Article information

2012 , Volume 17, ¹ 1, p.44-56

Gavrilov A.A., Minakov A.V., Dekterev A.A., Rudyak V.Y.

Numerical algorithm for fully developed laminar flow of a non-Newtonian fluid through an eccentric annulus

A numerical algorithm for the fully developed laminar flow of a non-Newtonian viscous-plastic fluid through an eccentric annulus with rotated inner cylinder is presented. The numerical scheme is based on the finite volume method and SIMPLEC algorithm for the pressure-velocity coupling. Pressure gradient in the stream wise direction is determined by integral force balance. To model flows of fluid with a yield stress, a viscosity regularisation method is used. Simulations are performed for various geometrics and flow regimes. In some cases comparisons between numerical calculations and known analytical solutions or experimental results are presented. The calculations are in good quantitative agreement with the available test data.

[full text]
Keywords: finite volume method, SIMPLE procedure, non-Newtonian fluid, laminar flow

Author(s):
Gavrilov Andrey Anatolyevich
PhD.
Position: Research Scientist
Office: Krasnoyarsk branch of Institute of ThermophysicsSibirian Branch of Russian Academy of Sciences
Address: 660036, Russia, Krasnoyarsk, 50/44 Akademgorodok
Phone Office: (391) 2494726
E-mail: gavand@yandex.ru
SPIN-code: 3054-3567

Minakov Andrey Viktorovich
PhD.
Position: Senior Fellow
Office: Siberian Federal University
Address: 660036, Russia, Krasnoyarsk, 50/44 Akademgorodok
Phone Office: (391) 2494726
E-mail: tov-andrey@yandex.ru

Dekterev Alexandr Anatolyevich
PhD.
Position: Senior Research Scientist
Office: Institute of Thermophysics SB of RAS
Address: 660090, Russia, Novosibirsk, avenue Akademika Lavrenteva,1
Phone Office: (391) 2494726
E-mail: dekterev@mail.ru
SPIN-code: 9100-0502

Rudyak Valery Yakovlevich
Dr. , Professor
Position: Head of Chair
Office: Novosibirsk State University of Architecture and Civil Engineering
Address: 630008, Russia, Novosibirsk, 113, Leningradskaya str.
Phone Office: (383) 266-80-14
E-mail: Valery.Rudyak@mail.ru


Bibliography link:
Gavrilov A.A., Minakov A.V., Dekterev A.A., Rudyak V.Y. Numerical algorithm for fully developed laminar flow of a non-Newtonian fluid through an eccentric annulus // Computational technologies. 2012. V. 17. ¹ 1. P. 44-56
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