Thermodynamic feature of PHF and PST with Sisko fluid flow over a Riga curved stretching surface

Thermal analysis is carried out on the flow of Sisko fluid over Riga curved stretching sheet in the presence of Lorentz force and heat energy application. Heat transmission is supported by considering Prescribed Heat Flux (PHF) and Surface temperature (PST). This study explores the role of fluids in solving various bioengineering problems and opportunities for clinical measures to treat blood-related diseases. It has been concluded that medical science requires the Sisko model to be explored in understanding blood transfusion problems. Mathematical modeling yields complex partial differential equations, which are transformed into ordinary differential equations via appropriate transformations. The outcome of these parameters is observed and explored for the best match that suits our defined boundary conditions. Numerical solutions are obtained using the Matlab function bvp4c, setting default tolerance for better approximate solutions. Impacts of associated parameters on various profiles are elaborated with tables and graphs. Temperature (PST) reduces by enrichment in Pr. A higher Prandtl number indicates that temperature disturbances spread more slowly through the fluid. This means that the temperature near the surface takes longer to reach equilibrium with the bulk fluid temperature, leading to a decrease in the surface temperature. The temperature (PHF) become declines by enlarging values of Pr. The Prandtl number determines the ratio of momentum diffusivity to thermal diffusivity. A higher value of Prandtl number indicates lower thermal diffusivity, which can result in a thicker thermal boundary layer.