12 - Analytical Model for Steady Flow through a Porous Liquid Acquisition Device Channel

Abstract

The purpose of this chapter is to present an analytical solution of flow through a finite length channel with one porous wall. It improves upon previous solutions by (1) satisfying the no-slip boundary condition at the channel dead end, (2) adding a turbulent term to the porous wall boundary condition, and (3) allowing for arbitrary variable suction or injection across the porous wall. Of particular interest is the application of the analytical solution to model behavior of cryogenic propellant flow through a porous liquid acquisition device screen and channel in a 1-g environment. Governing equations, boundary conditions, and model assumptions are used to derive the analytical flow solution. Then, the general results of the solution are summarized and compared to available experimental cryogenic oxygen and hydrogen LADs data. Finally, the static bubble point model is updated with a dynamic bubble point term, which factors in enhanced convection and cooling at the screen during propellant outflow.