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Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows by Joseph T. C. Liu

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

by Joseph T. C. Liu
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Book cover type: Paperback
  • ISBN13: 9781108964883
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 78
  • Original Price: GBP 18.0
  • Language: English
  • Edition: N/A
  • Item Weight: 118 grams
  • BISAC Subject(s): Materials Science / General

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.

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