Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-17T02:57:36.601Z Has data issue: false hasContentIssue false
  • English
  • Français

Piston theory applied to strong shocks and unsteady flow

Published online by Cambridge University Press:  28 March 2006

Joseph L. Raymond
Joseph L. Raymond
Affiliation:
Aero-Astronautics Department, The RAND Corporation, Santa Monica, California
Get access Rights & Permissions [Opens in a new window]

Abstract

The utility of piston theory as a means of solving insentropic two-dimensional aerodynamic problems has been aptly demonstrated by many writers in recent years. The present treatment removes the restriction of isentropic flows, extending the applicability of piston theory to flows with strong shocks. Sample calculations for a thin biconvex airfoil are carried out in which the local flow is assumed to be isentropic and non-isentropic. Comparison of the result is made with that of the shock expansion theory of Cole, Gazley & Williams (1956).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 4 , August 1960 , pp. 509 - 513
Copyright
© 1960 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

Ashley, H. & Zartarian, G. 1956 Piston theory—a new aerodynamic tool for the aeroelastician. J. Aero. Sci. 23, 1109–18.Google Scholar
Chawla, J. P. 1958 Aeroelastic instability at high Mach number. J. Aero. Sci., 25, 246–58.Google Scholar
Cole, J. D., Gazley, C. Jr., & Williams, E. P. 1956 Class notes for a hypersonic aerodynamics course, 1956 and 1957. University of California, Los Angeles. (To be published.)
Hayes, W. D. 1947 On hypersonic similitude. Quart. Appl. Math., 5, 105–6.Google Scholar
Hayes, W. D. 1957 Private communication.
Landahl, Martin T. 1957 Unsteady flow around thin wings at high Mach numbers. J. Aero. Sci. 24, 33–8.Google Scholar
Lighthill, M. J. 1953 Oscillating airfoils at high Mach number. J. Aero. Sci., 20, 402–6.Google Scholar
Raymond, J. L. & Williams, E. P. 1957 A simple relation between the shock and expansion pressure coefficients for two-dimensional hypersonic flow. J. Aero. Sci. 24, 389–90.Google Scholar
Van Dyke, M. D. 1954 A study of small-disturbance theory. Nat. Adv. Comm. Aero. Tech. Report 1194.Google Scholar