Skip to main content Accessibility help

Analysis and modelling of unsteady shock train motions

  • Bing Xiong (a1), Xiao-qiang Fan (a1), Zhen-guo Wang (a1) and Yuan Tao (a1)


The characteristics and mechanism for unsteady shock train motions were experimentally studied in a constant-area rectangular duct. High-speed Schlieren techniques and high-frequency pressure measurements were utilized in this research. The results show that the shock train undergoes periodical motions in response to downstream periodical excitations. The mechanism for unsteady shock train motions is that the shock train keeps changing its moving speed to change the relative Mach number ahead of shock train to match the varying back-pressure condition. It can be found that the unsteady shock train motion can be predicted well with a theoretical model, which is based on this mechanism. A correlation between the amplitude of shock train motions and some flow parameters was illustrated using an analytical equation, which was confirmed by the experimental results.


Corresponding author

Email address for correspondence:


Hide All
Bruce, P. J. K. & Babinsky, H. 2008 Unsteady shock wave dynamics. J. Fluid Mech. 603, 463473.
Bur, R., Benay, R. & Galli, A. 2006 Experimental and numerical study of forced shock-wave oscillations in a transonic channel. Aerosp. Sci. Technol. 10 (1), 265278.
Culick, F. E. C. & Rogers, T. 1983 The response of normal shocks in diffusers. AIAA J. 21 (1), 13821390.
Gnani, F., Zare-Behtash, H. & Kontis, K. 2016 Pseudo-shock waves and their interactions in high-speed intakes. Prog. Aerosp. Sci. 1, 121.
Hu, J., Chang, J. T., Qin, B. & Wang, L. 2013 Scramjet isolator shock-train leading-edge position modeling based on equilibrium manifold. J. Aerosp. Eng. 64 (4), 18.
Hutzel, J. R., Decker, D. D., Cobb, R. G., King, P. I. & Veth, M. J.2011 Scramjet isolator shock train location techniques. AIAA Paper 2011-402.
Jong, Y. O., Fuhua, M. & ShihYang, H. 2005 Interactions between shock and acoustic waves in a supersonic inlet diffuser. J. Propul. Power 21 (3), 486495.
Klomparens, R. L., Driscoll, J. F. & Gamba, M.2015 Unsteadiness characteristics and pressure distribution of an oblique shock train. AIAA Paper 2015-1519.
Klomparens, R. L., Driscoll, J. F. & Gamba, M.2016 Response of a shock train to downstream back pressure forcing. AIAA Paper 2016-0078.
Lanurence, S. J., Schramm, J. M. & Hannemann, K. 2013 Transient fluid-combustion phenomena in a model scramjet. J. Fluid Mech. 722, 85120.
Le, D. B., Goyne, C. P. & Krauss, R. H. 2008 Shock train leading-edge detection in a dual-mode scramjet. J. Propul. Power 24 (5), 10351041.
Matsuo, K., Miyazato, Y. & Kim, H. D. 1999 Shock train and pseudo-shock phenomena in internal gas flows. Prog. Aerosp. Sci. 35, 33100.
Morgan, B., Duraisamy, K. & Lele, S. K. 2014 Large-eddy simulations of a normal shock train in a constant-area isolator. AIAA J. 52 (3), 539558.
Su, W. Y., Ji, Y. X. & Chen, Y. 2016 Effects of dynamic backpressure on pseudoshock oscillations in scramjet inlet-isolator. J. Propul. Power 32 (2), 113.
Sugiyama, H., Tsujiguchi, Y. & Honma, T.2008 Structure and oscillation phenomena of pseudo-shock waves in a straight square duct at Mach 2 and 4. AIAA Paper 2008-2646.
Sullins, G.1992 Experimental results of shock trains in rectangular ducts. AIAA Paper 1992-5103.
Waltrup, P. J. & Billig, F. S. 1973 Structure of shock waves in cylindrical ducts. AIAA J. 11 (10), 14041408.
Weiss, A., Grzona, A. & Oliver, H. 2010 Behavior of shock trains in a diverging duct. Exp. Fluids 49 (1), 355365.
MathJax is a JavaScript display engine for mathematics. For more information see

JFM classification

Related content

Powered by UNSILO

Analysis and modelling of unsteady shock train motions

  • Bing Xiong (a1), Xiao-qiang Fan (a1), Zhen-guo Wang (a1) and Yuan Tao (a1)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.