Applications of invariant transformations in one-dimensional non-steady gasdynamics
Open Access
- 1 January 1974
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 32 (3) , 241-251
- https://doi.org/10.1090/qam/99682
Abstract
Certain reciprocal and adjoint transformations available for one-dimensional non-steady gasdynamic flow are applied to an existing solution to construct new exact solutions of the governing equations. The particle trajectories and the pressure-density relations on these trajectories are calculated. An application of the adjoint transformation in studying the flow between a piston and a non-uniform shock wave is indicated.Keywords
This publication has 16 references indexed in Scilit:
- Invariant transformations in non-steady gasdynamics and magneto-gasdynamicsZeitschrift für angewandte Mathematik und Physik, 1969
- Reciprocal relations in non-steady one-dimensional gasdynamicsZeitschrift für angewandte Mathematik und Physik, 1968
- On an invariant transformation of equations of one-dimensional unsteady motion of an ideal compressible fluidJournal of Applied Mathematics and Mechanics, 1967
- Transformation and some solutions of the equations of motion of an ideal gasFluid Dynamics, 1966
- On the method of invariant transformations of the gas-dynamics equationsJournal of Applied Mathematics and Mechanics, 1965
- On an exact solution of the equations of magneto-gas-dynamics of finite conductivityJournal of Applied Mathematics and Mechanics, 1965
- Some reciprocal relations in rotational magnetogasdynamic flowZeitschrift für angewandte Mathematik und Physik, 1964
- Invariant transformation of the equations of motion of an ideal monatomic gas and new classes of their exact solutionsJournal of Applied Mathematics and Mechanics, 1963
- Two-Dimensional Subsonic Flow of Compressible FluidsJournal of the Aeronautical Sciences, 1939
- ber adjungierte Variationsprobleme und adjungierte Extremalfl chenMathematische Annalen, 1928