A note on shock dynamics relative to a moving frame

G. B. Whitham

doi:10.1017/S002211206800025X

Abstract

In this paper it is shown how a previous theory for treating shocks moving into fluid at rest (Whitham 1957, 1959) can be changed to a form suitable for treating propagation into a steady uniform flow. It is necessary only to transform the original theory to a moving frame but the details are not trivial.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Huppert, H. E. and Miles, J. W. 1968. A note on shock diffraction by a supersonic wedge. Journal of Fluid Mechanics, Vol. 31, Issue. 3, p. 455.

Asano, Naruyoshi 1971. Shock waves and non-stationary flow in a duct of varying cross-section. Journal of Fluid Mechanics, Vol. 46, Issue. 1, p. 111.

Kireev, V. T. 1981. Motion of shock waves in an inhomogeneous gas. Fluid Dynamics, Vol. 16, Issue. 1, p. 142.

Pavlov, V. A. 1992. Magnetoacoustic shock waves in a nonuniform plasma flow. Journal of Applied Mechanics and Technical Physics, Vol. 32, Issue. 4, p. 475.

Pierson, W. J. Donelan, M. A. and Hui, W. H. 1992. Linear and nonlinear propagation of water wave groups. Journal of Geophysical Research: Oceans, Vol. 97, Issue. C4, p. 5607.

1995. Reconsideration of the shock-shock relations for the case of a non-quiescent gas ahead of the shock and verification with experiments. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, Vol. 451, Issue. 1942, p. 383.

Han, Z.-Y. and Yin, X.-Z. 1995. Shock Waves @ Marseille IV. p. 325.

Johansson, B Apazidis, N and Lesser, M.B 1999. On shock waves in a confined reflector. Wear, Vol. 233-235, Issue. , p. 79.

1999. Linear and Nonlinear Waves. p. 621.

HAN, ZHAO-YUAN and YIN, XIE-ZHEN 2001. Handbook of Shock Waves. p. 485.

Amur Varadarajan, Prasanna and Roe, Philip 2011. Geometrical shock dynamics and engine unstart.

Geva, M. Ram, O. and Sadot, O. 2018. The regular reflection→Mach reflection transition in unsteady flow over convex surfaces. Journal of Fluid Mechanics, Vol. 837, Issue. , p. 48.

Ridoux, J. Lardjane, N. Monasse, L. and Coulouvrat, F. 2018. Comparison of geometrical shock dynamics and kinematic models for shock-wave propagation. Shock Waves, Vol. 28, Issue. 2, p. 401.

Apazidis, Nicholas and Eliasson, Veronica 2019. Shock Focusing Phenomena. p. 35.

Hermet, Florian Gressier, Jérémie and Binder, Nicolas 2021. Shock motion inside a varying cross-section channel and consequences on the downstream flow. Physical Review Fluids, Vol. 6, Issue. 4,

Iqbal, Azhar Alsharif, Abdullah M. and Albosaily, Sahar 2022. Numerical study of non-linear waves for one-dimensional planar, cylindrical and spherical flow using B-spline finite element method. AIMS Mathematics, Vol. 7, Issue. 8, p. 15417.

Liu, Heng and Eliasson, Veronica 2023. Two-Dimensional Geometrical Shock Dynamics for Blast Wave Propagation and Post-Shock Flow Effects. Aerospace, Vol. 10, Issue. 10, p. 838.

Article contents

A note on shock dynamics relative to a moving frame

Abstract

Access options

References

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

A note on shock dynamics relative to a moving frame

Abstract

Access options

References

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests