Modeling and Simulation of the Pressure Field in the Association of Cylindrical-Conical-Cylindrical Tubes in High and Ultra-high Vacuum

Analytical and numerical calculations are presented to obtain the pressure field and its gradient along a series association of cylindrical, conical, and cylindrical tubes. The phenomenon of gas transport is assumed to be a diffusion process that occurs in a molecular regime, a fact that is observed...

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Bibliographic Details
Published inBrazilian journal of physics Vol. 53; no. 6
Main Authors Degasperi, F. T., Saretti, G. G., Ricotta, R. M., Rocha, T. M.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2023
Springer Nature B.V
Subjects
Consistency tests
Gas transport
General and Applied Physics
High vacuum
Monte Carlo simulation
Outgassing
Physics
Physics and Astronomy
Transport phenomena
Tubes
Molecular regime
Monte Carlo method
Mathematical modeling
Diffusion equation
Vacuum technology
Tubes in vacuum
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Summary:Analytical and numerical calculations are presented to obtain the pressure field and its gradient along a series association of cylindrical, conical, and cylindrical tubes. The phenomenon of gas transport is assumed to be a diffusion process that occurs in a molecular regime, a fact that is observed, in general, in systems under high vacuum, ultra-high vacuum, and extremely high vacuum. The pressure field, in addition to being calculated as a solution to the diffusion equation, was also obtained by the Monte Carlo method by simulation using the Molflow program; both solutions were obtained under the same geometric and physical conditions (outgassing rates of the tubes and effective pumping speeds). The comparison of the results of the two methodologies showed excellent agreement, evidencing the confidence in the presented analytical method. The calculation of the total throughput by different routes was implemented as a consistency test of the methodology, and a discussion of the modeling achievements is systematically presented.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-023-01361-2