Notes on the unsteady rectilinear motion of a perfect gas. Part 6: On a transformation of Staniukovich and its generalization
Abstract
A transformation which transforms a differential equation for p(h, t) in a homentropic flow into a differential equation for p sub 1 (h sub 1, t) in a flow of a LudfordMartinStaniukovich gas is applied to the general theory of transformations of the equations of motion for the unsteady rectilinear flow of a perfect gas. The Staniukovich transformation is generalized, resulting in a three parameter continuous transformation group. The infinitesimal operators of the group are obtained and the invariance of a number of differential equations under the transformation is established.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1982
 Bibcode:
 1982STIN...8310399S
 Keywords:

 Differential Equations;
 Ideal Gas;
 Transformations (Mathematics);
 Unsteady Flow;
 Distribution Moments;
 Entropy;
 Equations Of Motion;
 Invariance;
 Operators (Mathematics);
 Fluid Mechanics and Heat Transfer