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DOI: 10.1615/ICHMT.2008.CHT.1250
13 pages

Nadia Allouache
Faculté de Génie Mécanique et de Génie des Procédés Université des Sciences et de la Technologie Houari Boumedienne, B. P. 32 EL Alia, Bab Ezzouar 16111, Algeria

Salah Chikh
USTHB, Faculty of Mechanical and Process Engineering, LTPMP, Alger 16111, Algeria


This present work describes a modified κ-ε model for turbulent flow in porous media. The governing equations are obtained by time averaging the volume-averaged equations (time-averaging theory).This modified model accounts for the second order approximation in the Forchheimer terms. This higher order term leads to a better description of the turbulent effects of the Forchheimer term in the flow through the porous media. As an application example, a turbulent flow in an annular heat exchanger with a porous substrate attached to the inner cylinder is analysed. A control volume approach is employed for discretizing the governing equations. The set of the discretized linear algebraic equations are solved using the line by line method. A good agreement is obtained for the validation case. The effect of the flow rate ratio between the cold and hot fluids is analyzed.

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