The Mathematical Institute, University of Oxford, Eprints Archive
Login

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.

[img]
Preview
PDF
210Kb

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

Repository Staff Only: item control page

EPrints Logo
The Mathematical Institute, University of Oxford, Eprints Archive is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.