Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows

ISBN-13: 9781108964883 / Angielski / Miękka / 2021 / 75 str.

Joseph T. C. Liu

Opis

The gas-particle flow problem is formulated with the gas and solid particles out of equilibrium with respect to momentum and thermodynamical slip, as well as mass loss from the particle phase. The nonlinear effects are illustrated by the normal shock wave in which the particle phase undergoes relaxation effects following the gas dynamic shock; other nonlinear effects, such as the oblique shock is discussed. These are followed by a thorough discussion of weak wave in terms of higher order waves in Whitham's sense with analogies to waves in a chemically reacting mixture. The wave structures are analytically obtained as is the flow over thin bodies and the pressure coefficient from idealized boundary conditions. Some relations to other multi-phase flow systems are also discussed.

Spis treści

1. Introduction; 2. Conservation equations of gas-particle flows; 3. Small perturbation equations in a stationary frame; 4. Aerodynamic interpretation of acoustics in gas-particle flows; 5. Steady small-perturbation theory; 6. Some limiting cases; 7. Two-dimensional steady supersonic flow; 8. Approximate consideration based on a 'rarefied' particle cloud; 9. Particle collision with the wall and the normal force; 10. The wall-pressure coefficient; 11. Numerical examples; 12. Relation to other relaxation wave problems; 13. Concluding remarks. Appendix A. Appendix B. References.