{"product_id":"mach-wave-and-acoustical-wave-structure-in-nonequilibrium-gas-particle-flows","title":"Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003eThe 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. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\\n                                                            \u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\\n                              \u003cstrong\u003eLength\u003c\/strong\u003e: 75 pages\u003cbr\u003e\\n                              \u003cstrong\u003ePublication date\u003c\/strong\u003e: 07 October 2021\u003cbr\u003e\\n                              \u003cstrong\u003ePublisher\u003c\/strong\u003e: Cambridge University Press\u003cbr\u003e\\n                          \u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThe 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.\u003c\/p\u003e\u003cp\u003e\\n                            \u003cstrong\u003eWeight\u003c\/strong\u003e: 126g\\n                            \u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 152 x 229 x 10 (mm)\\n                            \u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9781108964883\\n                            \\n                          \u003c\/p\u003e","brand":"Joseph T. C.Liu","offers":[{"title":"Paperback \/ softback","offer_id":44095040192762,"sku":"9781108964883","price":17.14,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/05bb2dd8055742141c335ac1da9479a2.jpg?v=1637902822","url":"https:\/\/shulphink.com\/products\/mach-wave-and-acoustical-wave-structure-in-nonequilibrium-gas-particle-flows","provider":"Shulph Ink","version":"1.0","type":"link"}