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The helical motions of a gas, invariant under uniform motion of the frame of reference

โœ Scribed by A.F. Mustayev; S.V. Khabirov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
550 KB
Volume
65
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

An invariant submodel of ideal gas dynamics is investigated within the framework of the PODMODELI program. This submodel is constructed in a two-dimensional subalgebra, consisting of a Galilean transport operator and the sum of the transport and rotation operators. An original group property of the submodel is found: the permitted algebra is wider than the normalizer factor of the subalgebra being considered. A group classification of the submodel is carried out. A physical interpretation of the invariant solution is given. A number of exact solutions are considered: a self-similar solution and solution with a linear stream function. The conditions for the solution to be analytic on the axis of symmetry of the motion are derived.

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