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Computer Research and Modeling, 2024, Volume 16, Issue 2, Pages 395–408
DOI: https://doi.org/10.20537/2076-7633-2024-16-2-395-408
(Mi crm1168)
 

MODELS IN PHYSICS AND TECHNOLOGY

Numerical study of Taylor – Cuetta turbulent flow

Z. M. Malikov, F. X. Nazarov, M. E. Madaliev

Institute of Mechanics and Seismic Stability of Structures named after M. T. Urazbaev, 33 Durmon yuli, Tashkent, 100125, Uzbekistan
References:
Abstract: In this paper, the turbulent Taylor – Couette flow is investigated using two-dimensional modeling based on the averaged Navier – Stokes (RANS) equations and a new two-fluid approach to turbulence at Reynolds numbers in the range from 1000 to 8000. The flow due to a rotating internal and stationary external cylinders. The case of ratio of cylinder diameters 1:2 is considered. It is known that the emerging circular flow is characterized by anisotropic turbulence and mathematical modeling of such flows is a difficult task. To describe such flows, either direct modeling methods are used, which require large computational costs, or rather laborious Reynolds stress methods, or linear RANS models with special corrections for rotation, which are able to describe anisotropic turbulence. In order to compare different approaches to turbulence modeling, the paper presents the numerical results of linear RANS models SARC, SST-RC, Reynolds stress method SSG/LRR-RSM-w2012, DNS direct turbulence modeling, as well as a new two-fluid model. It is shown that the recently developed twofluid model adequately describes the considered flow. In addition, the two-fluid model is easy to implement numerically and has good convergence.
Keywords: rotating flow, Reynolds-averaged Navier – Stokes equations, SSG/LRR-RSM-w2012 model, SARC model, SST-RC model, new two-fluid model, DNS method

Revised: 14.03.2023
Accepted: 19.10.2023
Document Type: Article
UDC: 532.5-1/-9
Language: Russian
Citation: Z. M. Malikov, F. X. Nazarov, M. E. Madaliev, “Numerical study of Taylor – Cuetta turbulent flow”, Computer Research and Modeling, 16:2 (2024), 395–408
Citation in format AMSBIB
\Bibitem{MalNazMad24}
\by Z.~M.~Malikov, F.~X.~Nazarov, M.~E.~Madaliev
\paper Numerical study of Taylor – Cuetta turbulent flow
\jour Computer Research and Modeling
\yr 2024
\vol 16
\issue 2
\pages 395--408
\mathnet{http://mi.mathnet.ru/crm1168}
\crossref{https://doi.org/10.20537/2076-7633-2024-16-2-395-408}
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