Numerical simulation of magneto-hydrodynamic fluid flow with heat sink, chemical diffusion and Powell Eyring fluid behavior using Cattaneo–Christov source term

Abstract

The aim of this study is to investigate the impact of magneto hydrodynamic Powell–Eyring fluid on double-diffusive phenomena, with a specific focus on employing the Cattaneo–Christov model. The purpose is to enhance the study's scope by incorporating a heat sink and chemical reactions, thereby analyzing the intricate interplay between heat transfer and chemical processes within the MHD fluid system. To achieve this aim, the study utilizes similarity variables to convert PDEs into ODEs. The primary objective is to gain insights into mass and heat transmission dynamics, placing a particular emphasis on understanding the influence of chemical reactions in the system. For numerical solutions during the analysis, MATLAB's BVP4C solver and the shooting technique are employed. The research further aims to explore various physical constraints, including the fluid Nusselt number and skin friction coefficient. By doing so, the study provides a comprehensive understanding of how the MHD fluid system responds to different conditions. The notable outcomes, presented through graphical representations and tables, include a discernible decrease in fluid velocity with a higher magnetic field parameter and an observable increase in fluid temperature with greater heat source constraints. In summary, this exploration subsidizes significantly to our considerate of complex fluid behavior and holds practical applicability in various scientific and engineering contexts. The novel and physical insights from the study offer valuable understanding into the impact of magneto hydrodynamic Powell–Eyring fluid, particularly concerning double-diffusive phenomena and the intricate interplay between heat transfer and chemical processes.

Keywords

• Cattaneo Christov
• Powell Eyring fluid
• Porous media
• Heat sink
• Chemical diffusion