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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

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.

UDC: 519.68

Received: 18.03.2013



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