|

Comparing Turbulence Models for Swirling Flows

Authors: Nazarov F.Kh. Published: 12.05.2021
Published in issue: #2(95)/2021  
DOI: 10.18698/1812-3368-2021-2-25-36

 
Category: Mathematics and Mechanics | Chapter: Computational Mathematics  
Keywords: turbulence model, two-fluid dynamics, SARC model, swirling flow, Navier --- Stokes equations, implicit scheme

The paper considers a turbulent fluid flow in a rotating pipe, known as the Taylor --- Couette --- Poiseuille flow. Linear RANS models are not suitable for simulating this type of problems, since the turbulence in these flows is strongly anisotropic, which means that solving these problems requires models accounting for turbulence anisotropy. Modified linear models featuring corrections for flow rotations, such as the SARC model, make it possible to obtain satisfactory solutions. A new approach to turbulence problems has appeared recently. It allowed a novel two-fluid turbulence model to be created. What makes this model different is that it can describe strongly anisotropic turbulent flows; moreover, it is easy to implement numerically while not being computationally expensive. We compared the results of solving the Taylor --- Couette --- Poiseuille flow problem using the novel two-fluid model and the SARC model. The numerical investigation results obtained from the novel two-fluid model show a better agreement with the experimental data than the results provided by the SARC model

References

[1] Spalart P.R., Allmaras S.R. A one-equation turbulence model for aerodynamic flows. 30th Aerospace Sciences Meeting and Exhibit, 1992, no. 1992-0439. DOI: https://doi.org/10.2514/6.1992-439

[2] Versteegh Т.А., Nieuwstadt T.M. Turbulent budgets of natural convection in an infinite, differentially heated, vertical channel. Int. J. Heat Fluid Flow, 1998, vol. 19, iss. 2, pp. 135--149. DOI: https://doi.org/10.1016/S0142-727X(97)10018-2

[3] Boudjemadi R., Маupu V., Laurence D., et al. Direct numerical simulation of natural convection in a vertical channel: a tool for second-moment closure modelling. In: Engineering Turbulence Modelling and Experiments. Elsevier, 1996, pp. 39--48. DOI: https://doi.org/10.1016/B978-0-444-82463-9.50010-1

[4] Peng S.H., Davidson L. Large eddy simulation of turbulent buoyant flow in a confined. Int. J. Heat Fluid Flow, 2001, vol. 22, iss. 3, pp. 323--331. DOI: https://doi.org/10.1016/S0142-727X(01)00095-9

[5] Garbaruk A.V., Strelets M.Kh., Shur M.L. Modelirovanie turbulentnosti v raschetakh slozhnykh techeniy [Turbulence modeling in calculation of complex flows]. St. Petersburg, St. Petersburg Univ. Publ., 2012.

[6] Frolich J., von Terzi D. Hybrid LES/RANS methods for the simulation of turbulent flows. Prog. Aerosp. Sci., 2008, vol. 44, iss. 5, pp. 349--377. DOI: https://doi.org/10.1016/j.paerosci.2008.05.001

[7] Haase W., Braza M., Revell A., eds. DESider --- a European effort on hybrid RANS-LES modelling. Results of the European-Union Funded Project. Series Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 103. Berlin, Heidelberg, Springer, 2009. DOI: 10.1007/978-3-540-92773-0

[8] Malikov Z. Mathematical model of turbulence based on the dynamics of two fluids. Appl. Math. Model., 2020, vol. 82, pp. 409--436. DOI: https://doi.org/10.1016/j.apm.2020.01.047

[9] Imao S., Itoh M., Harada T. Turbulent characteristics of the flow in an axially rotating pipe. Int. J. Heat Fluid Flow, 1996, vol. 17, iss. 5, pp. 444--451. DOI: https://doi.org/10.1016/0142-727X(96)00057-4

[10] Roback R., Johnson B.V. Mass and momentum turbulent transport experiments with confined swirling coaxial jets. NASA, 1983.

[11] Poroseva S.V. Wall corrections in modeling rotating pipe flows. Centre for Turbulence Research, 2001.

[12] Malikov Z.M., Madaliev M.E. Numerical simulation of two-phase flow in centrifugal separator. Prikladnaya matematika i mekhanika, 2020, vol. 84, no. 5, pp. 590--611 (in Russ.). DOI: https://doi.org/10.31857/S0032823520050057

[13] Nazarov F.Kh., Malikov Z.M., Rakhmanov N.M. Simulation and numerical study of two-phase flow in a centrifugal dust catcher. J. Phys.: Conf. Ser., vol. 1441, art. 012155. DOI: https://doi.org/10.1088/1742-6596/1441/1/012155

[14] Nazarov F.X., Khasanov S.M., Yakubov A.A. Computational experiment of swirling flows of turbulence models SA and SST. IJRTE, 2019, vol. 8, no. 4, pp. 2140--2144.

[15] Shih T.H., Zhu J., Liou W., et al. Modeling of turbulent swirling flows. NASA, 1997.