Uniformly valid analytical solution to the problem of a decaying shock wave

Sharma, V. D. ; Ram, Rishi ; Sachdev, P. L. (1987) Uniformly valid analytical solution to the problem of a decaying shock wave Journal of Fluid Mechanics, 185 . pp. 153-170. ISSN 0022-1120

Full text not available from this repository.

Official URL: http://journals.cambridge.org/action/displayAbstra...

Related URL: http://dx.doi.org/10.1017/S0022112087003124


An explicit representation of an analytical solution to the problem of decay of a plane shock wave of arbitrary strength is proposed. The solution satisfies the basic equations exactly. The approximation lies in the (approximate) satisfaction of two of the Rankine-Hugoniot conditions. The error incurred is shown to be very small even for strong shocks. This solution analyses the interaction of a shock of arbitrary strength with a centred simple wave overtaking it, and describes a complete history of decay with a remarkable accuracy even for strong shocks. For a weak shock, the limiting law of motion obtained from the solution is shown to be in complete agreement with the Friedrichs theory. The propagation law of the non-uniform shock wave is determined, and the equations for shock and particle paths in the (x, t)-plane are obtained. The analytic solution presented here is uniformly valid for the entire flow field behind the decaying shock wave.

Item Type:Article
Source:Copyright of this article belongs to Cambridge University Press.
ID Code:33849
Deposited On:30 Mar 2011 13:35
Last Modified:30 Mar 2011 13:35

Repository Staff Only: item control page