Impact of Eyring-Powell Fluid Flow with MHD and Gyrotactic Microorganisms on a Permeable Stretching Sheet

Madhavi, M. Radha; Sravanthi, P.Madhu

doi:10.24271/psr.2024.462397.1627

Impact of Eyring-Powell Fluid Flow with MHD and Gyrotactic Microorganisms on a Permeable Stretching Sheet

Document Type : Original Article

Authors

M. Radha Madhavi ¹

P.Madhu Sravanthi ²

¹ Department of Mathematics, Koneru Lakshmaiah Education Foundation, Guntur, AP, 522502, India

² Department of Mathematics, Koneru Lakshmaiah Education Foundation, Guntur, AP, 522502, India.

10.24271/psr.2024.462397.1627

Abstract

This article’s main aim is to explore the impact of Eyring-Powell fluid flow on gyrotactic microorganisms over a stretched sheet, considering the incidence of chemical reactions and porous media. By employing the similarity variable technique, the PDEs are converted into ODEs. The variations in velocity, high temperature, concentration, and motility distributions are exemplified through graphical representations. These results are achieved using the Runge-Kutta-Fehlberg method with a shooting strategy implemented in MATLAB. Numerical values for the Sherwood number, the skin friction coefficient, the motile density number, and the Nusselt number are presented in tabular form. The study provides a comprehensive analysis of the interaction between fluid dynamics and microorganism behavior. Additionally, it offers insights into optimizing industrial and biomedical applications involving such complex fluid flows.

Keywords

Brownian motion

Prandtl number

Schmidt number

Permeable Medium and Motility distributions