THERMOPHORESIS AND BROWNIAN MOTION EFFECTS ON INCLINED MHD NANO-FLUID FLOW WITH MULTI SLIP CONDITION

Abstract

The current study focuses on the analysis of free convection flow of MHD Nano-fluid in the presence of magnetic fields. Various physical parameters such as thermal radiation, thermophoresis, Brownian motion, chemical reaction, and gyrotactic micro motile organisms are taken into account on a continuous stretching of a two-dimensional sheet. The governing equations are formulated as systems of PDEs, which are then transformed into a dimensionless system of ODEs using similarity transformation. The appropriate HAM method is utilized to solve the governing problems and the results for velocity, temperature, concentration, and Micro Organism profiles are obtained. The impacts of different physical parameters are illustrated through graphs. The numerical values for Skin friction, Temperature gradient, Concentration gradient, and Micro motile number are presented in tabular form. The findings indicate that the inclination parameter and Magnetic field parameter tend to decrease the fluid motion, while the heat transfer process enhances with thermophoresis and Brownian motion. This study has significant implications in various fields such as heat control systems, food factories, thermal exchangers, biomechanics, biomedical engineering, and aero dynamical systems.