Abstract
One of the more severe fluctuating pressure environments encountered in supersonic or hypersonic flows is the shock wave oscillation driven by interaction of a shock wave with boundary layer. The high intensity oscillating shock wave may induce structure resonance of a high speed vehicle. The research for the shock oscillation used to adopt empirical or semiempirical methods because the phenomenon is very complex. In this paper a theoretical solution on shock oscillating frequency due to turbulent shear layer fluctuations has been obtained from basic conservation equations. Moreover, we have attained the regularity of the frequency of oscillating shock varying with incoming flow Mach numbers M∞ and turning angle θ. The calculating results indicate excellent agreement with measurements. This paper has supplied a valuable analytical method to study aeroelastic problems produced by shock wave oscillation.
Similar content being viewed by others
References
Trilling, L., Oscillating shock-boundary layer interaction,J. A. S.,25, 5 (1958).
Plotkin, K. J. and J. E. Robertson. Prediction of space shuttle fluctuating pressure environments, NASA CR-124347 (1973).
Phillips, O. M., On the generation of wave by turbulent wind,J. Fluid Mech.,2 (1957), 417.
Lilley, G. M., Wall pressure fluctuations under turbulent boundary layer at subsonic and supersonic speed,AGARD Rept.,454 (1963).
Michael, S. H., Shock wave-turbulent boundary layer interaction in hypersonic flow, ARL 73-0137 (1973).
Dolling, D. S., Unsteadiness of shock-wave induced turbulent boundary layer separation,Turbulent Shear Layer/Shock Wave Interaction, Ed. J. Delery, Springer, Berlin Heidelberg (1986), 341–357.
Tran, T. T., D. K. M. Tan and S. M. Bogdonoff, Surface pressure fluctuating in a three-dimensional shock wave/turbulent boundary layer interaction at various shock strengths, AIAA Paper 85-1562 (1985).
Coe, C. E., Surface pressure fluctuations associated with aerodynamic-noise, NASA SP-207 (1969), 409.
Author information
Authors and Affiliations
Additional information
Communicated by Tsai Shu-tang
The Project Supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Li-gong, X., Zheng, R. A calculating method of shock wave oscillating frequency due to turbulent shear layer fluctuations in supersonic flow. Appl Math Mech 12, 777–784 (1991). https://doi.org/10.1007/BF02458168
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02458168