Thermal analysis of non-Newtonian ferro nanofluid flow due to stretching surface under buoyancy effects through numerical computation

The extent of buoyancy forces on Tangent Hyperbolic nanofluid flow over a vertically held stretchable plate in the presence of a magnetic field is mathematically modeled in this work. The governing partial differential equations that model the present problem are modified into a system of ordinary differential equations by practicing a set of suitable similarity conversions. This conversion method helps to solve this complex problem through a numerical technique. The outcomes of available research are compared with the existing literature and a reasonable accord is set. Detailed analysis on assisting and opposing flow problems is considered with graphical illustrations of multiple flow parameters. In both cases of assisting and opposing flow problems, a declining impact of buoyancy forces is observed on skin friction owing to temperature deviation. Moreover, higher convection is observed for assisting flow problems as compared to opposing flow under buoyancy impacts. It is further noticed that upon increasing the relaxation time of the fluid, the fluid flow is decelerated and the less cooling effect is generated in this case.