Darcy-Forchheimer flow of dusty tangent hyperbolic fluid over a stretching sheet with Cattaneo-Christov heat flux

Abstract

The current investigation explores the impact of Darcy-Forchheimer flow and Cattaneo-Christov heat transfer of dusty tangent hyperbolic fluid over a stretching sheet. The problem of the model is represented by highly nonlinear partial differential equations which are deduced by using suitable approximations (boundary layer). The governing equations prevalent in the current problem escorted with boundary conditions are transformed into nonlinear coupled ordinary differential equations using proper similarity variables. These equations are further resolved numerically using Runge–Kutta-Fehlberg-45 method. The impacts of various parameters on velocity and temperature profiles have been depicted through graphs and the salient features have been discussed in detail. Furthermore, the numerical values of skin friction coefficient and local Nusselt number are also presented in the form of graphs and tables. It is observed that, the higher values of Prandtl number () reduce the temperature profile for both fluid and dust phases. In addition, the larger values of radiation parameter produce additional heat to operating fluid that shows associate enhancement within the temperature profile.