Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-18T18:38:05.639Z Has data issue: false hasContentIssue false
  • English
  • Français

On the viscous flow in the nose region of a symmetric blunt body in hypersonic flow

Published online by Cambridge University Press:  28 March 2006

B. S. H. Rarity
B. S. H. Rarity
Affiliation:
Department of the Mechanics of Fluids, University of Manchester
Get access Rights & Permissions [Opens in a new window]

Abstract

The flow field in the nose region of a blunt body in hypersonic flow is studied by considering the transport of vorticity and enthalpy. The entire region between body and shock is considered to be viscous, not necessarily thin in comparison with the nose radius of the body and to be of slowly varying density. The (given) post-shock vorticity need not be small and the density ratio ρ∞/ρs may either be small or near unity, the analysis being valid asymptotically at both limits.

It is found that the vorticity equation may be uncoupled from the total enthalpy equation if μ√ρ is constant. While the equations are not expected to be necessarily restricted to the immediate vicinity of the stagnation line, only there can the solution be written down explicitly; elsewhere, numerical integration is required.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 4 , December 1966 , pp. 829 - 839
Copyright
© 1966 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

Bush, W. B. 1964 J. Fluid Mech. 20, 35.
Cheng, H. K. 1961 Proc. 1961 Heat Trans. and Fluid Mech. Inst. Stanford University Press.
Cheng, H. K. 1963 Cornell Aero. Lab. Rep. no. AF-1285-A-10.
Hansen, C. F. 1959 NASA Tech. Rep. no. R-50.
Hayes, W. D. 1956 Jet Prop. 26, 27.
Hayes, W. D. & Probstein, R. F. 1959 Hypersonic flow theory. New York: Academic Press.
Lighthill, M. J. 1950 Proc. Roy. Soc. A 202, 359.