On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition

An analytical version of the discrete-ordinates method (the ADO method) is used to establish a solution to the temperature-jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a bi...

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Detalles Bibliográficos
Autores: Knackfuss, Rosenei Felippe, Barichello, Liliane Basso
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/180020
Acceso en línea:http://hdl.handle.net/10183/180020
Access Level:acceso abierto
Palabra clave:Dinâmica de gases
Rarefação
Ordenadas discretas
Kernel de cercignani-lampis
Descripción
Sumario:An analytical version of the discrete-ordinates method (the ADO method) is used to establish a solution to the temperature-jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a binary gas mixture. The gas-surface interaction is described by the Cercignani-Lampis kernel, which is written int therms of two accomodation coefficients. The solution is found to be very accurate and fast. Numerical results are presented not only for the temperature-jump coefficient but also for the density and temperature profiles. In particular, the effect of both accommodation coefficients on the temperature-jump coefficient is analyzed.