Hostname: page-component-68945f75b7-6rp8b Total loading time: 0 Render date: 2024-09-02T17:24:27.846Z Has data issue: false hasContentIssue false

Kinematic formulation of rotational gas flow

Published online by Cambridge University Press:  28 March 2006

M. Vinokur
Affiliation:
Lockhead Aircraft Corporation, Missiles and Space Division, Sunnyvale, California

Abstract

It is shown that for the steady isoenergetic rotational flow of an ideal gas, both the specific enthalpy and the speed of sound can be expressed as functions of the velocity. As a result, it is possible to formulate the equations of motion so that the velocity is the only dependent variable. For a gas whose enthalpy and sound speed are functionally related, the results are a generalization of those for a perfect gas. If the enthalpy and sound speed are independent variables, the new formulation leads to a single vector equation whose solution completely determines the flow.

Type
Research Article
Copyright
© 1960 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

Crocco, L. 1937 Eine neue Stromfunction für die Erforschung der Bewegung der Gase mit Rotation. Z. angew. Math. Mech., 17, 17.Google Scholar
Gustafson, W. A. & v. Krzywoblocki, M. Z. 1957 On multiplicity theorems and an exact solution in diabatic flow. Acta Phys. Austriaca 11, 13146, 294320.Google Scholar
Prim, R. C. 3rd 1952 Steady rotational flow of ideal gases. J. Rat. Mech. Anal. 1, 42597.Google Scholar
Wohlwill, H. E. 1957 The stream function equation for a high-temperature gas in axisymmetric rotational flow. Space Technology Laboratories, Inc., Rep. no. GM-TN-0165-00100.Google Scholar