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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 2, Pages 158–166 (Mi uzku1207)  

Mathematical Modeling of Dry Gas Dynamic Seals

R. Z. Dautova, M. M. Karchevskya, E. A. Novikovb, E. M. Fedotova, V. K. Khaisanovb

a Kazan (Volga Region) Federal University
b CJSC NIIturbokompressor named after V. B. Shneppe

Abstract: A quasi-three-dimensional thermo-elastic gas dynamic mathematical model of dry gas dynamic seals is developed. A way of its discretization based on finite element method is proposed. An efficient iterative method for solving the corresponding finite-dimensional nonlinear problem is constructed. The results of the parametric calculations, which demonstrate the potential of the developed program complex, are presented.

Keywords: gas dynamic seals, mathematical model, finite element method, iterative methods.

Full text: PDF file (439 kB)
References: PDF file   HTML file
UDC: 519.68
Received: 18.03.2013

Citation: R. Z. Dautov, M. M. Karchevsky, E. A. Novikov, E. M. Fedotov, V. K. Khaisanov, “Mathematical Modeling of Dry Gas Dynamic Seals”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 2, Kazan University, Kazan, 2013, 158–166

Citation in format AMSBIB
\Bibitem{DauKarNov13}
\by R.~Z.~Dautov, M.~M.~Karchevsky, E.~A.~Novikov, E.~M.~Fedotov, V.~K.~Khaisanov
\paper Mathematical Modeling of Dry Gas Dynamic Seals
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 2
\pages 158--166
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1207}


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