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

The gas-particle flow problem is formulated with momentum and thermal slip, and steady planar small perturbation supersonic flow is studied in detail. The surface pressure coefficient is obtained for small-disturbance theory and simplified for the small particle-to-gas mass loading approximation. Martian dust-storm properties are estimated.

\n Format: Paperback / softback
\n Length: 75 pages
\n Publication date: 07 October 2021
\n Publisher: Cambridge University Press
\n

The gas-particle flow problem is formulated in this Element, taking into account momentum and thermal slip, which introduce two relaxation times. The problem is approached by starting from acoustical propagation in a medium in equilibrium and then deriving the relaxation-wave equation in airfoil coordinates through a Galilean transformation for uniform flow. A detailed study of steady planar small perturbation supersonic flow is conducted, following Whitham's higher-order waves. Signals due to wall boundary conditions are damped along the frozen-Mach wave, while they are 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 significantly simplified for the small particle-to-gas mass loading approximation, equivalent to a simple-wave approximation. Other relaxation-wave problems are also discussed. Additionally, estimates of Martian dust-storm properties in terms of gas-particle flow parameters are made.

\n Weight: 126g\n
Dimension: 152 x 229 x 10 (mm)\n
ISBN-13: 9781108964883\n \n