The Mathematical Institute, University of Oxford, Eprints Archive

Circulation in inviscid gas flows with shocks

Allwright, D. J. and Kaouri, K. (2004) Circulation in inviscid gas flows with shocks. Applied Mathematics Letters, 17 (7). pp. 767-770.

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Official URL: http://dx.doi.org/10.1016/j.aml.2004.06.003

Abstract

In this note, we show that the circulation $\Gamma=\int_C\mathbf{u}\cdot\mathbf{dx}$ around a closed material curve $C(t)$ in an inviscid gas flow develops according to the equation $\frac{d\Gamma}{dt}=\int_CT\,dS$, even when the curve may cross shocks, with the entropy jumps at the shocks excluded from the right-hand side.

Item Type:Article
Subjects:D - G > Fluid mechanics
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:329
Deposited By:Gareth Wyn Jones
Deposited On:08 Nov 2006
Last Modified:27 Dec 2012 20:37

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