SINOPSIS

A numerical study is reported here to investigate a laminar incompressible oscillating flow and heat transfer into a finite length pipe of circular crss section partially filled with an annular lining of porous medium. The porous substrate is attached to the wall, which is heated with uniform temperature. The flow in the porous materialis described by the Brinkman-Lapwood-Forchheimer extended Darcy model with variable porosity. The model for the energy transport is based on the local thermal equilibrium assumption, between the fluid and the solid phases, and takes into account the viscous dissipation effects. The control volume-based finite element method (CVFEM) is used for solving the governing differential equations system with an unequal order velocity-pressure interpolation. A comprehensive analysis of the influence of the Darcy number, the Womersly number, the thermal conductivity ratio, the heat capacity ratio, the porous layer thickness, and the Eckert number is presented and discussed throughout the article.