Response surface methodology simulations for thermal radiative heat and mass transfer in an inclined rectangular cavity by Oseen-Linearization approach

Abstract

An inclined rectangular cavity represented as a two-dimensional rectangular enclosure is inclined relative to a heat source or its surroundings, and thermal radiation occurs within this cavity. The surface’s temperature and emissivity determine the amount of radiation released. Understanding such systems is crucial in applications comprising solar energy collection, heat control in electronics, and furnace designs. With the help of response surface methodology, the heat transmission rate is assessed. Through natural convection, the action of thermal radiation in an inclined enclosure allows mass and heat transfer to be examined analytically, assuming the fluid is Newtonian. This work investigates the analytical procedure that makes use of boundary layer computation and the Oseen linearization approach. There is an Oseen-linear solution for the rectangular tilted cavity containing a mix of arbitrary buoyancy ratios. The findings show that an increase in radiation raises velocity. This suggests a linear vertical stratification in the inner core and a sharp decline in temperature and concentration. As the buoyancy ratio increases, the tilt angle’s impact on Nusselt and Sherwood values shows that concentration and heat effects predominate. As the Rayleigh number and radiation parameter are raised, these figures peak. The steady-state Nusselt and Sherwood values become closer to the conduction value from every direction when the radiation intensity is sufficiently high.