RAS Energy, Mechanics & ControlПрикладная математика и механика Journal of Applied Mathematics and Mechanics

  • ISSN (Print) 0032-8235
  • ISSN (Online) 3034-5758

STRUCTURE OF A LOCALLY TURBULENT FLOW FORMED WHEN A PART OF THE FLUID LEAVES INTO THE SIDE BRANCH OF A CIRCULAR TUBE

PII
S3034575825050023-1
DOI
10.7868/S3034575825050023
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 89 / Issue number 5
Pages
703-717
Abstract
The results of a numerical study of unsteady viscous fluid flow in the area of the branching of a circular cross-section channel at an angle of 60° are presented for four values of the inlet Re number that are less than or equal to 1475; in the upstream region, the channel flow is assumed to be unperturbed and fully-developed. The main results relate to the case of equality of the flow rates in two branches, with flow separation regions in both branches. It was shown, in particular, that at Re = 750, intense quasi-periodic oscillations develop in the computational domain due to the Kelvin-Helmholtz instability. At Re = 1475, a zone of locally turbulent motion is formed in the flow, the size of which depends on the proportion of the flow going into the side branch. The vortex pattern of the flow and the type of the velocity pulsation spectrum at various points in the region are analyzed.
Keywords
численное моделирование динамика вязкой жидкости разветвление канала отрывное течение гидродинамические неустойчивости локальная турбулентность
Date of publication
01.05.2025
Year of publication
2025
Number of purchasers
0
Views
16

References

  1. 1. Mallinger F., Drikakis D. Instability in three-dimensional unsteady stenotic flows // Int. J. Heat Fluid Flow. 2002. V. 23. P. 657–663. https://doi.org/10.1016/S0142-727X (02)00161-3
  2. 2. Sherwin S. J., Blackburn H. M. Three-dimensional instabilities of steady and pulsatile axisymmetric stenotic flows // J. Fluid Mech. 2005. V. 533. P. 297–327. https://doi.org/10.1017/S0022112005004271
  3. 3. Varghese S.S., Frankel S.H., Fischer P.F. Direct numerical simulation of stenotic flows. Part 1. Steady flow // J. Fluid Mech. 2007. V. 582. P. 253–280 https://doi.org/10.1017/S0022112007005848
  4. 4. Varghese S.S., Frankel S.H., Fischer P.F. Direct numerical simulation of stenotic flows. Part 2. Pulsatile flow // J. Fluid Mech. 2007. V. 582. P. 281–318. https://doi.org/10.1017/S0022112007005836
  5. 5. Paul M.C., Molla M.M. Investigation of physiological pulsatile flow in a model arterial stenosis using large-eddy and direct numerical simulations // Appl. Math. Modelling. 2012. V. 36. № 9. P. 4393–4413. https://doi.org/10.1016/j.apm.2011.11.065
  6. 6. Choi W., Park J.H., Byeon H. et al. Flow characteristics around a deformable stenosis under pulsatile flow condition // Physics of Fluids. 2018. Vol. 30. № 1. P. 1–11. https://doi.org/10.1063/1.5009063
  7. 7. Freidoonimehr N., Chin R., Zander A. et al. Effect of shape of the stenosis on the hemodynamics of a stenosed coronary artery // Physics of Fluids. 2021. V. 33. № 8. P. 081914. https://doi.org/10.1063/5.0058765
  8. 8. Гатаулин Я.А., Смирнов Е.М. Численное исследование структуры и локальной турбулизации течения в кровеносном сосуде с односторонним стенозом // Науч.-техн. вед. СПбГПУ. Физ.-мат. науки. 2021. Т. 14. № 1. С. 72–84.
  9. 9. Gataulin Ya. A., Smirnov E. M., A flow in the blood vessel with a one-side stenosis: numerical study of the structure and local turbulization // St. Petersburg Polytechnical State University Journal. Physics and Mathematics, 2021, vol. 14, no. 1, рр. 72–84.
  10. 10. Mazo A.B., Kalinin E.I., Molochnikov V.M. et al. Simulation of a pulsating flow in a pipe with local constrictions as applied to hemodynamics of blood vessels // Thermophys. Aeromech. 2022. V. 29. P. 249–265. https://doi.org/10.1134/S0869864322020093
  11. 11. Молочников В.М., Душин Н.С., Пашкова Н.Д. и др. Структура течения и переход к локальной турбулентности за асимметричным сужением, имитирующим стеноз артерии // Изв. РАН. МЖГ. 2023. № 2. С. 72–84.
  12. 12. Molochnikov, V.M., Dushin, N.S., Pashkova, N.D. et al. Flow structure and transition to local turbulence downstream of an asymmetric narrowing that imitates arterial stenosis // Fluid Dynamics, 2023, vol. 58, no. 2, pp. 214–226. https://doi.org/10.1134/S0015462822602303
  13. 13. Loth F., Fischer P.F., Bassiouny H.S. Blood flow in end-to-side anastomoses // Annu Rev Fluid Mech. 2008. V. 40. P. 367–393. https://doi.org/10.1146/annurev.fluid.40.111406.102119
  14. 14. Li X., Liu X., Li X. et al. Tortuosity of the superficial femoral artery and its influence on blood flow patterns and risk of atherosclerosis // Biomech Model Mechanobiol. 2019. V. 18. № 2. P. 883–896. https://doi.org/10.1007/s10237-019-01118-4
  15. 15. Ivanova Y., Yukhnev A., Tikhomolova L. et al. Experience of patient-specific CFD simulation of blood flow in proximal anastomosis for femoral popliteal bypass // Fluids. 2022. V. 7. № 10. P. 314. https://doi.org/10.3390/fluids7100314
  16. 16. Loth F., Jones S.A., Zarins C.K. et al. Relative Contribution of Wall Shear Stress and Injury in Experimental Intimal Thickening at PTFE End-to-Side Arterial Anastomoses // J. Biomech. Eng. 2002. V. 124. № 1. P. 44–51. https://doi.org/10.1115/1.1428554
  17. 17. Haruguchi H., Teraoka S.J. Intimal hyperplasia and hemodynamic factors in arterial bypass and arteriovenous grafts: a review // J. Artificial Organs. 2003. V. 6. №. 4. P. 227–235. https://doi.org/10.1007/s10047-003-0232-x
  18. 18. Jackson M., Wood N.B., Zhao S. et al. Low wall shear stress predicts subsequent development of wall hypertrophy in lower limb bypass grafts // Artery Research. 2009. V. 3. № 1. P. 32–38. https://doi.org/10.1016/j.artres.2009.01.001
  19. 19. Гатаулин Я.А., Смирнов Е.М., Молочников В.М. и др. Структура трехмерного течения с локальной турбулентностью в области разветвления канала круглого сечения // Научно-технические ведомости СПбГПУ. Физико-математические науки. 2022. Т. 15. № 4. С. 81–94.
  20. 20. Gataulin Ya.A., Smirnov E.M., Molochnikov V.M. et al. The structure of a 3D flow with local turbulence in the branching juncture of a circular-section channel // St.-P. St. Polytech. Univ. J. Physics and Mathematics, 2022, vol. 15, no. 4, pp. 81–94. https://doi.org/10.18721/JPM.15406
  21. 21. Михеев Н.И., Душин Н.С. Метод измерения динамики векторных полей скорости турбулентного потока по видеосъемке дымовой визуализации // Приборы и техника эксперимента. 2016. № 6. C. 114–122.
  22. 22. Mikheev N. I., Dushin N. S. A method for measuring the dynamics of velocity vector fields in a turbulent flow using smoke image-visualization videos // Instruments and Experimental Techniques, 2016, vol. 59, no. 6, pp. 882–889. https://doi.org/10.1134/S0020441216060063
  23. 23. Molochnikov V.M., Mikheev A.N., Mazo A.B. et al. Structure of the proximal anastomosis flow in stationary mode at moderate Reynolds numbers // Thermophys. Aeromech. 2022. V. 29. P. 905–911. https://doi.org/10.1134/S0869864322060105
  24. 24. Smirnov E.M., Zaitsev D.K., Smirnovsky A.A. et al. Assessment of Several Advanced Numerical Algorithms Implemented in the CFD Code SINF/Flag S for Supercomputer Simulations // Supercomp. Frontiers&Innovations. 2024. V. 11. № 2. P. 14–31. https://doi.org/10.14529/jsfi240202
  25. 25. Smirnov E.M., Smirnovsky A.A., Schur N.A. et al. Comparison of RANS and IDDES solutions for turbulent flow and heat transfer past a backward-facing step // Heat and Mass Transfer. 2018. V. 54. №. 8. P. 2231–2241. https://doi.org/10.1007/s00231-017-2207-0
  26. 26. Смирнов С.И., Смирнов Е.М. Прямое численное моделирование турбулентной конвекции Рэлея — Бенара в слегка наклоненном цилиндрическом контейнере // Науч.-тех. ведомости СПбГПУ. Физ.-мат. науки. 2020. Т. 13. № 1. С. 14–25.
  27. 27. Smirnov S.I., Smirnov E.M. Direct numerical simulation of the turbulent Rayleigh — Bénard convection in a slightly tilted cylindrical container // St.-P. St. Polytech.Univ. J. Phys.&Math., 2020, vol. 13, no. 1. pp. 14–25. (In Russian) https://doi.org/10.18721/JPM.13102
  28. 28. Колесник Е.В., Смирнов Е.М. Двойственность картины обтекания затупленного ребра сверхзвуковым потоком вязкого газа: влияние малого скоса передней кромки // Изв. РАН. Механика жидкости и газа. 2023. № 1. С. 3–11.
  29. 29. Kolesnik E.V., Smirnov E.M. Duality of the stream pattern of supersonic viscous gas flow past a blunt-fin junction: the effect of a low sweep angle // Fluid Dynamics, 2023, vol. 58, no. 1, pp. 1–8. https://doi.org/10.1134/S0015462822601887
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