Thermophoresis and Brownian Movement Impact on Maxwell Fluid Flow Over Permeable Stretching Sheet with Variable Magnetic Field

This study explores the effects of thermophoresis and Brownian movement on the movement of Maxwell fluid across a permeable surface under a variable magnetic field, enhancing efficiency in various engineering systems. The present work analyses the magnetic field and porous media impact in momentum and thermophoresis and Brownian motion impact in mass transfer analysis; the considered PDEs are transformed to ODEs utilising similarity terms; numerical BVP4c shooting method is utilised to solve ODEs; findings of the present analysis reveals that enhancing the MHD and porous media decays the velocity, increasing the solar radiation and heat absorption enhances the energy, thermophoresis enhances the temperature and concentration, and enhancing Brownian motion decreases the concentration and enhances the temperature. The present study has many useful applications in in industrial cooling, biomedical engineering, and nanofluid dynamics. The findings contribute to optimizing heat and mass transfer processes.