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Circulation in inviscid gas flows with shocks

Abstract:

In this note, we show that the circulation Γ=∫C u.dx around a closed material curve C(t) in an inviscid gas flow develops according to the equation dΓ⁄dΓ = ∫C T dS, even when the curve may cross shocks, with the entropy jumps at the shocks excluded from the right-hand side.

Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.aml.2004.06.003

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematics, Mathematical Inst
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematics, Mathematical Inst
Publisher:
Elsevier B.V. Publisher's website
Publication date:
2004-07-05
DOI:
URN:
uuid:146a39f8-a1ea-407e-87c0-8ccf7acdccc1
Local pid:
oai:eprints.maths.ox.ac.uk:329
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