The effect of magnetic field on heat and mass transfer in an inclined cavity with thermal radiation

The principles of heat and mass transfer are crucial in comprehending thermal and mass transport in engineering and scientific applications extending from mechanical, chemical, aerospace, civil and environmental disciplines. The current research used the Oseen linearisation approach in conjunction with boundary-layer analysis to examine convection inside a tilted rectangular enclosure characterised by a mixed buoyancy ratio. The research presents an Oseen-linear solution model that utilises a response surface approach to clarify and enhance the influence of key factors on heat transfer efficiency. The results show that stronger radiation effects slow the fluid and lower its temperature and concentration, making the core linearly stratified. The radiation parameter, which increases the temperature and concentration profiles, has a significant impact on how the inclination angle affects the Nusselt and Sherwood numbers. The transfer rates reach their maximum values at high Rayleigh and high radiation parameters, while under strong radiative impact, the steady-state Sherwood and Nusselt numbers approach their conductive values, regardless of inclination angle.