P. Simacek et Sg. Advani, An analytic solution for the temperature distribution in flow through porous media in narrow gaps: i - linear injection, HEAT MASS T, 38(1-2), 2001, pp. 25-33
The paper examines the temperature distribution during non-isothermal satur
ated flow through the porous media, with composite materials processing as
the application that can immediately benefit. The analytic solution is prov
ided for linear and radial flow. This solution includes the influence of tr
ansient effects, viscous dissipation and simplified internal heat generatio
n. The solution analyzes the importance of the above mentioned effects. It
shows, both by the analytic expression and numerical example, that a fairly
accurate low order approximation of the temperature profile is possible ev
erywhere except in the closest vicinity of the inlet.