order derivative versions of the models considered in [4,6,7]. Moreover, the employed numerical scheme which doubly serves as a semi-analytical method competes with so many methods in the literature, including [28][29][30][31][32][33][34][35][36][37]; while some known robust integration schemes that happen to contend with the two analytical methods of interest in tackling different class of evolution equations include [38][39][40][41][42][43].…”

“…Therefore, for k = 0.61, c = 0.25, d 1 = 1, and d 1 = − 1, we give the three-dimensional (3D) plots for the solution given in equations(33) and(35), respectively, of the coupled homogeneous Burger's equation via the application of the METEM in figures 1 and 2, sequentially. Specifically, the solutions given in equations(33) and (32) are dark-singular solutions; while those reported in equations(34) and (35) are singular periodic solutions. (ii) KM With M 1 = 1, and M 2 = 1, equation (25) via the application of the KM admits the following solution…”

Significance of the inclined magnetic field on the water-based hybrid nanofluid flow over a nonlinear stretching sheet

“…Asjad et al [29] explored the significance of activation energy on Williamson MHD fluid flow on an exponentially stretching surface using bioconvective, thermally radiative effects. Nasr et al [30] analyzed nonlinearly radiated MHD fluid flow with Cattaneo-Christov double diffusion and activation energy effects and exposed that the mass as well as thermal diffusions have diminished with upsurge in thermal relaxation time and solutal factors. Abdal et al [31] explored MHD stretched Williamson Maxwell nanoparticles flow on a permeable surface using bioconvection and activation energy on fluid flow system.…”

Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring-Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect

“…The understanding of the heat generation/absorption effect of boundary layer flow is also crucial in different fields of study and applications. Owing to this, a lot of scholars [33][34][35] conducted a study on the heat generation effect on boundary layer flow and heat transfer due to different non-Newtonian fluids. The study of the boundary layer flow of the Eyring-Powell fluid over a stretching surface plays a vital role in industrial applications.…”