Abstract
The thermo-dynamical modeling is a powerful tool for predicting the optimal melting of heat transfer; this is because there is a good correlation between numerical and analytical heattransfers via thermodynamic predicted results. A mathematical model is constructed underflow of a non-Newtonian (Reiner-Philippoff) fluid based on certain assumptions. Such mathematical model flow is handled by invoking similarity solutions for governing equations. The obtained system of nonlinear equations is solved numerically by utilizing fourth-fifth order Runge-Kutta-Fehlberg method. The consequences of distinguished parameters onfluid flow are analyzed in details through the plotted graphic visuals. Physical quantities are also considered numerically by tables. The claimed results reveal that the velocity profile reduce due to Forchheimer parameter and porosity parameter. The growing nature of temperature field is observed against temperature ratio parameter. The numerical values of local Nusselt number decline with radiation parameter and surface heating parameter. The obtained results presents novel role in the heat transfer phenomenon, electronic cooling, microheat pipes, electronic cooling, reaction processes, nuclear reactors etc.