Equilibrium shock tube flow of real gases
Abstract
A method for constructing exact solutions to the Riemann problem for the one-dimensional Euler equations of a mixture of chemically reacting gases is presented. The flow is assumed to be in equilibrium. The solution is obtained using a secant iteration method. Riemann invariants and Rankine-Hugoniot conditions are used to calculate the change of flow properties across shock and expansion waves, respectively. The thermodynamic quantities and the laws of mass action, which in combination with mass balances determine the chemical composition of the mixture, are formulated in terms of the partition functions of the gas components. High temperature real gas effects such as molecular vibration and electronic excitations are taken into account. Shock tube data are shown for a shock tube with helium in the driver and air in the driven section. The air is assumed to be composed of nine components. As expected, the results strongly differ from those of an ideal gas, especially for high shock Mach numbers.
- Publication:
-
Shock Tubes and Waves
- Pub Date:
- 1988
- Bibcode:
- 1988stw..proc..663E
- Keywords:
-
- Cauchy Problem;
- Equilibrium Flow;
- Euler Equations Of Motion;
- Gas-Gas Interactions;
- High Temperature Gases;
- Shock Tubes;
- Combustible Flow;
- Iterative Solution;
- Rankine-Hugoniot Relation;
- Fluid Mechanics and Heat Transfer