Hostname: page-component-6bf8c574d5-mggfc Total loading time: 0 Render date: 2025-02-17T18:26:19.708Z Has data issue: false hasContentIssue false
  • English
  • Français

Shock detachment and drag in hypersonic flow over wedges and circular cylinders

Published online by Cambridge University Press:  25 March 2021

H.G. Hornung Open the ORCID record for H.G. Hornung [Opens in a new window]
H.G. Hornung*
Affiliation:
Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, CA91125, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In a recent publication, Hornung et al. (J. Fluid Mech., vol. 871, 2019, pp. 1097–1116) showed that the shock wave stand-off distance and the drag coefficient of a cone in the inviscid hypersonic flow of a perfect gas can be expressed as the product of a function of the inverse normal-shock density ratio $\varepsilon$ and a function of the cone-angle parameter $\eta$, thus reducing the number of independent parameters from three (Mach number, specific heat ratio and angle) to two. Analytical forms of the functions were obtained by performing a large number of Euler computations. In this article, the same approach is applied to a symmetrical flow over a wedge. It is shown that the same simplification applies and corresponding analytical forms of the functions are obtained. The functions of $\varepsilon$ are compared with the newly determined corresponding functions for flow over a circular cylinder.

JFM classification

Compressible Flows: Hypersonic Flow Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A100
Check for updates
Copyright
© The Author(s), 2021. Published by 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

REFERENCES

Chapman, C.J. 2000 High Speed Flow. Cambridge Texts in Applied Mathematics. Cambridge University Press.Google Scholar
Einfeldt, B. 1988 On Godunov-type methods for gas dynamics. SIAM J. Numer. Anal. 25, 294–328.CrossRefGoogle Scholar
Harten, A., Lax, P.D. & van Leer, B. 1983 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25, 35–61.CrossRefGoogle Scholar
Hayes, W.D. & Probstein, R.F. 1959 Hypersonic Flow Theory. Academic Press.Google Scholar
Hornung, H.G. 1972 Non-equilibrium flow of nitrogen over spheres and circular cylinders. J. Fluid Mech. 53, 149–176.CrossRefGoogle Scholar
Hornung, H.G., Schramm, J.M. & Hannemann, K. 2019 Hypersonic flow over sphericcally blunted cone capsules for atmospheric entry. Part 1, the sharp cone and the sphere. J. Fluid Mech. 871, 1097–1116.CrossRefGoogle Scholar
Pullin, D.I. 1980 Direct simulation methods for compressible inviscid ideal-gas flows. J. Comput. Phys. 34, 231–240.CrossRefGoogle Scholar
Quirk, J.J. 1994 A contribution to the great Riemann solver debate. Intl J. Numer. Meth. Fluids 18, 555–574.CrossRefGoogle Scholar
Quirk, J.J. 1998 Amrita — a computational facility (for CFD modelling). In VKI CFD Lecture Series, vol. 29. von Kármán Institute.Google Scholar
Quirk, J.J. & Karni, S. 1996 On the dynamics of a shock bubble interaction. J. Fluid Mech. 318, 129–163.CrossRefGoogle Scholar
Stulov, V.P. 1969 Similarity law for supersonic flow past blunt bodies. Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 4, 142–146.Google Scholar
Wen, C.-Y. & Hornung, H.G. 1995 Non-equilibrium dissociating flow over spheres. J. Fluid Mech. 299, 389–405.CrossRefGoogle Scholar