On influence of inertial component of resistance force on gas flow through the porous heat-releasing media

Abstract

Stationary gas flow through the porous heat-releasing object with known gas pressure difference at opened boundaries of the object and unknown gas flow rate with accounting the inertial component of resistance is considered. The analytical solution of this problem is obtained under certain simplifying conditions and analyzed in a wide range of problem parameters. Deviation of the gas temperature and velocity, which is defined as difference between values with and without accounting the quadratic term in motion equation, is investigated. It is shown that taking into account the quadratic velocity in motion equation can significantly impact on the problem solution even at relative small pressure difference at the objects boundaries. It is shown analytically that when taking into account the inertial component of resistance, the gas filtration velocity has an asymptotic dependence from pressure difference at opened boundaries.