Study on drag characteristics of an ellipsoidal particle under wall constraint

LU Xianmin; YANG Jianzhi; GU Hailin; WU Lingbo

doi:10.7638/kqdlxxb-2023.0061

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Study on drag characteristics of an ellipsoidal particle under wall constraint

更新时间：2026-05-28

- Study on drag characteristics of an ellipsoidal particle under wall constraint
- Vol. 42, Issue 3, Pages: 19-29(2024)
- 作者机构：
  
  1. 合肥工业大学土木与水利工程学院,合肥,230009
  2. 中国计量大学计量测试工程学院,杭州,310018
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2023.0061
  CLC： O354
- Published：2024
- 稿件说明：
移动端阅览
鲁贤民, 杨渐志, 顾海林, 等. 壁面约束下椭球颗粒曳力特性研究[J]. 空气动力学学报, 2024, 42(3): 19−29.

LU Xianmin, YANG Jianzhi, GU Hailin, et al. Study on drag characteristics of an ellipsoidal particle under wall constraint[J]. 2024, 42(3): 19-29.
鲁贤民, 杨渐志, 顾海林, 等. 壁面约束下椭球颗粒曳力特性研究[J]. 空气动力学学报, 2024, 42(3): 19−29. DOI： 10.7638/kqdlxxb-2023.0061

LU Xianmin, YANG Jianzhi, GU Hailin, et al. Study on drag characteristics of an ellipsoidal particle under wall constraint[J]. 2024, 42(3): 19-29. DOI： 10.7638/kqdlxxb-2023.0061.

摘要

颗粒两相流系统广泛存在于自然界和工程应用中，实际颗粒往往并非球形且受其附近壁面的影响。基于欧拉-拉格朗日方法的颗粒两相流数值模拟已成为非球形颗粒两相流系统设计的重要工具，然而其准确性受限于非球形颗粒曳力模型。因此，深入研究壁面约束下非球形颗粒曳力特性并发展近壁修正预测模型具有重要意义。本文采用直接数值模拟方法对有限雷诺数（0.5≤

≤10）下，不同颗粒长轴取向与来流之间的夹角以及颗粒-壁面间距的单椭球颗粒曳力特性开展详细数值研究，分析比较不同工况下曳力系数的变化，探明雷诺数、攻角以及壁面间距对椭球颗粒曳力系数的影响规律，并评估现有自由流中椭球颗粒曳力关系式的适用性，最后发展了考虑近壁修正的椭球颗粒曳力预测模型，为优化非球形颗粒两相流数值模拟工具提供重要支撑。

Abstract

Fluid-particle two-phase flows are widely encountered in nature and engineering applications

and particles in these flows are usually non-spherical and constrained by the nearby wall. Numerical simulation based on the Euler-Lagrange method has become an important approach for the design of two-phase flow systems with non-spherical particles

but its accuracy is limited by the non-spherical particle drag model. In this study

the direct numerical simulation (DNS) is performed to investigate the drag characteristics of an ellipsoidal particle at a finite Reynolds number (0.5≤

≤10) for different attack angles between the particle orientation and the incomi

ng flow

as well as different particle-wall gaps. The variation of drag coefficients under different conditions is analyzed and compared

and the influence of the Reynolds number

attack angle and wall gap on the drag coefficient of an ellipsoidal particle is explored. The applicability of existing models for predicting the drag force of an ellipsoidal particle in the freestream is evaluated

and finally a prediction model for the drag force of an ellipsoidal particle with the near-wall correction is developed

which can provide significant improvement for the numerical simulation of non-spherical particle-laden flows.

关键词

Keywords

references

WANG P, ZHENG X J. Advances in numerical simulation of wind-blown sand[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(9): 625767 (in Chinese) .

BAO F B, LIN J Z, WU F L, et al. Research on the pneumatic conveying characteristics of fly ash in the power station[J]. Fluid Machinery, 2005, 33(7) : 15-19, 59 (in Chinese) .

BRIX J, JENSEN P A, JENSEN A D. Modeling char conversion under suspension fired conditions in O 2 /N 2 and O 2 /CO 2 atmospheres [J ] . Fuel, 2011, 90(6): 2224-2239. doi:10.1016/j.fuel.2011.01.021

ZHANG L Z, WANG C, HOU H Y, et al. Impact of the shape on physical and chemical properties of catalyst[J]. Contemporary Chemical Industry, 2014, 43(12): 2506-2508 (in Chinese) .

LI Z H, LI Z H, PENG A P, et al. A numerical method for simulating rarefied two phase flow[J]. Acta Aerodynamica Sinica, 2015, 33(2): 266-271 (in Chinese).

YU Z S, WANG P, LIN J Z, et al. Equilibrium positions of the elasto-inertial particle migration in rectangular channel flow of Oldroyd-B viscoelastic fluids[J]. Journal of Fluid Mechanics, 2019, 868: 316-340. DOI: 10.1017/jfm.2019.188

ZHU C L, YU Z S, SHAO X M. Interface-resolved direct numerical simulations of the interactions between neutrally buoyant spheroidal particles and turbulent channel flows[J]. Physics of Fluids, 2018, 30(11). doi: 10.1063/1.5051592

BALACHANDAR S, EATON J K. Turbulent dispersed multiphase flow[J]. Annual Review of Fluid Mechanics, 2010, 42: 111-133. DOI: 10.1146/annurev.fluid.010908.165243

CUI Z W, WANG Z, JIANG X Y, et al. Numerical study of non-spherical particle-laden flows[J]. Advances in Mechanics, 2022, 52(3): 623-672 (in Chinese).

MCILVEEN-WRIGHT D R, HUANG Y, REZVANI S, et al. A technical and environmental analysis of co-combustion of coal and biomass in fluidised bed technologies[J]. Fuel, 2007, 86(14): 2032-2042. DOI: 10.1016/j.fuel.2007.02.011

MORTENSEN P H, ANDERSSON H I, GILLISSEN J J J, et al. Dynamics of prolate ellipsoidal particles in a turbulent channel flow[J]. Physics of Fluids, 2008, 20(9): 093302. DOI: 10.1063/1.2975209

MARCHIOLI C, FANTONI M, SOLDATI A. Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow[J]. Physics of Fluids, 2010, 22(3). doi: 10.1063/1.3328874

CUI Z W, ZHAO L H. Reviews on alignment of non-spherical particles in wall-bounded turbulence[J]. Acta Aerodynamica Sinica, 2021, 39(3): 99−108.

ZHAO L H, MARCHIOLI C, ANDERSSON H I. Slip velocity of rigid fibers in turbulent channel flow[J]. Physics of Fluids, 2014, 26(6). doi: 10.1063/1.4881942

CAI J, PENG Z B, WU H, et al. Simulation Study on the Effects of Wall on the Fluidizing Features of Slender Particles in Gas-Solid[J]. Proceedings of the CSEE, 2008, 28(23): 71-74 (in Chinese) .

CLIFT R, Grace J R, Weber M E. Bubbles, drops, and particles[M]. New York: Academic Press, 1978.

CLIFT R, GAUVIN W H. Motion of entrained particles in gas streams[J]. The Canadian Journal of Chemical Engineering, 1971, 49(4): 439-448. DOI: 10.1002/cjce.5450490403

BROWN P P, LAWLER D F. Sphere drag and settling velocity revisited[J]. Journal of Environmental Engineering, 2003, 129(3): 222-231. DOI: 10.1061/(asce)0733-9372(2003)129: 3(222)

LI R Y, CHEN F G, GE W, et al. Drag coefficients of flows past a sphere at high Mach numbers and low Reynolds numbers[J]. Acta Aerodynamica Sinica, 2021, 39(3): 201-208(in Chinese).

LU Y, SONG Z H, ZHONG W Q, et al. Study of high speed photography method for measuring drag coefficients of non-spherical disc type particles[J]. Journal of Engineering Thermophysics, 2015, 36(2): 351-355(in Chinese).

WADELL H. The coefficient of resistance as a function of Reynolds number for solids of various shapes[J]. Journal of the Franklin Institute, 1934, 217(4): 459-490. DOI: 10.1016/S0016-0032(34)90508-1

KUNII D, LEVENSPIEL O. Fluidization engineering [M]. 2nd ed. Oxford: Butterworth-Heinemann, 1991.

HÖLZER A, SOMMERFELD M. New simple correlation formula for the drag coefficient of non-spherical particles[J]. Powder Technology, 2008, 184(3): 361-365. DOI: 10.1016/j.powtec.2007.08.021

OUCHENE R, KHALIJ M, TANIÈRE A, et al. Drag, lift and torque coefficients for ellipsoidal particles: from low to moderate particle Reynolds numbers[J]. Computers Fluids, 2015, 113: 53-64. DOI: 10.1016/j.compfluid.2014.12.005

HAPPEL J, BRENNER H. Low Reynolds number hydrodynamics [M]. 1st ed. Hague: Kluwer Academic Publishers, 1983.

ROSENDAHL L. Using a multi-parameter particle shape description to predict the motion of non-spherical particle shapes in swirling flow[J]. Applied Mathematical Modelling, 2000, 24(1): 11-25. DOI: 10.1016/S0307-904X(99)00023-2

SANJEEVI S K P, PADDING J T. On the orientational dependence of drag experienced by spheroids[J]. Journal of Fluid Mechanics, 2017, 820: R1. DOI: 10.1017/jfm.2017.239

ZASTAWNY M, MALLOUPPAS G, ZHAO F, et al. Derivation of drag and lift force and torque coefficients for non-spherical particles in flows[J]. International Journal of Multiphase Flow, 2012, 39: 227-239. DOI: 10.1016/j.ijmultiphaseflow.2011.09.004

OUCHENE R, KHALIJ M, ARCEN B, et al. A new set of correlations of drag, lift and torque coefficients for non-spherical particles and large Reynolds numbers[J]. Powder Technology, 2016, 303: 33-43. doi:10.1016/j.powtec.2016.07.067

SANJEEVI S K P, KUIPERS J A M, PADDING J T. Drag, lift and torque correlations for non-spherical particles from Stokes limit to high Reynolds numbers[J]. International Journal of Multiphase Flow, 2018, 106: 325-337. DOI: 10.1016/j.ijmultiphaseflow.2018.05.011

FILLINGHAM P, VADDI R S, BRUNING A, et al. Drag, lift and torque on a prolate spheroid resting on a smooth surface in a linear shear flow [J]. Powder Technology, 2021, 377: 958-965. doi:10.1016/j.powtec.2020.09.042

GOLDMAN A J, COX R G, BRENNER H. Slow viscous motion of a sphere parallel to a plane wall—II Couette flow[J]. Chemical Engineering Science, 1967, 22(4): 653-660. doi: 10.1016/0009-2509(67)80048-4

ZENG L Y, BALACHANDAR S, FISCHER P. Wall-induced forces on a rigid sphere at finite Reynolds number[J]. Journal of Fluid Mechanics, 2005, 536: 1-25. DOI: 10.1017/s0022112005004738

ZENG L Y, NAJJAR F, BALACHANDAR S, et al. Forces on a finite-sized particle located close to a wall in a linear shear flow[J]. Physics of Fluids, 2009, 21(3): 033302. DOI: 10.1063/1.3082232

EKANAYAKE N I K, BERRY J D, STICKLAND A D, et al. Lift and drag forces acting on a particle moving with zero slip in a linear shear flow near a wall[J]. Journal of Fluid Mechanics, 2020, 904. doi: 10.1017/jfm.2020.662

XUE Z L, WANG X, WU X C, et al. Experimental investigation on the characteristics of spherical particle wake in a horizontal channel flow by high resolution PIV [J]. Proceedings of the CSEE, 2017, 37(3): 810-818 (in Chinese) .

ZARGHAMI A, PADDING J T. Drag, lift and torque acting on a two-dimensional non-spherical particle near a wall[J]. Advanced Powder Technology, 2018, 29(6): 1507-1517. doi:10.1016/j.apt.2018.03.019

YAN S N, TANG T Q, REN A X, et al. Prediction of drag coefficient of non-spherical particles based on artificial neural network model[J]. Journal of Engineering Thermophysics, 2017, 38(10): 2171-2175 (in Chinese).

GANGULI S, LELE S K. Drag of a heated sphere at low Reynolds numbers in the absence of buoyancy[J]. Journal of Fluid Mechanics, 2019, 869: 264-291. DOI: 10.1017/jfm.2019.187

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