Transportation of fluid with seepage and stretching wall in a rotating channel filled with a porous medium

Rotating channels represent intricate geometries that are vital in many engineering applications, such as the design of blood flow simulators, advanced filtration systems, and chemical reactors. This study examines the three-dimensional Darcy–Brinkman flow of a viscous fluid through a rotating porous channel, incorporating the combined effects of channel permeability, wall suction, and Coriolis forces. A similarity transformation is applied to reduce the governing Darcy–Brinkman equations into a system of ordinary differential equations, which are then solved analytically. The velocity fields in the streamwise, lateral, and secondary directions are obtained, along with the associated pressure distribution and streamline patterns. The analysis reveals that the Darcy number, rotation parameter, and suction parameter play competing roles in shaping the velocity structure: higher Darcy numbers enhance drag and suppress velocity magnitudes, rotation induces oscillatory behavior through the Coriolis force, and suction modifies the velocity gradients near the wall. Graphical results highlight the sensitivity of skin friction, stream function, and pressure distribution to these governing parameters. The findings provide a comprehensive understanding of the interplay between porous resistance, suction effects, and rotational motion in determining the overall transport characteristics of fluid flows through porous channels.