Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-09T12:30:02.075Z Has data issue: false hasContentIssue false
  • English
  • Français

Subcritical Flow without Circulation past a Swept Semi-Infinite Elliptic Cylinder

Published online by Cambridge University Press:  07 June 2016

G J Clapworthy
G J Clapworthy*
Affiliation:
University of Southampton
Get access

Summary

The numerical calculation of the subcritical, steady, three-dimensional, potential flow past a semi-infinite swept elliptic cylinder attached to a plane wall is described. The full equations of motion are written in terms of the velocity potential and the exact body-surface conditions are applied. The equations are expressed in coordinates defined by the body shape and further transformations are necessary to reduce the infinite domain to a finite working space and to concentrate the grid points in regions of greatest variation of potential. The resulting equations are solved using a finite-difference scheme. The Mach number distribution for a typical case is presented.

Type
Research Article
Information
Aeronautical Quarterly , Volume 28 , Issue 2 , May 1977 , pp. 142 - 148
Copyright
Copyright © Royal Aeronautical Society. 1977

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

1 Sells, C C L Plane subcritical flow past a lifting aerofoil. Proc Roy Soc, series A, Vol 308, p 377, 1968.Google Scholar
2 Murman, E M Cole, J D Calculation of plane steady transonic flows. AIAA Journal, Vol 9, p 114, January 1971.CrossRefGoogle Scholar
3 Steger, J L Lomax, H Transonic flow about two-dimensional airfoils by relaxation procedures. AIAA Journal, Vol 10, p 49, January 1972.CrossRefGoogle Scholar
4 Bauer, F Garabedian, P Korn, D A Theory of Supercritical Wing Sections. Springer, 1972.Google Scholar
5 Duck, P W The numerical calculation of subcritical steady flow around an unyawed ellipsoid. RAE TR 75041, 1975.Google Scholar
6 Duck, P W The numerical calculation of steady inviscid supercritical flow past ellipsoids without circulation. RAE TR 75087, 1975.Google Scholar
7 Jameson, A Iterative solution of transonic flows over airfoils and wings, including flows at Mach 1. Communications in Pure and Applied Mathematics, Vol 27, p 283, May 1974.CrossRefGoogle Scholar
8 Clapworthy, G J The calculation, by a finite-difference method, of subcritical flow without circulation past a swept elliptic cylinder between walls. RAE TR 76074, 1976.Google Scholar
9 Mangler, K W Murray, J C Systems of coordinates suitable for the numerical calculation of three-dimensional flow fields. ARC Current Paper 1325, 1975.Google Scholar