DARCY–FORCHHEIMER FLUID FLOW OVER STRETCHABLE ROTATING DISK MOVING UPWARD/DOWNWARD WITH HEAT SOURCE/SINK

The current model describes the Darcy–Forchheimer fluid flow over a rotating disk, stretching in the radial direction along with its vertical movement with constant velocity. The heat source/sink is incorporated in the energy equation to examine heat transfer. The governing boundary layer approximated equations are converted into a suitable set of differential equations to numerically study them via the Runge–Kutta–Fehlberg fifth-order scheme in Maple software. Graphical plots have been drawn to stimulate the effects of pertinent parameters like Forchheimer number (fr), porosity parameter (λp), stretching parameter (sp), Prandtl number (Pr), and heat source (δ) on velocity and temperature fields. It is noted that vertical movement of the disk, along with radial stretching, has a significant impact as radial velocity increases and temperature declines with the stretching parameter, with a more positive effect in the case of vertical motion of the disk. This feature plays a vital role in cooling the engineering systems. Further, local skin friction coefficients decrease with Forchheimer number and porosity parameter, while stretching increases the Nusselt number with an opposite trend in the case of heat source. The current model is calibrated in its reduced form to an already-published literature, with good correlation to ensure the numerical scheme’s validity. © 2022 by Begell House, Inc.