Analysis of nanofluid heat transfer in parallel-plate vertical channels partially filled with porous medium

► We present an analysis of mixed-convective heat transfer of nanofluids. ► Brinkman-Forchheimer extended Darcy model is used to describe fluid flow pattern. ► Different viscous dissipation models are applied to account for viscous heating. ► We present an analytical approximate solution using a perturbation method. ► Effects of Brownian motion and thermophoresis are included.