Sound propagation through a rarefied gas. Influence of the gas–surface interaction |
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| Institution: | 1. Departamento de Engenharia Florestal, Universidade Federal de Santa Maria, Centro de Educação Superior Norte do Rio Grande do Sul, Caixa Postal 54, 98400-000 Frederico Westphalen, Brazil;2. Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990 Curitiba, Brazil;1. LAEPT, Blaise Pascal University, Clermont University, 24 avenue des Landais, 63171 Aubière Cedex, France;2. SPCTS, Centre Eurpéen de la Céramique, 12 rue Atlantis, 87068 Limoges Cedex, France;1. Dipartimento di Ingegneria e Architettura (DIA), Università di Parma, Parco Area delle Scienze, 181/A, 43124 Parma, Italy;2. Instituto Interuniversitario de Investigación del Sistema Tierra, Universidad de Granada, Avda. del Mediterráneo s/n, 18006 Granada, Spain;1. G. N. Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russian Federation;2. Paul Scherrer Institute, 5232 Villigen, Switzerland;3. State Scientific Center – Research Institute of Atomic Reactors, 433510 Dimitrovgrad, Russian Federation |
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| Abstract: | Acoustic waves propagating through a rarefied gas between two plates induced by both oscillation and unsteady heating of one of them are considered on the basis of a model of the linearized Boltzmann equation. The gas flow is considered as fully established so that the dependence of all quantities on time is harmonical. The problem is solved for several values of two main parameters determining its solution, namely, the gas rarefaction defined as the ratio of the distance between the plates to the equivalent free path of gaseous molecules, and the oscillation parameter given as the ratio of the intermolecular collision frequency to the wave frequency. The reciprocal relation for such flows is obtained and verified numerically. An influence of the gas–surface accommodation coefficients on the wave characteristics is analyzed by employing the Cercignani–Lampis scattering kernel to the boundary conditions. |
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