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    Reynolds-averaged modeling of turbulent flows of power-law fluids
[Text] / A. A. Gavrilov, V. Y. Rudyak // J. Non-Newton. Fluid Mech. - 2016. - Vol. 227. - P45-55, DOI 10.1016/j.jnnfm.2015.11.006. - Cited References:24. - This work was supported by the Russian Scientific Foundation (Contract no. 14-19-00312). . - ISSN 0377-0257. - ISSN 1873-2631
РУБ Mechanics

Аннотация: The paper presents a novel Reynolds-averaged turbulence model for flows of power-law fluid. The model uses the elliptic relaxation approach to capture the near-wall turbulence anisotropy. The turbulence model for Newtonians fluids is modified by introducing closed approximations of correlations between velocity and viscosity fluctuations. The approximation for non-Newtonian extra stress is derived with the assumption of smallness of molecular viscosity fluctuations. A closed model for the averaged molecular viscosity is derived which takes into account its nonlinear dependence on the shear rate. Validation of the model against the direct numerical simulation (DNS) data for power-law fluids flows in the pipe demonstrates that new model is able to predict the main features of the non-Newtonian turbulence. Mean velocity, turbulent energy and averaged molecular viscosity distributions agree well with DNS data. (c) 2015 Published by Elsevier B.V.

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Держатели документа:
ICM SB RAS, Inst Thermophys SB RAS, Krasnoyarsk Branch, 50-44 Akad Gorodok, Krasnoyarsk 660036, Russia.
Novosibirsk State Univ Architecture & Civil Engn, 113 Leningradskaya Str, Novosibirsk 630008, Russia.

Доп.точки доступа:
Gavrilov, Andrey A.; Rudyak, Valeriy Ya; Russian Scientific Foundation [14-19-00312]