Abstract
Following the idea forwarded by Ben-Dor and Takayama (1985) a new propagation path was assumed for the corner generated signals. In addition to the new chosen propagation path, one of the simplified assumptions used by Ben-Dor and Takayama, namely thatu+a remains constant behind the incident shock wave, was further simplified, i.e., bothu anda were assumed to be constant behind the incident shock wave. This new path and the further simplified assumption led to a new transition criterion from Mach to regular reflection over a cylindrical wedge which unlike the two criteria developed in Ref. by Ben-Dor and Takayama (1985) has the ability to predict the transition wedge angle quite accurately in the entire range of the incident shock wave Mach numbers which were investigated in Ref. by Ben-Dor and Takayama(1985) and in this study.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Ben-Dor, G. and Takayama, K., 1985, “Analytical Prediction of the Transition from Mach to Regular Reflection over Cylindrical Concave Wedges,” J. Fluid Mech., Vol. 158, pp. 365–380.
Ben-Dor, G., Takayama, K. and Kawauchi, T., 1980, “The Transition from Regular to Mach Reflection and from Mach to Regular Reflection in Truly Non-Stationary Flows,” J. Fluid Mechanics, Vol. 100, pp. 147–160.
Hornung, H.G., Oertel, H. and Sandeman, R.J., 1979, “Transition to Mach Reflection of Shock Waves in Steady and Pseudo Steady Flow With and Without Relaxation” J. Fluid Mech. Vol. 90, Pt. 3, pp. 541–560.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Takayama, K., Ben-Dor, G. A reconsideration of the transition criterion from mach to regular reflection over cylindrical concave surfaces. KSME Journal 3, 6–9 (1989). https://doi.org/10.1007/BF02945677
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02945677