Mathematical Study of Flow Over a Porous Medium Using Darcy-Brinkman Model

Abstract

This work examines the Darcy--Brinkman flow over a stretching sheet, considering the influences of frictional heating and porous dissipation. The governing equations are obtained and streamlined via boundary layer approximations, subsequently converted into a series of self-similar equations via appropriate similarity transformations. The fourth-order Runge-Kutta method and MATLAB's built-in solver bvp4c are used to numerically solve these nonlinear equations under both velocity and thermal slip conditions. The results from certain limiting circumstances were checked against what is already known in the literature, and they matched up very well. The impact of several parameters on essential flow properties is examined, with results displayed in tables and graphical representations.