An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. III. Evaporation and condensation problems |
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Authors: | C S Scherer L B Barichello |
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Institution: | 1. Programa de Pós-Gradua??o em Engenharia Mecanica, Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite 425, 90050-170, Porto Alegre, RS, Brazil 2. Universidade do Vale do Rio dos Sinos, Unisinos, S?o Leopoldo, RS, Brazil 3. Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Av. Bento Gon?alves 9500, Cx. Postal 15080, 91509-900, Porto Alegre, RS, Brazil
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Abstract: | An analytical version of the discrete-ordinates method, the ADO method, is used here to solve two problems in the rarefied gas dynamics field, that describe evaporation/condensation between two parallel interfaces and the case of a semi-infinite medium. The modeling of the problems is based on a general expression which may represent four different kinetic models, derived from the linearized Boltzmann equation. This work is an extension of two other previous works, devoted to rarefied gas flow and heat transfer problems, where the complete development of the ADO solution, which is analytical in terms of the spatial variable, is presented in a way, such that, the four kinetic models are considered, in an unified approach. A series of numerical results are showed in order to establish a general comparative analysis between this consistent set of results provided by the same methodology, based on kinetic models, and results obtained from the linearized Boltzmann equation. In particular, the temperature and density jumps are evaluated. |
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