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On a non-linear theory of thin jets. Part 2. A linear theory for small injection angles

Published online by Cambridge University Press:  28 March 2006

Robert C. Ackerberg
Robert C. Ackerberg
Affiliation:
Polytechnic Institute of Brooklyn, Graduate Center, Farmingdale, New York
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Abstract

A non-linear potential problem which describes the injection of a high speed jet into a uniform flow of lower total head is linearized when the jet injection angle is small. The resulting linear problem is solved using the Wiener–Hopf technique. Numerical results for the position of the streamline separating the jet from the free stream and the pressure coefficient along the upstream wall are obtained for various injection angles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 2 , 12 August 1968 , pp. 261 - 272
Copyright
© 1968 Cambridge University Press

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References

Ackerberg, R. C. 1968 On a non-linear theory of thin jets. Part 1 J. Fluid Mech. 31, 583.Google Scholar
Ackerberg, R. C. & Pal, A. 1968 On the interaction of a two-dimensional jet with a parallel flow J. Math. Phys. 47, 32.Google Scholar
Geller, M. 1963 A table of integrals involving powers, exponentials, logarithms, and the exponential integral. Jet Propulsion Laboratory Technical Report no. 32–469.Google Scholar
Noble, B. 1958 Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. New York: Pergamon Press.
Woods, L. C. 1961 The Theory of Subsonic Plane Flow. Cambridge University Press.