Thermophoretic MHD Flow and Non-linear Radiative Heat Transfer with Convective Boundary Conditions over a Non-linearly Stretching Sheet

TL;DR

This paper investigates the combined effects of thermophoresis, magnetic field, non-linear thermal radiation, and convective boundary conditions on flow and heat transfer over a non-linearly stretching sheet, using similarity transformations and numerical methods.

Contribution

It introduces a comprehensive model incorporating thermophoresis, magnetic effects, and non-linear radiation with convective boundary conditions, solved via advanced numerical techniques.

Findings

Thermophoretic parameter significantly influences temperature and concentration profiles.

Chemical reaction parameter affects flow and heat transfer characteristics.

Results align well with existing literature, validating the model.

Abstract

The effects of MHD boundary layer flow of non-linear thermal radiation with convective heat transfer and non-uniform heat source/sink in presence of thermophortic velocity and chemical reaction investigated in this study. Suitable similarity transformation are used to solve the partial ordinary differential equation of considered governing flow. Runge-Kutta fourth fifth order Fehlberg method with shooting techniques are used to solved non-dimensional governing equations. The variation of different parameters such as thermophoretic parameter, chemical reaction parameter, non- uniform heat source/sink parameters are studied on velocity, temperature and concentration profiles, and are described by suitable graphs and tables. The obtained results are in very well agreement with previous results.