Numerical study of hall current and thermophoresis effect on the hydromagnetic casson nano fluid flow over a stretching surface

Abstract

This study investigate, the numerical analysis of heat and mass transfer in Hydro magnetic Casson Nano particle flow past  a stretching surface by including the effect of Hall current, thermophoresis and inclined magnetic field. The governing partial differential equations are transformed into nonlinear ordinary differential equations through similarity transformations and then solved by using the MATLAB inbuilt bvp4c method.The variations due to the key parameters occurring in  the governing mathematical formulations on temperature, rate of flow and concentration profile are presented graphically and the variations in the primary attributes of the  flow field namely, skin friction,Sherwood  and Nusselt number are presented through a table. The outcomes of the analysis show that the Hall current parameter $(m)$ increases the transverse velocity while it decreases the temperature and nanoparticle concentration. On the other hand increasing magnetic field parameter $(M)$ enhance the nanoparticle concentration and it decreases the tangential and transverse velocities. The thermophoresis parameter $(Nt)$ results in increasing the temperature and concentration profile.  The inclination angle $(\gamma)$ with the vertical axis reduces the velocity profiles. The analysis provides a valuable insight in optimizing the transport of heat and mass in hydro magnetic Casson Nano fluid flow systems which will find applications in advanced cooling and thermal management technologies.