Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-18T13:45:20.426Z Has data issue: false hasContentIssue false

Gaskinetics and gasdynamics of orifice flow

Published online by Cambridge University Press:  28 March 2006

Hans W. Liepmann
Affiliation:
California Institute of Technology, Pasadena, California

Abstract

The paper gives the result of a study on the efflux of gases through circular apertures. The problem is considered as an example of a transition from the gasdynamic to the gaskinetic régime.

The mass flow of helium, argon and nitrogen was measured for a range of upstream pressures corresponding to (mean free path)/(aperture diameter) from about 50 to 5 × 10−3; within this range the transition from molecular effusion to inviscid, transonic flow takes place. The theory for the two asymptotic limits is discussed and first-order corrections to the free molecular and inviscid limit formulae are given.

Type
Research Article
Copyright
© 1961 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chaplygin, S. A. 1904 Scientific Annals of the Imperial University of Moscow, Physics-Mathematical Division Publication, no. 21.
Clausing, P. 1932 Ann. Physik. 12, 961.
Frankl, F. I. 1947 Trans. Acad. Sci., U. S. S. R. 58, no. 3
Guderley, K. G. 1957 Theorie Schallnaher Strömungen. Berlin: Springer.
Knudsen, M. 1909 Ann. Physik, 28, 75.
Liepmann, H. W. 1959 A study of effusive flow. Durand Centennial Conference, Stanford University.
Liepmann, H. W. 1960 Gaskinetics and gasdynamics of orifice flow. First All-Union Congress on Theoretical and Applied Mechanics, Moscow.
Narasimha, R. 1960 Phys. Fluids, 3, 476.
Perry, J. A. 1949 Trans. Amer. Soc, Mech. Engrs, 71, 757.
Present, R. D. 1958 Kinetic Theory of Gases. New York: McGraw-Hill.
Rott, N. & Crabtree, L. F. 1952 J. Aero. Sci. 19, 553.
Sturtevant, B. 1960 Effusion of charged particles from a shock heated gas. GALCIT Rep. California Institute of Technology.