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Porous materials are often used for the injector face plate of liquid rocket engines to aid in cooling by transpiration of fuel. A first-principle-based method for predicting fluid flow and heat transfer through porous media is developed to enhance the existing, empirical based methods. In the present approach, the effect of porous structure on the global fluid flow is accounted for via local volume averaged governing equations. The resulting set of transport equations contains closure terms representing the statistical flow characteristics around the pores. These closure terms are deduced by direct computation of the fluid flow in individual, representative pore samples that are observed in the porous material. Hence, empirical dependence of simulations can be removed without requiring excessive computational cost. In this paper, we improve the formulation previously developed by Sozer et al. along with characterization of the Rigimesh porous material.

Modeling of Fluid Dynamics and Heat Transfer Through Porous Media for Liquid Rocket Propulsion