Analytical solution of flow field for weak Mach reflection over plane surface
Concerned here with the analytical solution of flow field of single weak Mach reflection caused by an advancing plane shock wave over a simple wedge surface. We develop an improvement of Lighthill’s linearized theory in the correction due to the non-linearity of the flow field through a singular perturbation. Obtained expressions including the one for the triple point path are compared resonably well with existing experimental, computational and theoretical results.
KeywordsShock Wave Flow Field Singular Perturbation Mach Stem Weak Shock Wave
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- 1.Adachi, et al.: ‘Benchmark Test of Reflection of Weak Shock Waves from Wedges’. In: Proc. 21st Int. Symp on Shock Waves, 1997, (Panther Publishing, Australia 1997) pp. 883–840Google Scholar
- 2.M.J. Lighthill: The diffraction of blast 1, Proc. Roy. Soc. A 198, 454 (1949)Google Scholar
- 3.G.B. Witham: Linear and Nonlinear Waves. (John Wiley & Sones, 1974), pp. 312–330Google Scholar
- 4.R.J. Sandeman: A simple physical theory of weak Mach reflection over plane surfaces. Shock Wave 10, 103 (2000)Google Scholar
- 5.A. Sakurai, R.S. Srivastava, S. Takahashi, F. Takayama: A note on Sandeman’s simple physical theory of weak Mach reflection. Shock Waves 11, 409 (2002)Google Scholar
- 6.A. Sasoh, K. Takayama, T. Saito: A weak shock reflection over wedges. Shock Waves 2, 4 (1992)Google Scholar
- 7.P. Colella, L.F. Henderson: The von Neumann paradox for the diffraction of weak shock waves. J. Fluid Mech. 213, 7 (1990)Google Scholar