Species separation in a curved shock wave in supersonic flow of a gas mixture
Abstract
An analytical model and associated numerical algorithm are developed for predicting species separation and modified Rankine-Hugoniot conditions downstream of a curved two-dimensional shock wave in a binary gas mixture. The treatment is based on combining Chow's (1965) formulation with the shock structure results of Sherman (1960) and the oblique shock relations reported by Liepmann and Roshko (1957). The effects of mixture initial Mach number, initial mole fraction, free-stream Reynolds number, component mass ratio, and shock standoff distance are evaluated. In particular, the location of the center of the zeroth order shock is essential to the computation of the first order dependent variables. Other conclusions are that the species separation increases with increasing mixture initial Mach number and decreases with increasing values of the polar angle and free-stream Reynolds number. The model is not valid for Mach number greater than 3 and for large mass ratio since the continuum models of Chow and Sherman are invalid under these conditions.
- Publication:
-
Modern Developments in Shock Tube Research
- Pub Date:
- 1975
- Bibcode:
- 1975mdst.symp..292H
- Keywords:
-
- Gas Mixtures;
- Rankine-Hugoniot Relation;
- Separated Flow;
- Shock Waves;
- Supersonic Flow;
- Binary Mixtures;
- Free Flow;
- Graphs (Charts);
- Ideal Gas;
- Runge-Kutta Method;
- Fluid Mechanics and Heat Transfer