Developed by Koo and Kleinstreuter model, the time-dependent Blasius-Rayleigh-Stokes flow and melting heat transfer over a semi-infinite hot plate

The present study investigates a Blasius-Rayleigh-Stokes flow with melting heat transfer across a semi-infinite hot plate. The base fluid included SAE50 motor oil, and the nanoparticle was zinc oxide (ZnO). The similarity variable is used to convert the nonlinear differential equations to ODEs. The RKF-45 MATLAB algorithm is used to solve these nonlinear equations numerically. In order to demonstrate the effect of the many variables in the issue, the findings are shown visually. Different parameters on fluid velocity and energy profiles may be offered in graphs for the nanofluid phase (ZnO+SAE50) and the fluid phase, which show the effects on physical aspects of fluid behaviour. Measurements of physical properties are recorded and observed. With the addition of base fluid, the nanofluid (ZnO+SAE50) becomes more effective. Moreover, it is also observed that the higher $Ec$Ec values benefit from a boost from the temperature field. Additionally, the thickness of the momentum layer is lowered for values of $\omega $? that are rapidly rising. Greater $Pr$Pr is made possible by an increase in thermal layer thickness as a result of melting.