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Thermophysics and Aeromechanics

2018 year, number 4

Mathematical model for axisymmetric steady flow within layered structures with finite or infinitely high bulk viscosity

S.M. Aul’chenko1,В 2, E.S. Vyachkin3, E.A. Vyachkina3, and V.O. Kaledin3


1Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia

2Novosibirsk State University of Architecture and Civil Engineering (SIBSTRIN), Novosibirsk, Russia

3Novokuznetsk Institute (Affiliation) of the Kemerovo State University, Novokuznetsk, Russia

E-mail: aulchsm@mail.ru


Keywords: пултрузионное формование, течение вязкой жидкости, математическое моделирование, композитные материалы
Pages: 631–634

Abstract

A mathematical model was developed for viscous incompressible medium; this model comprises a small parameter for regularization of ill-posed problem. Starting from the analogy with strain problems of axisymmetric laminar structures which include the elastic orthotropic and elastic volume-incompressible layers with a connection to viscous laminar fluid flow, we have developed a method providing a single algorithm for computation of velocity field, stresses, and other parameters of laminar composite material. The example of calculation for the binding agent flow during pultrusion formation is presented.