Effect of Brownian and thermophoresis motion on fluid flow with chemical reaction and heat transfer
Muhammad Amir, Muhammad Ramzan, Ahmad Shafique, Shajar Abbas, Abdullah Alhushaybari, Emad A. Az-Zo’bi, Yazen M. Alawaideh
Abstract
Significance: Studying the MHD flow of heat transport with chemical reaction over a plate offers insights crucial for optimizing heat transfer efficiency in engineering systems and advancing thermal management technologies. Purpose: The present article introduces the solution of heat flux on Magnetohydrodynamics Casson flow with multiple effects. Innovative results in the current study are obtained by utilizing the influence of diffusion of mass over a plate. Method: The Laplace transform method is used to solve the modeled partial differential equations once they have been transformed into dimensionless form. The application of Fick's and Fourier's laws allows the model to be simplified. A constant proportional Caputo derivative is used to fractionalize the issue. Algorithms are used to compare findings in order to verify their correctness. Results: The impacts of various parameters like magnetic field, thermophoresis parameter, chemical reaction R, Heat transfer, Brownian parameter, and Prandtl number, are discussed with various graphs. Furthermore, comparisons among fractionalized and ordinary velocity profiles are also studied. From the graphs, it is noted that the thermal Grashof number and thermophoresis parameter have an increasing effect on fluid whereas magnetic field and Brownian parameter have decreasing effect on velocity profile.