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Solutions to forced and unforced Lin-Reissner-Tsien equations for transonic gas flows on various length scales

Abstract:

The Lin-Reissner-Tsien equation is useful for studying transonic gas flows, and has appeared in both forced and unforced forms in the literature. Defining arbitrary spatial scalings, we are able to obtain a family of exact similarity solutions depending on one free parameter in addition to the model parameter holding the scalings. Numerical solutions compare favorably with the exact solutions in regions where the exact solutions are valid. Mixed wave-similarity solutions, which describe wave ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/0253-6102/67/3/309

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Department:
Oxford, MPLS, Mathematical Institute
Theaker, KA More by this author
Publisher:
Institute of Physics Publisher's website
Journal:
Communications in Theoretical Physics Journal website
Volume:
67
Issue:
3
Pages:
309–316
Publication date:
2017-03-05
Acceptance date:
2017-01-11
DOI:
ISSN:
1572-9494 and 0253-6102
Pubs id:
pubs:673271
URN:
uri:ce7cf6f7-ea35-4c48-943d-381d157a60d9
UUID:
uuid:ce7cf6f7-ea35-4c48-943d-381d157a60d9
Local pid:
pubs:673271

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