## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Forced convection in a self heating porous channel: Local thermal nonequilibium model

**ABSTRACT**

Laminar forced convection flow through a parallel plates channel completely filled with a saturated porous medium where occurs a uniform heat generation per unit volume with volumetric heat generation is investigated numerically. The Darcy-Brinkman model is used to describe the fluid flow. The energy transport mathematical model is based on the two equations model which assumes that there is no local thermal equilibrium (LTNE) between the fluid and the solid phases. The dimensionless governing equations with the appropriate boundary conditions are solved by direct numerical simulation. The effect of the controlling parameters, Biot number, thermal conductivities ratio, heat generation rate and the Reynolds number on the LTE needed and sufficient condition is analysed. The results reveal essentially that the LTE condition is unfavourably affected by the increase in the heat generation rate, the thermal conductivities ratio and the decrease in the Biot number. In addition, for a given heat generation rate, the effect of Reynolds number on the LTE condition is reversed depending on the conductivities ratio threshold.

**KEYWORDS**

PAPER SUBMITTED: 2015-02-01

PAPER REVISED: 2015-06-19

PAPER ACCEPTED: 2015-07-20

PUBLISHED ONLINE: 2015-08-08

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