A Mathematical Model for Outgassing and Contamination

Autor:	E. Epstein, M. Shillor, W. Fang, J. McNiel, C. Ly, Edward D. Zaron, E. Stahel
Rok vydání:	1991
Předmět:	Physics Convection Outgassing Uniqueness theorem for Poisson's equation Mathematical model Applied Mathematics Mass transfer Thermodynamics Uniqueness Mechanics Diffusion (business) Convection–diffusion equation
Zdroj:	SIAM Journal on Applied Mathematics. 51:1327-1355
ISSN:	1095-712X 0036-1399
Popis:	A model for the mathematical description of the processes of outgassing and contamination in a vacuum system is proposed. The underlying assumptions are diffusion in the source, convection and diffusion in the cavity, mass transfer across the source-cavity interface, and a generalization of the Langmuir isotherm for the sorption kinetics on the target. Three approximations are considered where the asymptotic behavior of the model for large time is shown as well as the dependence and sensitivity of the model on some of the parameters. Some numerical examples of the full model are then presented together with a proof of the uniqueness of the solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bf0455e38059dd3f0e4395a7e865b397 https://doi.org/10.1137/0151067 Zobrazit plný text záznamu