{"product_id":"mach-wave-and-acoustical-wave-structure-in-nonequilibrium-gas-particle-flows-9781108964883","title":"Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows","description":"\u003cp\u003e • Author(s): Joseph T. C. Liu\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Materials Science - General\u003c\/p\u003e\u003cp\u003eIn 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":47779774365847,"sku":"9781108964883","price":2290.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781108964883.webp?v=1778039261","url":"https:\/\/atlanticbooks.com\/products\/mach-wave-and-acoustical-wave-structure-in-nonequilibrium-gas-particle-flows-9781108964883","provider":"Atlantic Books","version":"1.0","type":"link"}