@article{oai:mie-u.repo.nii.ac.jp:00004722,
 author = {Kato, Seizo and 加藤, 征三 and Fujimoto, Tetsuo and 藤本, 哲夫},
 journal = {Research reports of the Faculty of Engineering, Mie University},
 month = {Dec},
 note = {application/pdf, Two free-molecule internal flows through an orifice in a circular tube and through a circular tube with sudden enlargement or contraction, for instance of pipe systems with the change of a cross-sectional area, are analyzed by kinetic theory of gases. Attention is paid to the formulation of the surface-collision density, and then simultaneous integral equations with discontinuous kernel are derived for the up- and downstream circular tubes. Numerical solutions show that the fluid-dynamic effect due to the sudden change of a cross-sectional area brings about a peculiar behavior of the distribution of the surface-collision denstities, and it depends more strongly on the length to diameter ratio than on the degree of enlargement or contraction. The total conductance of tubes having a relatively short length differs significantly from a conductance that is estimated approximately by adding a conductance for each tube element.},
 pages = {29--42},
 title = {Characteristics of Free-Molecule Flow through Pipe Systems with the Change of a Cross-Sectional Area},
 volume = {2},
 year = {1977}
}