Analytical Study on Unsteady Flow of a Hyperbolic Tangent Fluid in Existence of Porous Media of an Exponentially Stretched Sheet with Heat Transfer

The unsteady flow of a tangential hyperbolic fluid with temperature in the presence of a sublimation medium and an exponential surface was discussed in this article. The law of conservation of mass, energy, and momentum is essential to the model of matter. To make it easier to identify solutions, the partial equations were converted into ordinary equations. We refer to this approach as the homotopic method. To explain the results, the Mathematica program was used to find the solutions and graphically depict them. The impact of the parameters on velocity, temperature was discussed, which are Random motion factor (Nb), Thermo-migration factor (Nt), Lewis number (le), Unsteady factor (A), Prandtl number (pr), Weissenberg number (we), and porosity parameter (P). The results shown in the graphs indicate that an increase in medium porosity affects the flow dynamics. Specifically, it conduces to gain in the velocity f while reducing the secondary velocity g. In addition, the flow speed is influenced by the unsteady factor; as A increases, the flow velocity rises. However, without P, an increment in unsteady factor cause a decline in velocity. Furthermore, an increase in we correlates with a decrease in velocity, and a temperature rise. The results also reveal that increasing p r decreases the temperature, but when Nt, Nb increase, the temperature rises and reduces the rate of heat transfer. Conversely, temperature decreases as le increases. Moreover, temperature changes slightly as P increases.