An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
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Authors: | C S Scherer J F Prolo Filho 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, Brasil 2. Universidade do Vale do Rio dos Sinos, Unisinos, S?o Leopoldo, RS, Brasil 3. Programa de Pós-Gradua??o em Matemática Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brasil 4. Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Av. Bento Gon?alves, 9500 – Campus do Vale, 91509–900, Porto Alegre, RS, Brasil
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Abstract: | The ADO method, an analytical version of the discrete-ordinates method, is used here to solve a heat-transfer problem in a
rarefied gas confined in a channel, as well as to solve a half-space problem in order to evaluate the temperature jump at
the wall. This work is an extension of a previous work, devoted to flow problems, where the complete development of the solution,
which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are
considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to
establish a general comparative analysis based on this consistent set of results provided by the same methodology. In particular,
numerical results for heat-flow profile, temperature and density perturbations are obtained for channels (walls), defined
by different materials, on which different temperatures are imposed. |
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Keywords: | " target="_blank"> Rarefied gas dynamics Boltzmann equation kinetic models temperature jump heat transfer ADO method |
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