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