Quadratic regression analysis of unsteady MHD free convective and radiative–dissipative stagnation flow of hybrid nanofluid over an exponentially stretching surface under porous medium

Abstract

In this research article, we have analyzed the unsteady MHD free convective stagnation point flow of hybrid nanofluid towards an exponentially stretching surface placed in a uniform porous medium with velocity slip, thermal radiation, Ohmic and viscous dissipations. A convective heating type condition at the surface boundary is incorporated into the system. The base fluid water (H2O) along with alumina (Al2O3) and copper (Cu) nanoparticles is chosen to stimulate the fluid flow. Such flow problem arises in several industrial and engineering processes including aerodynamic heating, polymer processing, etc. By utilizing appropriate similarity transformations, the resulting governing equations along with the boundary conditions are converted into dimensionless forms for numerical computations. For the simulation of transformed highly nonlinear ordinary differential equations, Runge–Kutta–Fehlberg method-based shooting technique is applied. The consequences of physical parameters on velocity and temperature distributions are explored via pictorial representations. The values of the local surface drag coefficient and local Nusselt number for all the implanted parameters are calculated at the boundary and presented through the tables. Further, a regression analysis is performed to estimate the local surface drag coefficient and local Nusselt number and the numerical data are presented in tabular form. Moreover, under some limiting conditions, a comparison of the present results with the available results has also been made and an excellent correlation is observed among the results.