Kinetic Models for a Gas Filled Porous Matrix. WAVE PROPAGATION |
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Authors: | De Socio L M Ianiro N Ponziani D |
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Institution: | (1) Dipartimento di Meccanica ed Aeronautica, Università di Roma La Sapienza , via Eudossiana 18, 00184 Roma, Italy;(2) Dipartimento ME.MO.MAT, Universitá di Roma La Sapienza , Via Scarpa 10, 00161 Roma, Italy |
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Abstract: | The propagation of small perturbation in a gas filled porous matrix is investigated. The skeleton is supposed rigid and governed by the energy balance equation, where the heat exchanged between the two phases is taken into account. The Boltzmann equation is written for the gas where the integrals of the collisions between gas and solid particles are evaluated as those for the particles of a mixture. Different choices of the time and space scales lead to models equations which hold for different rarefaction regimes. The wave propagation characteristics are then dealt with in various situations. |
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Keywords: | Boltzmann equation porous medium waves dispersion equation |
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