Higherorder effects in transonic and supersonic gasdynamics
Abstract
Steady transonic and supersonic flows governed by the NavierStokes equations are considered. Using perturbation theory to describe transonic flows, the standard method of multiple scales is found impotent in dealing with the secularities. It is shown that transonic flow is essentially a twomode theory. Among a number of results, the surface pressure in transonic flows is found in close agreement with the result by Spreiter and Alksne (1958). Higher approximations in supersonic flows are investigated by onemode theory. Whitham's theory is derived and can be reduced, valid to the second order, by algebraic manipulations. A uniformly valid secondorder theory is presented and a thirdorder theory is considered. Finally, supersonic flows past a number of families of semiinfinite bodies are considered.
 Publication:

Ph.D. Thesis
 Pub Date:
 August 1975
 Bibcode:
 1975PhDT........85H
 Keywords:

 Gas Dynamics;
 Supersonic Flow;
 Transonic Flow;
 Approximation;
 NavierStokes Equation;
 Pressure Distribution;
 Fluid Mechanics and Heat Transfer