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Rarefied gas flow through a pipe of variable square cross section into vacuum |
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| Authors: | V. A. Titarev S. V. Utyuzhnikov E. M. Shakhov |
| Affiliation: | 1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia 2. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia 3. Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 107005, Russia 4. University of Manchester, Manchester, UK, M60 1QD |
| Abstract: | The kinetic S-model is used to study the steady rarefied gas flow through a long pipe of variable cross section joining two tanks with arbitrary differences in pressure and temperature. The kinetic equation is solved numerically by applying a second-order accurate conservative method on an unstructured mesh. The basic quantity to be computed is the gas flow rate through the pipe. The possibility of finding a solution based on the assumption of the plane cross sectional flow is also explored. The resulting solutions are compared with previously known results. |
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