Analysis of Soret-Dufour theory for energy transport in bioconvective flow of Maxwell fluid

Abstract

The present research aims to investigate the effect of binary chemical reaction, thermophoretic velocity, Soret-Dufour, and Joule heating phenomena on the unsteady bio-convected Maxwell fluid flow. The flow is caused by a horizontal stretchable cylinder in the presence of a porous medium. The impact of Lorentz force on flow and heat transport is also investigated here. The whole phenomenon is modeled in the form of partial differential equations (PDEs) and this system is transformed into similar (ODEs) in view of flow similarity analysis. The numerical method (bvp4c) is utilized for the outcomes of temperature, concentration, and micro-organism distributions in the flow of Maxwell fluid. It is perceived that the porosity parameter enhances the temperature, concentration, and micro-organism profile. Bio-convected Peclet number declines the micro-organism profile. Moreover, the temperature field is the decreasing function of the higher thermophoretic parameter.

Keywords

• Maxwell fluid
• Thermophorectic velocity
• Stretchable cylinder
• Porous medium
• Soret-Dufour effect
• Bio-convection