Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-14T16:45:31.354Z Has data issue: false hasContentIssue false
  • English
  • Français

Interferometric test for N-wave flow

Published online by Cambridge University Press:  28 March 2006

D. H. Steininger  and
F. D. Bennett
D. H. Steininger
Affiliation:
Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland
F. D. Bennett
Affiliation:
Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland
Get access Rights & Permissions [Opens in a new window]

Abstract

An analytical expression for the fringe shift in the N-wave is derived from the improved linearized theory for a slender supersonic projectile. From this expression an approximate mapping function is found which gives a simple test for N-wave flow. The validity of the fringe-shift expression is quantitatively confirmed by measuring an interferogram of the flow around a sphere. N-wave flow is shown to exist around a small sphere for r greater than about 70 diameters. Measurements of the shock waves from a sphere and a cone-cylinder show that the shocks assume their asymptotic positions for r > 14 diameters for the sphere, and r > 7 diameters for the cone-cylinder.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 2 , Issue 3 , May 1957 , pp. 209 - 236
Copyright
© 1957 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

Bennett, F. D., Carter, W. C. & Bergdolt, V. E. 1952 J. Appl. Phys. 23, 453.
Bergdolt, V. E., Greenwald, A. J. & Sleator, D. B. 1951 A pressurized range for small caliber projectiles, Aberdeen Proving Ground, BRLM Report no. 548.Google Scholar
Bergdolt, V. E. 1953 J. Aero. Sci. 20, 751.
Charters, A. C. & Thomas, R. N. 1945 J. Aero. Sci. 12, 468.
Cole, J. D., Solomon, G. E. & Willmarth, W. W. 1953 J. Aero. Sci. 20, 627.
DuMond, J. W., Cohen, E. R., Panofsky, W. K. H. & Deeds, E. 1946 J. Acoust. Soc. Amer. 18, 97.
Giese, J. H., Bennett, F. D. & Bergdolt, V. E. 1950 J. Appl. Phys. 21, 1226.
Giese, J. H. & Bergdolt, V. E. 1953 J. Appl. Phys. 24, 1389.
Heaslet, M. A. & Lomax, H. 1954 High Speed Aerodynamics and Jet Propulsion. Vol. IX, Sec. D32, p. 330. Princeton University Press.
Karman, Th. Von & Moore, N. B. 1932 Trans. Amer. Soc. Mech. Engrs. 54, 303.
Ladenburg, R. & Bershader, D. 1954 High Speed Aerodynamics and Jet Propulsion, Vol. IX, Sec. A3. Princeton University Press.
Lewis, M. R. & Sleator, D. B. 1956 Exploding wire light source for high speed interferometry, Aberdeen Proving Ground, BRLM Report no. 975.Google Scholar
Lighthill, M. J. 1954 High Speed Aerodynamics and Jet Propulsion, Vol. IX, Sec. E6, p. 429. Princeton University Press.
McShane, E. J., Kelley, J. L. & Reno, F. V. 1953 Exterior Ballistics. University of Denver Press.
Sleator, D. B., Bergdolt, V. E. & Bennett, F. D. 1952 A monochromatic light source for interferometry of high speed gas flows, Aberdeen Proving Ground, BRLM Report no. 594.Google Scholar
Steininger, D. H. 1956 Interferometric analysis of the N-wave of a supersonic projectile. Dissertation, The Pennsylvania State University.
Whitham, G. B. 1950 Proc. Roy. Soc. A, 201, 89.
Whitham, G. B. 1952 Comm. Pure Appl. Math. 5, 301.