Transient and non-Darcian effects on natural convection flow in a vertical channel partially filled with porous medium: analysis with Forchheimer-Brinkman extended Darcy model
An analysis of natural convective flow using a Forchheimer-Brinkman extended Darcy model in a vertical channel partially filled with porous medium is presented. Two regions are coupled by equating the velocity and shear stress in the case of the momentum equation while matching of the temperature and heat flux is taken for the thermal energy equation. Using the perturbation technique, approximate solutions are obtained. Then, variations in velocity field with Darcy number, Glashof number, kinematic viscosity ratio, distance of interface and variations in temperature distribution with thermal conductivity ratio, distance of interface are obtained.
scientific article; zbMATH DE number 5869181