Computation of Hypersonic Shock Wave Flows of Multi-Component Reactive Gas Mixtures Using the Generalized Boltzmann Equation
Abstract
The objective of this project has been to develop a computational methodology and a code for computing hypersonic non-equilibrium shock wave flows of multi-component reactive gas mixtures of diatomic gases using the Generalized Boltzmann Equation (same as the Wang-Chang Uhlenbeck equation which accounts for the degenerate energy levels) at Knudsen numbers in transitional and rarefied flow regimes. A 3D Generalized Boltzmann Equation (GBE) solver has been developed for a Cartesian mesh. The solver has been validated by computing the ID shock structure in nitrogen for both Rotational-Translational (R-T) and Vibrational Translation (V-T) relaxations, and comparing the numerical results with the experimental data for Mach numbers up to 15. The solver has been exercised successfully for computing the 2- and 3- D blunt body flows in nitrogen for RT relaxations. A methodology has also been developed to compute the shock structure in a non-reactive mixture of two diatomic gases. To accomplish this, the GBE is formulated and solved in "impulse space" instead of velocity space. A new two-level kinetic model has also been developed for computing the RT relaxations in a diatomic gas and has been validated by comparing the results with the solutions of GBE.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 27, 2009
- Accession Number
- ADA498258
Entities
People
- Ramesh K. Agarwal
Organizations
- University of Washington