B. Tashtoush, Analytical solution for the effect of viscous dissipation on mixed convection in saturated porous media, TRANS POR M, 41(2), 2000, pp. 197-209
A new analytical solution is introduced for the effect of viscous dissipati
on on mixed convection flow and heat transfer about an isothermal vertical
wall embedded in Darcy and non-Darcy porous media with uniform free stream
velocity. The effect of viscous dissipation on mixed convection in both reg
imes has been analyzed for both the aiding and opposing flows using Gebhart
number, Ge-x = g beta x/c(p). The governing parameters are Re, Ra, Pe and
Ge-x. The case of Re = 0 corresponds to Darcy mixed convection region and R
e/Pe is identified as the mixed convection governing parameter, Ra = 0 lead
ing to pure forced convection. A good agreement was found between the numer
ical and analytical solutions. It was found from the Nusselt number results
that viscous dissipation lowers the heat transfer rate in both Darcy and F
orchheimer flow regimes for aiding as well as opposing flows.