Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows
Paperback 75 pages English Sep 17, 2021
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Cambridge University Press
Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows
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In this Element, the gas-particle flow problem is formulated with momentum and thermal slip that introduces two relaxation times. Starting from acoustical propagation in a medium in equilibrium, the relaxation-wave equation in airfoil coordinates is derived though a Galilean transformation for uniform flow. Steady planar small perturbation supersonic flow is studied in detail according to Whitham's higher-order waves. The signals owing to wall boundary conditions are damped along the frozen-Mach wave, and are both damped and diffusive along an effective-intermediate Mach wave and diffusive along the equilibrium Mach wave where the bulk of the disturbance propagates. The surface pressure coefficient is obtained exactly for small-disturbance theory, but it is considerably simplified for the small particle-to-gas mass loading approximation, equivalent to a simple-wave approximation. Other relaxation-wave problems are discussed. Martian dust-storm properties in terms of gas-particle flow parameters are estimated.
- Author:
- Joseph T. C. Liu
- Publisher:
- Cambridge University Press
- Publication Date:
- Sep 17, 2021
- Number of pages:
- 75 pages
- Language:
- English
- Binding:
- Paperback
- ISBN-10:
- 1108964885
- ISBN-13:
- 9781108964883