Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects

Abstract

In the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the x direction, the flow occupies the region y > 0 . MHD, radiation, joule heating effects, and thermal relaxation time are all used to represent the flow scenario. The emergent problem is represented using PDEs, which are then converted to ODEs using appropriate similarity transformations. The converted problem is solved numerically using the SLM method. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of K changes through SLM, introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. Additionally, the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer and the temperature, but the Eckert number E c is the opposite. As E c grows, the temperature within the channel increases.

Effects of chemical reactions on the flow of Eyring-Powell nanofluids at different viscosities on a porous stretch sheet

“…The formation other than the non-Newtonian fluids, this model has few benefits as of simple calculation and physical vigor. Salah et al 1 discussed the effects of chemical reaction for a generalized heat flux model for Eyring-Powell fluid along with the effect of the radiation. The effects of radiation and chemical reaction on unsteady Eyring-Powell nanofluid flow over a moving surface are disused by Taraka ramu and Narayana 2 .…”

Numerical solution for MHD Flow of an Oldroyd–B fluid over a stretching sheet in the presence of thermophoresis with chemical reaction effects

“…By employing the Bvp4c method, Paul and Das (2023) studied a two-dimensional stable issue that integrates the magnetohydrodynamic effect with three separate flows of fluid from the boundary layer across an exponentially stretched sheet under the impact of thermal radiation and chemical reactions. There are some interesting contributions to chemical reactions in the literature (Khan et al, 2022;Salah, 2022;Sidahmed and Salah, 2022;.…”

Flow Dynamics of Eyring–Powell Nanofluid on Porous Stretching Cylinder under Magnetic Field and Viscous Dissipation Effects

“…Their analysis revealed that the thermal stratification parameter and Cattaneo-Chiristov time relaxation dampen the distribution of fluid temperature. Salah [8] examined the flow and heat transfer of dissipative and chemically reacting MHD Eyring-Powell fluid past a sheet that stretches in an exponential manner under non-Fourier's model. This examination revealed that the thermal relaxation time and the Eyring-Powell fluid parameter are inversely related to the temperature profile while the Eckert number indicates an increasing effect on the temperature profile.…”