Heat transfer and irreversibility analysis in porous vertical disk configuration with Navier slip, thermal jump and quadratic Radiation: Numerical study using Corcione's correlation

This study presents the Corcione correlation, emphasizing the effects of fluid temperature, particle volume fraction, and particle size on the improvement of nanofluid heat transfer rate. This study examines the stagnation point flow of a nanofluid consisting of ${Al}_2{O}_3/H_{2}O$ across a vertically extending or shrinking disk. The study is conducted for nanoparticle sizes of $28,30\text{,}$ and $45$ nm, with volume concentrations reaching up to 4 %. The Navier velocity slip and thermal slip conditions enhance the mathematical model. It also looks at the effects of magnetohydrodynamics, suction, porous media, Joule heating, quadratic thermal radiation, viscous dissipation, and the production of entropy. The bvp4c solver numerically solves the system of ordinary differential equations created by the similarity transformation of the partial differential equations. For both the stretching and shrinking scenarios, graphs and tables illustrate the effects of several relevant factors. In the event of stretching, the velocity profile exhibits a declining trend for the Navier slip parameter, porosity, magnetic field, and mass suction parameters; in the case of shrinking, however, the opposite behavior is seen. The temperature profile increases with the nanoparticle volume fraction, radiation, and temperature ratio factors in both scenarios. Both cases show an increase in entropy production for the brinkman number and a reduction in entropy generation for the temperature difference. Skin friction and Nusselt number are measured for dp = 28, 30, and 45 nm nanoparticle sizes. The Nusselt number is larger for dp = 45 nm than 28 nm and 30 nm, while skin friction is higher for 28 nm. There exists an almost perfect concordance (with a relative error of around 0 %) between the present and previous results.