Numerical investigation of transverse hyperbolic nano fluids flow with motile micro-organisms using the Cattaneo-Christov model

Abstract

This paper elaborates the influence of two-dimensional (2D) in magnetohydrodynamics (MHD) stagnation point flow over a stretchable surface in the presence of Cattaneo-Christov (CC) double diffusion. Viscous dissipation and thermal radiation impacts are considered in energy equation. While mass transport is perceived considering the impact of a chemical reaction. Motile micro-organisms are implicated in the flow and movement of these microscopic organisms due to the bio-convection phenomenon. MATLAB software is used to handle mathematical problems. Using similarity variables, mathematical equations based on the laws of conservation are transformed into ordinary differential system. The consequential ordinary differential equations (ODEs) are numerically analyzed for a range of flow parameters to evaluate their effects on velocity, concentration, heat transport rate and density of microbes. A comparison is conducted to evaluate the proficiency of the code. The mathematical findings are illuminated using diagrams and tables. The main findings of this study are that velocity profile reduces for Casson parameter; however, temperature distribution is enhancing for Eckert number. Nanoparticle concentration and motile organism is reducing for chemical reaction parameter and motile difference parameter respectively.

Keywords

• Casson fluid
• Motile micro-organisms
• Cattaneo-Christov model
• Stagnation point
• Heat generation
• MHD