Thermal-hydrodynamic analysis of a Maxwell fluid with controlled heat/mass transfer over a Riga plate: A numerical study with engineering applications

A comprehensive analysis of the combined effects of several significant parameters on the hydrodynamic behavior of a Maxwell fluid over a Riga plate placed in a Darcy porous medium is reported here. Thus the analysis emphasizes the insight primarily on the aspects of energy transfer and fluid motion stability in the system to provide useful implications as an executive means for engineering applications. Practical applications stemming from this work may include enhancements to geothermal power generation, increased efficiency in oil extraction and advancements in MHD pumping systems. Further, through this research and except at the ambient, both the fluid's viscosity and its thermal conductivity were considered as temperature-dependent properties. While many studies overlook the significant role of convective heat and mass transfer, despite its relevance in some of usable applications. This research treats this gap by considering these phenomena into the model. Due to the model's inherent highly non-linearity, an exact analytical solution proved impossible. Therefore, a numerical procedure using the shooting method was employed, and the computations were performed using MATHEMATICA. Findings reveal that the Maxwell fluid exhibits a highly velocity distribution when Hartmann number is raised and the porous parameter as well as the slip velocity parameter is reduced through the study highlighting the primary physical discoveries of enhanced electromagnetic control and a decrease in the system's flow resistance. The homotopy perturbation method was employed for two key purposes in this work. Firstly, solving the equation of motion at some special cases. Secondly, validating the shooting method's results. • Maxwell fluid flow over a Riga plate is analyzed with variable properties. • Shooting and HPM methods confirm enhanced velocity behavior.