Analysis of Near-wall Coherent Structure of Spiral Flow in Circular Pipe Based on Large Eddy Simulation

Document Type : Regular Article


1 The Mechanical scientific and engineering college of Northeast Petroleum University, Daqing, Heilongjiang Province, 163318, China

2 Oil Recovery Plant No. 3 of Daqing Oilfield Company Limited, Daqing 163113, China



Based on the large eddy simulation method, this study performed the three-dimensional transient numerical analysis of the near-wall flow field of the spiral flow in a circular pipe and applied the sub-grid model of the kinetic energy transport. The low-speed bands, streamwise vortices and hairpin vortices of the spiral flow in the near-wall region of the circular pipe are determined using the Q criterion. The ejection and sweeping of coherent structures are identified using the velocity vector of the near-wall region; moreover, the two methods of creating the hairpin vortices are established by the image time series. The results demonstrate that the development directions of the near-wall bands, streamwise vortices and hairpin vortices of the spiral flow in the circular pipe develop along the path of the spiral line. The average spanwise period of the low-speed bands in the near-wall region is approximately 120 wall units, the length is more than 900 wall units and the height is not more than 40 wall units. The separation distance of the streamwise vortices is about 119 wall units. It has a certain angle with the wall (approximately 22°). The average burst period of a hairpin vortices is less than 0.015 s.


Main Subjects

Abe, Y., Nonomura, T., & Fujii, K. (2023) Flow instability and momentum exchange in separation control by a synthetic jet. Physics of Fluids, 35, 065114.
Bagheri, M. H., Esmailpour, K., Hoseinalipour, S. M., & Mujumdar, A. S. (2019). Numerical study and POD snapshot analysis of flow characteristics for pulsating turbulent opposing jets. International Journal of Numerical Methods for Heat & Fluid Flow, 29(6), 2009-2031.
Baltzer, J. R., Adrian, R. J., & Wu, X. (2013). Structural organization of large and very large scales in turbulent pipe flow simulation. Journal of Fluid Mechanics, 720, 236-279.
Bedrouni, M., Khelil, A., Mohamed, B., & Naji, H. (2020). Large eddy simulation of a turbulent flow over circular and mixed staggered tubes' cluster. Journal of Applied Fluid Mechanics, 13(5), 1471-1486.
Chen, C., & He, L. (2022). On locally embedded two-scale solution for wall-bounded turbulent flows. Journal of Fluid Mechanics, (933), 933.
Chen, C., & He, L. (2023). Two-scale solution for tripped turbulent boundary layer. Journal of Fluid Mechanics, (955), 955.
Chen, L., Tang, D. B., Liu, X, B., Oliveira, M., & Liu, C. Q. (2009). Evolution of annular vortices and peak structures during boundary layer transition. Chinese Science (G: Physics Mechanics Astronomy), 39(10), 1520-1526. (in Chinese)
Dai, Y., Huang, W. X., & Xu, C. (2019). Coherent structures in streamwise rotating channel flow. Physics of Fluids, 31(2), 021204.
Delgadillo, J. A., & Rajamani, R. K. (2005). A comparative study of three turbulence-closure models for the hydrocyclone problem. International Journal of Mineral Processing, 77(4), 217-230.
Delgadillo, J. A., & Rajamani, R. K. (2007). Large-eddy simulation (LES) of large hydrocyclones. Particulate Science and Technology, 25(3), 227-245.
Eriqitai Zou, Z. P., & Wang, Q. (2004). LES of coherent structure in turbulence boundary layer. Journal of Engineering Thermophysics. (in Chinese)
Fard, M. G., Vernet, A., Stiriba, Y., & Grau, X. (2020). Transient large-scale two-phase flow structures in a 3D bubble column reactor. International Journal of Multiphase Flow, 127, 103236.
Fukagata, K., Iwamoto, K., & Kasagi, N. (2002). Contribution of reynolds stress distribution to the skin friction in wall-bounded flows. Physics of Fluids, 14(11), L73-L76.
Ge, M., Xu, C., Huang, W., & Cui, G. (2012). Drag reduction control based on active wall deformation. Chinese Journal of Theoretical & Applied Mechanics, 44(4), 653-663.
Jiménez, J., Hoyas, S., Simens, M. P., & Mizuno, Y. (2010). Turbulent boundary layers and channels at moderate reynolds numbers. Journal of Fluid Mechanics, 657, 335-360.
Kim, J. W. (2013). Quasi-disjoint pentadiagonal matrix systems for the parallelization of compact finite-difference schemes and filters. Journal of Computational Physics, 241, 168-194. https://doi:10.1016/
Kuraishi, T., Takizawa, K., & Tezduyar, T. E. (2022). Boundary layer mesh resolution in flow computation with the space–time variational multiscale method and isogeometric discretization. Mathematical Models and Methods in Applied Sciences. https://doi:10.1142/S0218202522500567.
Lim, E. W. C., Chen, Y. R., Wang, C. H., & Wu, R. M. (2010). Experimental and computational studies of multiphase hydrodynamics in a hydrocyclone separator system. Chemical Engineering Science, 65(24), 6415-6424.
Liu, Y., & Zhou, L. (2022a). Hydrodynamic modeling of non-swirling and swirling gas-particle two-phase turbulent flow using large eddy simulation. Process Safety and Environmental Protection, 161, 175-187.
Liu, Y., & Zhou, L. (2022b). Numerical analysis on particle dispersions of swirling gas-particle flow using a four-way coupled large eddy simulation. International Communications in Heat and Mass Transfer, 133, 105974.
Meng, L., Gao, S., Wei, D., Cui, B., Shen, Y., Song, Z., & Yuan, J. (2020). Effects of cross-sectional geometry on flow characteristics in spiral separators. Separation Science and Technology, 56(17) 2967-2977.
Misiulia, D., Lidén G., & Antonyuk, S. (2021). Evolution of turbulent swirling flow in a small-scale cyclone with increasing flow rate: a les study. Applied Scientific Research, 107(3), 575-608.
Pan, C., Wang, J. J., & Zhang, C. (2009). Identification of Lagrangian coherent structures in the turbulent boundary layer. Science in China Series G-Physics, Mechanics & Astronomy 39(04), 627-636. (in Chinese)
Qin, W. J., Xie, M. Z., & Jia, M. (2012). Investigation on engine in-cylinder turbulent flow and coherent structure based on large eddy simulation. Transactions of Csice, 30(2), 133-140.
Ram, P., & Kumar, V. (2014). Swirling flow of field dependent viscous ferrofluid over a porous rotating disk with heat transfer. International Journal of Applied Mechanics, 06(04), 1450033.
Robinson, S. K. (1991) Coherent motions in turbulent boundary layer. Annual Review of Fluid Mechanics, 72, 336-339.
Saidi, M., Maddahian, R., Farhanieh, B., & Afshin, H. (2012). Modeling of flow field and separation efficiency of a deoiling hydrocyclone using large eddy simulation. International Journal of Mineral Processing, 112-113(10), 84-93.
Shi, W. L. (2012). Investigation of large eddy simulation and coherent structure for the flow field of turbine vane. Nanjing: Nanjing university of aeronautics and astronautics. (in Chinese)
Tyagi, M., & Acharya, S. (2003). Large eddy simulation of film cooling flow from an inclined cylindrical jet. Journal of Turbomachinery, 125(4), 734-742.
Wang, P., Wei, X., Shrotriya, P., Li, W., & Ferrante, A. (2022). Investigation of isothermal flow inside a new combustor with two-stage axial swirler. Journal of Applied Fluid Mechanics, 15(2), 325-336.
Wu, X. (2010). Establishing the generality of three phenomena using a boundary layer with free-stream passing wakes. Journal of Fluid Mechanics, 664, 193-219.
Xu, C. X. (2015). Coherent structures and drag-reduction mechanism in wall turbulence. Advances in Mechanics, 45(1), 111-140. https://doi:10.6052/1000-0992-15-006
Xu, Y., Zhang, Y. Y., Nicolleau, F. C. G. A., & Wang, Z. C. (2018). Piv of swirling flow in a conical pipe with vibrating wall. International Journal of Applied Mechanics, 10(2), 1850022.
Yuan, M., Zhang, W., Liu, G., Zhang, X., Yousif, M. Z., Song, J., & Lim, H. (2022). Performance study of spiral finned tubes on heat transfer and wake flow structure. International Journal of Heat and Mass Transfer, 196, 123278.
Zeng, R. Q., & Yang, Y. (2011). Numerical simulation of the flow field in oil-water hydrocycolone. China Petroleum Machinery. (01), 24-27.
Zhong, W., Yang, J., Zhang, X., Liu Q., & Liu M. (2019). Large eddy simulation of coherent structures of circular-wound flows near wakes. Journal of Engineering Thermophysics, 36(2), 308-312. (in Chinese)