Abstract
A transformation is constructed of the independent variables and the unknown functions for the momentum and continuity equations of which one-dimensional unsteady motions of a perfect gas, relative to which the governing system of equations is invariant.
When this transformation is used, the governing equation of state of the gas is transformed into a new equation which contains arbitrary parameters. This may enable approximation of the complex equation of state of a given medium to be carried out by selection of the parameters (in particular, for gases with respect of the equilibrium reactions taking place therein), and the use of this transformation may make it possible to reduce the problem to one with a simpler equation of state, for which the corresponding problem is more easily solved.
The transformations investigated do not have singularities and do not impose any significant limitations on the hydrodynamic quantitiesthey are applicable both for variable entropy and for flows with shock waves.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. E. Kochin, I. A. Kibel, and N. V. Roze, Theoretical Hydromechanics [in Russian], Part 2, Fizmatgiz, 1963.
R. von Mises, Mathematical Theory of Flows of a Compressible Fluid [Russian translation], Izd. inostr. lit., 1961.
L. D. Landau and E. M. Lifshitz, Statistical Physics [in Russian], Izd-vo Nauka, 1964.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Movsesyan, L.A. On the theory of one-dimensional unsteady motions of an ideal compressible fluid. Fluid Dyn 1, 110–112 (1966). https://doi.org/10.1007/BF01013834
Issue Date:
DOI: https://doi.org/10.1007/BF01013834