Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-14T10:28:02.475Z Has data issue: false hasContentIssue false
  • English
  • Français

XI.—Application of Relaxation Methods to Compressible Flow past a Double Wedge*

Published online by Cambridge University Press:  14 February 2012

A. R. Mitchell  and
D. E. Rutherford
A. R. Mitchell
Affiliation:
United College, University of St Andrews.
D. E. Rutherford
Affiliation:
United College, University of St Andrews.
Get access Rights & Permissions [Opens in a new window]

Synopsis

The relaxation technique of R. V. Southwell is shown to be applicable in certain cases to transonic problems. For a uniform stream with a low subsonic velocity impinging on a symmetrical 2-dimensional double wedge, an asymmetrical supersonic region can be isolated in the neighbourhood of the corner of the wedge, and the streamlines and the values of the Mach number within this supersonic region can be determined with the aid of relaxation methods. Difficulties must be expected to occur in the neighbourhood of the sonic line, but in the present problem these have been surmounted.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 63 , Issue 2 , 1951 , pp. 139 - 154
Copyright
Copyright © Royal Society of Edinburgh 1951

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

REFERENCES TO LITERATURE

Courant, R., and Friedrichs, K. O., 1948. Supersonic Flow and Shock Waves, New York.Google Scholar
Emmons, H. W., 1944. “Numerical Solutions of Compressible Fluid Flow Problems”, A.R.C. Report 7871.Google Scholar
Fox, L., and Southwell, R. V., 1944. “On the Flow of Gas through a Nozzle with Velocities exceeding the Speed of Sound”, Proc. Roy. Soc., A, CLXXXIII, 38–54.Google Scholar
Green, J. R., and Southwell, R. V., 1943. “High Speed Flow of Compressible Fluid through a Two-Dimensional Nozzle”, Phil. Trans., A, ccxxxix, 367–386.Google Scholar
Jones, M., Bright, P., and Andrews, J. B., 1946. “The Squares Method applied to Compressible Flow with a Shock Wave”, R.A.E. Technical Note Aero 1833.Google Scholar
Southwell, R. V., 1946. Relaxation Methods in Theoretical Physics, Oxford.Google Scholar
Thom, A., and Klanfer, L., 1947. “Some Arithmetical Studies of the Compressible Flow past a Body in a Channel”, A.R.C. Report 11010.Google Scholar