A Caltech Library Service

Proximal bodies in hypersonic flow

Laurence, Stuart J. and Deiterding, R. and Hornung, H. G. (2007) Proximal bodies in hypersonic flow. Journal of Fluid Mechanics, 590 . pp. 209-237. ISSN 0022-1120.

See Usage Policy.


Use this Persistent URL to link to this item:


Hypersonic flows involving two or more bodies travelling in close proximity to one another are encountered in several important situations. The present work seeks to explore one aspect of the resulting flow problem by investigating the forces experienced by a secondary body when it is within the domain of influence of a primary body travelling at hypersonic speeds. An analytical methodology based on the blast wave analogy is developed and used to predict the secondary force coefficients for simple geometries in both two and three dimensions. When the secondary body is entirely inside the primary shocked region, the nature of the lateral force coefficient is found to depend strongly on the relative size of the two bodies. For two spheres, the methodology predicts that the secondary body will experience an exclusively attractive lateral force if the secondary diameter is larger than one-sixth of the primary diameter. The analytical results are compared with those from numerical simulations and reasonable agreement is observed if an appropriate normalization for the relative lateral displacement of the two bodies is used. Results from a series of experiments in the T5 hypervelocity shock tunnel are also presented and compared with perfect-gas numerical simulations, with good agreement. A new force-measurement technique for short-duration hypersonic facilities, enabling the experimental simulation of the proximal bodies problem, is described. This technique provides two independent means of measurement, and the agreement observed between the two gives a further degree of confidence in the results obtained.

Item Type:Article
Related URLs:
URLURL TypeDescription
Hornung, H. G.0000-0002-4903-8419
Additional Information:Copyright © Cambridge University Press 2007. Reprinted with permission. (Received 9 February 2007 and in revised form 13 June 2007). Published online 15 October 2007. S.J.L. is grateful for assistance received from the Gordon and Betty Moore Fellowship and the Darryl G. Greenamyer Fellowship. R.D. was postdoctoral scholar in Applied and Computational Mathematics at the California Institute of Technology when this work was carried out. All authors gratefully acknowledge the provision of computational resources by the ASC Alliance Center for the Simulation of Dynamic Response of Materials which is supported by the ASC program of the Department of Energy under subcontract No. B341492 of DOE contract W-7405-ENG-48.
Record Number:CaltechAUTHORS:LAUjfm07
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9461
Deposited By: Archive Administrator
Deposited On:07 Jan 2008
Last Modified:22 Nov 2019 09:58

Repository Staff Only: item control page