Fully developed forced convection in a rectangular microchannel filled with or without a porous medium is investigated analytically based on the Fourier series approach. The Brinkman flow model is applied with the slip velocity being accounted for. Invoking the temperature jump equation, the H2 thermal boundary condition is investigated. Expressions are presented for the local and average velocity and temperature profiles, the friction factor, the slip coefficient, and the Nusselt number in terms of the key parameters. (c) 2008 Elsevier Ltd. All rights reserved.