On a gas source in a constant force field |
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Authors: | D V Parshin A P Chupakhin |
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Institution: | (1) Novosibirsk State University, 630090 Novosibirsk;(2) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | The nonbarochronic regular partially invariant submodel of the equations of gas dynamics is studied. The submodel reduces
to an implicit ordinary differential equation of the first order for an auxiliary function X = X(x). The physical quantities
(velocity, density, and pressure) are expressed in terms of the function X. The properties of the solutions of the equation
are investigated and interpreted physically in terms of gas motion. The existence of a shock-wave solution is proved. The
properties of the shock adiabat are studied. It is shown that the results obtained are new and differ significantly from the
results for the case of no constant force.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 6, pp. 3–16, November–December, 2006. |
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Keywords: | partially invariant solution discriminant curve jet space irregular singular point projective change sonic line stationary shock wave |
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