ON AN INVARIANT TRANSFORMATION OF EQUATIONS OF ONE-DIMENSIONAL NON-STEADY GAS FLOWS.

Reciprocal relations are constructed for the nonsteady one-dimensional flow of an inviscid gas. A new flow plane (x prime , t prime ), is introduced in addition to the initial space-time flow plane, (x, t). A very general class of solutions is obtained in the (x prime , t prime ) plane by linking a known solution in the (x, t) plane with a four-parameter class of solutions in the (x prime , t prime ) plane, each with its own equation of state. Finally, an extension has been made to cover the (n plus 1) dimensional spherically symmetric flows.