Analysis of Forced Convection in a Circular Tube Filled With a Darcy–Brinkman–Forchheimer Porous Medium Using Spectral Homotopy Analysis Method

Abstract

This paper provides a fresh analytical solution for fully developed forced convection through a Darcy–Brinkman–Forchheimer porous medium imbedded inside a circular tube, with imposed uniform heat flux at walls. A spectral homotopy analysis method is applied to present a solution which spans a wide range of the main parameters (the Darcy number (Da), viscosity ratio (M), and Forchheimer number (F)). The analytical results are compared with data available in the literature, and excellent agreement is found. The paper is capable of addressing the problem in a general porous medium for which both inertial and boundary-friction effects affect the flow and heat transfer physics. In order to serve this aim, the influence of Da, M, and F on the dimensionless velocity and temperature profiles, as well as Nusselt number, are investigated.