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Interface-resolved direct numerical simulations of the interactions between spheroidal particles and upward vertical turbulent channel flows

Published online by Cambridge University Press:  18 March 2020

Chenlin Zhu ,
Zhaosheng Yu Open the ORCID record for Zhaosheng Yu [Opens in a new window] ,
Dingyi Pan Open the ORCID record for Dingyi Pan [Opens in a new window]  and
Xueming Shao
Chenlin Zhu
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou310027, PR China China Jiliang University, Hangzhou310018, PR China
Zhaosheng Yu*
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou310027, PR China
Dingyi Pan
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou310027, PR China
Xueming Shao
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou310027, PR China
*
†Email address for correspondence: [email protected]
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Abstract

The interactions between finite-size spheroidal particles and upward turbulent flows in a vertical channel are numerically simulated with a direct-forcing fictitious domain method at two particle settling coefficients $u_{s}$ (the ratio of the particle Stokes free-fall velocity to the bulk velocity) of 0.1 and 0.3, a bulk Reynolds number of 2873, a ratio of the particle equivalent diameter to the channel width of 0.05, a particle volume fraction of 2.36 % and particle aspect ratios of $1/3$, 1 and 2. Our results show that the flow friction is largest for the case of a sphere, and smallest for the oblate case when the particle sedimentation effect is weak ($u_{s}=0.1$), whereas the flow friction is smallest for the case of a sphere, and largest for the oblate case when the particle sedimentation effect is moderately strong ($u_{s}=0.3$). The reason for the lower flow friction of the spherical particles is that the large-scale vortices are more strongly attenuated by the spherical particles than by the non-spherical particles in the case of $u_{s}=0.3$. The settling particles tend to migrate towards the channel centre due to the Saffman effect, and the migration is strongest for the spherical particles. The non-spherical particles tend to align their long axes with the streamwise direction in the near-wall region, and perpendicular to the streamwise direction in the bulk region due to the significant settling effect.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 891 , 25 May 2020 , A6
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

Alajbegović, A., Assad, A., Bonetto, F. & Lahey, R. T. Jr 1994 Phase distribution and turbulence structure for solid/fluid upflow in a pipe. Intl J. Multiphase Flow 20 (3), 453–479.CrossRefGoogle Scholar
Ardekani, M. N. & Brandt, L. 2019 Turbulence modulation in channel flow of finite-size spheroidal particles. J. Fluid Mech. 859, 887–901.CrossRefGoogle Scholar
Ardekani, M. N., Costa, P., Breugem, W.-P., Picano, F. & Brandt, L. 2017 Drag reduction in turbulent channel flow laden with finite-size oblate spheroids. J. Fluid Mech. 816, 43–70.CrossRefGoogle Scholar
Borée, J. & Caraman, N. 2005 Dilute bidispersed tube flow: role of interclass collisions at increased loadings. Phys. Fluids 17 (5), 055108.CrossRefGoogle Scholar
Challabotla, N. R., Zhao, L. & Andersson, H. I. 2015a Orientation and rotation of inertial disk particles in wall turbulence. J. Fluid Mech. 766, R2.CrossRefGoogle Scholar
Challabotla, N. R., Zhao, L. & Andersson, H. I. 2015b Shape effects on dynamics of inertia-free spheroids in wall turbulence. Phys. Fluids 27, 061703.CrossRefGoogle Scholar
Challabotla, N. R., Zhao, L. & Andersson, H. I. 2016a Gravity effects on fiber dynamics in wall turbulence. Flow Turbul. Combust. 97 (4), 1095–1110.CrossRefGoogle Scholar
Challabotla, N. R., Zhao, L. & Andersson, H. I. 2016b On fiber behavior in turbulent vertical channel flow. Chem. Engng Sci. 153, 75–86.CrossRefGoogle Scholar
Chang, E. J. & Maxey, M. R. 1994 Unsteady flow about a sphere at low to moderate Reynolds number. Part 1. Oscillatory motion. J. Fluid Mech. 277, 347–379.CrossRefGoogle Scholar
Cisse, M., Homann, H. & Bec, J. 2013 Slipping motion of large neutrally buoyant particles in turbulence. J. Fluid Mech. 735, R1.CrossRefGoogle Scholar
Costa, P., Picano, F., Brandt, L. & Breugem, W.-P. 2018 Effects of the finite particle size in turbulent wall-bounded flows of dense suspensions. J. Fluid Mech. 843, 450–478.CrossRefGoogle Scholar
Do-Quang, M., Amberg, G., Brethouwer, G. & Johansson, A. V. 2014 Simulation of finite-size fibers in turbulent channel flows. Phys. Rev. E 89 (1), 013006.Google ScholarPubMed
Doroodchi, E., Evans, G. M., Schwarz, M. P., Lane, G. L., Shah, N. & Nguyen, A. 2008 Influence of turbulence intensity on particle drag coefficients. Chem. Engng J. 135 (1–2), 129–134.CrossRefGoogle Scholar
Eshghinejadfard, A., Hosseini, S. A. & Thévenin, D. 2017 Fully-resolved prolate spheroids in turbulent channel flows: a lattice Boltzmann study. AIP Adv. 7 (9), 095007.CrossRefGoogle Scholar
Eshghinejadfard, A., Zhao, L. & Thévenin, D. 2018 Lattice Boltzmann simulation of resolved oblate spheroids in wall turbulence. J. Fluid Mech. 849, 510–540.CrossRefGoogle Scholar
Fessler, J. R., Kulick, J. D. & Eaton, J. K. 1994 Preferential concentration of heavy particles in a turbulent channel flow. Phys. Fluids 6 (11), 3742–3749.CrossRefGoogle Scholar
Fong, K. O., Amili, O. & Coletti, F. 2019 Velocity and spatial distribution of inertial particles in a turbulent channel flow. J. Fluid Mech. 872, 367–406.CrossRefGoogle Scholar
Fornari, W., Formenti, A., Picano, F. & Brandt, L. 2016a The effect of particle density in turbulent channel flow laden with finite size particles in semi-dilute conditions. Phys. Fluids 28 (3), 033301.CrossRefGoogle Scholar
Fornari, W., Kazerooni, H. T., Hussong, J. & Brandt, L. 2018 Suspensions of finite-size neutrally buoyant spheres in turbulent duct flow. J. Fluid Mech. 851, 148–186.CrossRefGoogle Scholar
Fornari, W., Picano, F., Sardina, G. & Brandt, L. 2016b Reduced particle settling speed in turbulence. J. Fluid Mech. 808, 153–167.CrossRefGoogle Scholar
Fukagata, K., Iwamoto, K. & Kasagi, N. 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14 (11), L73–L76.CrossRefGoogle Scholar
Gao, H., Li, H. & Wang, L.-P. 2013 Lattice Boltzmann simulation of turbulent flow laden with finite-size particles. Comput. Maths Applics. 65 (2), 194–210.CrossRefGoogle Scholar
Garcia-Villalba, M., Kidanemariam, A. G. & Uhlmann, M. 2012 DNS of vertical plane channel flow with finite-size particles: Voronoï analysis, acceleration statistics and particle-conditioned averaging. Intl J. Multiphase Flow 46, 54–74.CrossRefGoogle Scholar
Glowinski, R., Pan, T.-W., Hesla, T. I. & Joseph, D. D. 1999 A distributed lagrange multiplier/fictitious domain method for particulate flows. Intl J. Multiphase Flow 25 (5), 755–794.CrossRefGoogle Scholar
Hadinoto, K., Jones, E. N., Yurteri, C. & Curtis, J. S. 2005 Reynolds number dependence of gas-phase turbulence in gas–particle flows. Intl J. Multiphase Flow 31 (4), 416–434.CrossRefGoogle Scholar
Hosokawa, S. & Tomiyama, A. 2004 Turbulence modification in gas–liquid and solid–liquid dispersed two-phase pipe flows. Intl J. Heat Fluid Flow 25 (3), 489–498.CrossRefGoogle Scholar
Huang, H., Yang, X., Krafczyk, M. & Lu, X. 2012 Rotation of spheroidal particles in Couette flows. J. Fluid Mech. 692, 369–394.CrossRefGoogle Scholar
Huang, P. Y., Feng, J. & Joseph, D. D. 1994 The turning couples on an elliptic particle settling in a vertical channel. J. Fluid Mech. 271, 1–16.CrossRefGoogle Scholar
Hunt, J. C. R., Wray, A. A. & Moin, P.1988 Eddies, streams, and convergence zones in turbulent flows. CTR Report CTR-S88, pp. 193–208. Center for Turbulence Research.Google Scholar
Kajishima, T., Takiguchi, S., Hamasaki, H. & Miyake, Y. 2001 Turbulence structure of particle-laden flow in a vertical plane channel due to vortex shedding. JSME Intl J. Ser. B 44 (4), 526–535.CrossRefGoogle Scholar
Kameyama, K., Kanai, H., Kawashima, H. & Ishima, T. 2014 Evaluation of particle motion in solid–liquid two-phase pipe flow with downward/upward flow directions. In Proceedings of the 17th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal. Lisbon Symposia.Google Scholar
Kulick, J. D., Fessler, J. R. & Eaton, J. K. 1994 Particle response and turbulence modification in fully developed channel flow. J. Fluid Mech. 277, 109–134.CrossRefGoogle Scholar
Lee, S. L. & Durst, F. 1982 On the motion of particles in turbulent duct flows. Intl J. Multiphase Flow 8 (2), 125–146.CrossRefGoogle Scholar
Lin, A. & Han, S.-P. 2002 On the distance between two ellipsoids. SIAM J. Optim. 13, 298–308.CrossRefGoogle Scholar
Lin, Z., Yu, Z., Shao, X. & Wang, L.-P. 2017a Effects of finite-size neutrally buoyant particles on the turbulent flows in a square duct. Phys. Fluids 29 (10), 103304.CrossRefGoogle Scholar
Lin, Z.-W., Shao, X.-M., Yu, Z.-S. & Wang, L.-P. 2017b Effects of finite-size heavy particles on the turbulent flows in a square duct. J. Hydrodyn. 29 (2), 272–282.CrossRefGoogle Scholar
Lucci, F., Ferrante, A. & Elghobashi, S. 2010 Modulation of isotropic turbulence by particles of Taylor length-scale size. J. Fluid Mech. 650, 5–55.CrossRefGoogle Scholar
Marchioli, C., Fantoni, M. & Soldati, A. 2010 Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow. Phys. Fluids 22, 033301.CrossRefGoogle Scholar
Marchioli, C., Picciotto, M. & Soldati, A. 2007 Influence of gravity and lift on particle velocity statistics and transfer rates in turbulent vertical channel flow. Intl J. Multiphase Flow 33 (3), 227–251.CrossRefGoogle Scholar
Marchioli, C. & Soldati, A. 2013 Rotation statistics of fibers in wall shear turbulence. Acta Mechanica 224, 2311–2329.CrossRefGoogle Scholar
Marchioli, C., Zhao, L. & Andersson, H. I. 2016 On the relative rotational motion between rigid fibers and fluid in turbulent channel flow. Phys. Fluids 28, 013301.CrossRefGoogle Scholar
Milici, B. 2018 Modification of particle laden near-wall turbulence in a vertical channel bounded by rough walls. Intl J. Multiphase Flow 103, 151–168.CrossRefGoogle Scholar
Mortensen, P. H., Andersson, H. I., Gillissen, J. J. J. & Boersma, B. J. 2008a Dynamics of prolate ellipsoidal particles in a turbulent channel flow. Phys. Fluids 20, 093302.CrossRefGoogle Scholar
Mortensen, P. H., Andersson, H. I., Gillissen, J. J. J. & Boersma, B. J. 2008b On the orientation of ellipsoidal particles in a turbulent shear flow. Intl J. Multiphase Flow 34, 678–683.CrossRefGoogle Scholar
Ni, R., Kramel, S., Ouellette, N. T. & Voth, G. A. 2015 Measurements of the coupling between the tumbling of rods and the velocity gradient tensor in turbulence. J. Fluid Mech. 766, 202–225.CrossRefGoogle Scholar
Ni, R., Ouellette, N. T. & Voth, G. A. 2014 Alignment of vorticity and rods with Lagrangian fluid stretching in turbulence. J. Fluid Mech. 743, R3.CrossRefGoogle Scholar
Nilsen, C., Andersson, H. I. & Zhao, L. 2013 A Voronoï analysis of preferential concentration in a vertical channel flow. Phys. Fluids 25 (11), 115108.CrossRefGoogle Scholar
Peng, C., Ayala, O. M. & Wang, L.-P. 2019 A direct numerical investigation of two-way interactions in a particle-laden turbulent channel flow. J. Fluid Mech. 875, 1096–1144.CrossRefGoogle Scholar
Peng, C. & Wang, L.-P. 2019 Direct numerical simulations of turbulent pipe flow laden with finite-size neutrally buoyant particles at low flow Reynolds number. Acta Mechanica 230 (2), 517–539.CrossRefGoogle Scholar
Picano, F., Breugem, W.-P. & Brandt, L. 2015 Turbulent channel flow of dense suspensions of neutrally buoyant spheres. J. Fluid Mech. 764, 463–487.CrossRefGoogle Scholar
Russel, W. B., Hinch, E. J., Leal, L. G. & Tieffenbruck, G. 1977 Rods falling near a vertical wall. J. Fluid Mech. 83 (2), 273–287.CrossRefGoogle Scholar
Santarelli, C. & Fröhlich, J. 2015 Direct numerical simulations of spherical bubbles in vertical turbulent channel flow. Intl J. Multiphase Flow 75, 174–193.CrossRefGoogle Scholar
Shao, X., Wu, T. & Yu, Z. 2012 Fully resolved numerical simulation of particle-laden turbulent flow in a horizontal channel at a low Reynolds number. J. Fluid Mech. 693, 319–344.CrossRefGoogle Scholar
Shokri, R., Ghaemi, S., Nobes, D. S. & Sanders, R. S. 2017 Investigation of particle-laden turbulent pipe flow at high-Reynolds-number using particle image/tracking velocimetry (PIV/PTV). Intl J. Multiphase Flow 89, 136–149.CrossRefGoogle Scholar
Tsuji, Y., Morikawa, Y. & Shiomi, H. 1984 LDV measurements of an air–solid two-phase flow in a vertical pipe. J. Fluid Mech. 139, 417–434.CrossRefGoogle Scholar
Uhlmann, M. 2008 Interface-resolved direct numerical simulation of vertical particulate channel flow in the turbulent regime. Phys. Fluids 20 (5), 053305.CrossRefGoogle Scholar
Vreman, A. W. 2015 Turbulence attenuation in particle-laden flow in smooth and rough channels. J. Fluid Mech. 773, 103–136.CrossRefGoogle Scholar
Wang, B. 2010a Inter-phase interaction in a turbulent, vertical channel flow laden with heavy particles. Part I: Numerical methods and particle dispersion properties. Intl J. Heat Mass Transfer 53 (11–12), 2506–2521.CrossRefGoogle Scholar
Wang, B. 2010b Inter-phase interaction in a turbulent, vertical channel flow laden with heavy particles. Part II: Two-phase velocity statistical properties. Intl J. Heat Mass Transfer 53 (11–12), 2522–2529.CrossRefGoogle Scholar
Wang, G., Abbas, M. & Climent, É. 2017 Modulation of large-scale structures by neutrally buoyant and inertial finite-size particles in turbulent Couette flow. Phys. Rev. Fluids 2 (8), 084302.CrossRefGoogle Scholar
Wang, G., Fong, K. O., Coletti, F., Capecelatro, J. & Richter, D. H. 2019 Inertial particle velocity and distribution in vertical turbulent channel flow: a numerical and experimental comparison. Intl J. Multiphase Flow 120, 103105.CrossRefGoogle Scholar
Wang, L.-P., Peng, C., Guo, Z. & Yu, Z. 2016 Flow modulation by finite-size neutrally buoyant particles in a turbulent channel flow. J. Fluids Engng 138 (4), 041306.Google Scholar
Wu, T.-H., Shao, X.-M. & Yu, Z.-S. 2011 Fully resolved numerical simulation of turbulent pipe flows laden with large neutrally-buoyant particles. J. Hydrodyn. 23 (1), 21–25.CrossRefGoogle Scholar
Xia, Z., Connington, K. W., Rapaka, S., Yue, P., Feng, J. J. & Chen, S. 2009 Flow patterns in the sedimentation of an elliptical particle. J. Fluid Mech. 625, 249–272.CrossRefGoogle Scholar
Yamamoto, Y., Potthoff, M., Tanaka, T., Kajishima, T. & Tsuji, Y. 2001 Large-eddy simulation of turbulent gas–particle flow in a vertical channel: effect of considering inter-particle collisions. J. Fluid Mech. 442, 303–334.CrossRefGoogle Scholar
Yu, W., Vinkovic, I. & Buffat, M. 2016a Finite-size particles in turbulent channel flow: quadrant analysis and acceleration statistics. J. Turbul. 17 (11), 1048–1071.CrossRefGoogle Scholar
Yu, Z., Lin, Z., Shao, X. & Wang, L.-P. 2016b A parallel fictitious domain method for the interface-resolved simulation of particle-laden flows and its application to the turbulent channel flow. Engng Appl. Comput. Fluid Mech. 10, 160–170.Google Scholar
Yu, Z., Lin, Z., Shao, X. & Wang, L.-P. 2017 Effects of particle-fluid density ratio on the interactions between the turbulent channel flow and finite-size particles. Phys. Rev. E 96 (3), 033102.Google ScholarPubMed
Yu, Z., Phan-Thien, N. & Tanner, R. I. 2004 Dynamic simulation of sphere motion in a vertical tube. J. Fluid Mech. 518, 61–93.CrossRefGoogle Scholar
Yu, Z., Phan-Thien, N. & Tanner, R. I. 2007 Rotation of a spheroid in a Couette flow at moderate Reynolds numbers. Phys. Rev. E 76, 026310.Google Scholar
Yu, Z. & Shao, X. 2007 A direct-forcing fictitious domain method for particulate flows. J. Comput. Phys. 227, 292–314.CrossRefGoogle Scholar
Yuan, W., Andersson, H. I., Zhao, L., Challabotla, N. R. & Deng, J. 2017 Dynamics of disk-like particles in turbulent vertical channel flow. Intl J. Multiphase Flow 96, 86–100.CrossRefGoogle Scholar
Yuan, W., Zhao, L., Challabotla, N. R., Andersson, H. I. & Deng, J. 2018 On wall-normal motions of inertial spheroids in vertical turbulent channel flows. Acta Mechanioca 229 (7), 2947–2965.CrossRefGoogle Scholar
Zhang, H., Ahmadi, G., Fan, F.-G. & McLaughlin, J. B. 2001 Ellipsoidal particles transport and deposition in turbulent channel flows. Intl J. Multiphase Flow 27 (6), 971–1009.CrossRefGoogle Scholar
Zhao, F., George, W. K. & van Wachem, B. G. M. 2015a Four-way coupled simulations of small particles in turbulent channel flow: the effects of particle shape and Stokes number. Phys. Fluids 27, 083301.CrossRefGoogle Scholar
Zhao, L. & Andersson, H. I. 2016 Why spheroids orient preferentially in near-wall turbulence. J. Fluid Mech. 807, 221–234.CrossRefGoogle Scholar
Zhao, L., Challabotla, N. R., Andersson, H. I. & Variano, E. A. 2015b Rotation of nonspherical particles in turbulent channel flow. Phys. Rev. Lett. 115, 244501.CrossRefGoogle Scholar
Zhu, C., Yu, Z. & Shao, X. 2018 Interface-resolved direct numerical simulations of the interactions between neutrally buoyant spheroidal particles and turbulent channel flows. Phys. Fluids 30 (11), 115103.CrossRefGoogle Scholar
Zhu, C., Yu, Z., Shao, X. & Deng, J. 2020 Interface-resolved numerical simulations of particle-laden turbulent flows in a vertical channel filled with Bingham fluids. J. Fluid Mech. 883, A43.CrossRefGoogle Scholar