The Leakage of Gases Through Narrow Channels

Abstract

Abstract In this paper a rational theory is developed as a basis for calculating the flow of gases (compressible fluids) through narrow channels. For the most important case the solution of the general flow equation is given in graphical form which shows the relation between mass flow, pressure drop, and channel resistance. Tests of the leakage of air and steam through the narrow clearance between a valve stem and bushing afford a practical demonstration of the use of the theory. Formulas are derived for the calculation of the leakage of gases through reamed bushings on ground stems. Expressions for the leakage of liquids (incompressible fluids) are obtained as special cases of the gas formulas.