On an invariant transformation of equations of onedimensional nonsteady gas flows
Abstract
Reciprocal relations are constructed for the unsteady onedimensional flow of an inviscid gas using suitable transformations under which the basic equations of gasdynamics remain invariant. A new flow plane, (x prime, t prime) is introduced in addition to the initial spacetime flow plane, (x,t). A very general class of solutions is obtained in the (x prime, t prime) plane by linking a known solution on the (x,t) plane with a fourparameter class of solutions in the (x prime, t prime) plane, each with its own equation of state. The procedure is extended to the case of (n plus 1) dimensional spherically symmetrical flows.
 Publication:

Revue Roumaine des Sciences Techniques Serie de Mecanique Appliquee
 Pub Date:
 June 1976
 Bibcode:
 1976RvRST..21..211S
 Keywords:

 Gas Dynamics;
 Gas Flow;
 Inviscid Flow;
 Nonequilibrium Flow;
 One Dimensional Flow;
 Equations Of State;
 Hypergeometric Functions;
 Invariance;
 Real Gases;
 Transformations (Mathematics);
 Fluid Mechanics and Heat Transfer