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Mach wave and acoustical wave structure in nonequilibrium gas-particle flows / Joseph T. C. Liu.

By: Liu, Joseph T. C [author.].
Material type: materialTypeLabelBookSeries: Cambridge elementsElements in aerospace engineering: Publisher: Cambridge : Cambridge University Press, 2021Description: 1 online resource (66 pages) : digital, PDF file(s).Content type: text Media type: computer Carrier type: online resourceISBN: 9781108990585 (ebook).Subject(s): Gas dynamics | Gas flow | Shock waves | Sound-waves | Nonequilibrium thermodynamicsAdditional physical formats: Print version: : No titleDDC classification: 533.2 Online resources: Click here to access online Summary: 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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Title from publisher's bibliographic system (viewed on 11 Oct 2021).

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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