Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-26T06:54:12.864Z Has data issue: false hasContentIssue false
  • English
  • Français

Plane jet flows from slowly varying nozzles

Published online by Cambridge University Press:  29 March 2006

M. B. Lesser
M. B. Lesser
Affiliation:
Institut CERAC S.A., Ecublens, Switzerland
Get access Rights & Permissions [Opens in a new window]

Abstract

The solution to the steady problem of an inviscid jet emerging from a symmetric nozzle of slowly varying profile is sought as an asymptotic series in the wall slope. The expansion of the solution in the region near the nozzle lip is singular at infinity, so that a matched expansion technique is evolved to solve the problem. To the order to which the solution is obtained in the present paper, the jet contraction ratio is shown to be the same as that from a nozzle formed by two inclined planes with inclination angle the same as the exit slope of the nozzle. Composite expansions are formed and used to check the consistency of expansion and matching procedures.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 61 , Issue 1 , 23 October 1973 , pp. 65 - 72
Copyright
© 1973 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

Abramowitz, M. & Stegun, A. 1965 Handbook of Mathematical Functions. Dover.
Fraenkel, L. E. 1969 On the method of matched asymptotic expansions. Proc. Camb. Phil. Soc. 65, 209.Google Scholar
Gilbarg, D. 1960 Jets and cavities. In Handbuch der Physik, vol. 9 (edited C. Truesdell), p. 341.
Larock, B. E. 1969 Jets from two-dimensional symmetric nozzles of arbitrary shape. J. Fluid Mech. 37, 479.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.