Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows (Paperback)

Joseph T.C. Liu

ISBN 10: 1108964885 / ISBN 13: 9781108964883

Published by Cambridge University Press, Cambridge, 2021

About this Item

Paperback. 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. Gas-particle flows became relevant in Aerospace Engineering owing to small solid particle additives to alleviate acoustical instabilities in solid propellant rocket motors, thereby motivating the study of a variety of nonlinear and linear waves. Emphasis is placed on fundamental aspects of the relaxation nature of the flow processes. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781108964883

Bibliographic Details

• Title: Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2021
• Language: English
• ISBN 10: 1108964885
• ISBN 13: 9781108964883
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.