Articles

Assessment of force models on finite-sized particles at finite Reynolds numbers

Expand
  • Applied Mechanics Laboratory(AML), Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

Received date: 2019-12-19

  Revised date: 2020-03-18

  Online published: 2020-06-08

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11490551, 11772172, and 11702158)

Abstract

Finite-sized inertial spherical particles are fully-resolved with the immersed boundary projection method (IBPM) in the turbulent open-channel flow by direct numerical simulation (DNS). The accuracy of the particle surface force models is investigated in comparison with the total force obtained via the fully-resolved method. The results show that the steady-state resistance only performs well in the streamwise direction, while the fluid acceleration force, the added-mass force, and the shear-induced Saffman lift can effectively compensate for the large-amplitude and high-frequency characteristics of the particle surface forces, especially for the wall-normal and spanwise components. The modified steady-state resistance with the correction effects of the acceleration and the fluid shear can better represent the overall forces imposed on the particles, and it is a preferable choice of the surface force model in the Lagrangian point-particle method.

Cite this article

Ruyang LI, Weixi HUANG, Lihao ZHAO, Chunxiao XU . Assessment of force models on finite-sized particles at finite Reynolds numbers[J]. Applied Mathematics and Mechanics, 2020 , 41(6) : 953 -966 . DOI: 10.1007/s10483-020-2621-9

References

[1] LUNDELL, F., SODERBERG, L. D., and ALFREDSSON, P. H. Fluid mechanics of papermaking. Annual Review of Fluid Mechanics, 43, 195-217(2011)
[2] KHAN, A. A., JONG, W. D., JANSENS, P. J., and SPLIETHOFF, H. Biomass combustion in fluidized bed boilers:potential problems and remedies. Fuel Processing Technology, 90(1), 21-50(2009)
[3] CREYSSELS, M., DUPONT, P., EL MOCTAR, A. O., VALANCE, A., CANTAT, I., JENKINS, J. T., PASINI, J. M., and RASMUSSEN, K. R. Saltating particles in a turbulent boundary layer:experiment and theory. Journal of Fluid Mechanics, 625, 47-74(2009)
[4] SEBASTIAN, B. and DITTRICH, P. S. Microfluidics to mimic blood flow in health and disease. Annual Review of Fluid Mechanics, 50, 483-504(2018)
[5] MAXEY, M. R. and RILEY, J. J. Equation of motion for a small rigid sphere in a nonuniform flow. Physics of Fluids, 26, 883-889(1983)
[6] AUTON, T. R., HUNT, J. C. R., and PRUDHOMME, M. The force exerted on a body in inviscid unsteady non-uniform rotational flow. Journal of Fluid Mechanics, 197, 241-257(1988)
[7] SAFFMAN, P. G. The lift on a small sphere in a slow shear flow. Journal of Fluid Mechanics, 22, 385-400(1965)
[8] LOTH, E. and DORGAN, A. J. An equation of motion for particles of finite Reynolds number and size. Environmental Fluid Mechanics, 9(2), 187-206(2009)
[9] SCHILLER, L. and NAUMANN, A. Z. Über die grundlegenden Berechungen bei der Schw-erkraftaufbereitung. Zeitschrift des Vereines deutscher Ingenieure, 77, 318-320(1933)
[10] CHALLABOTLA, N. R., ZHAO, L. H., and ANDERSSON, H. I. Orientation and rotation of inertial disk particles in wall turbulence. Journal of Fluid Mechanics, 766, R2(2015)
[11] ZHAO, L. H., CHALLABOTLA, N. R., ANDERSSON, H. I., and VARIANO, E. A. Rotation of nonspherical particles in turbulent channel flow. Physical Review Letters, 115(24), 244501(2015)
[12] MARCHIOLI, C., FANTONI, M., and SOLDATI, A. Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow. Physics of Fluids, 22, 033301(2010)
[13] WANG, X., ZHENG, X., and WANG, P. Direct numerical simulation of particle-laden plane turbulent wall jet and the influence of Stokes number. International Journal of Multiphase Flow, 92, 82-92(2017)
[14] PAN, M., LI, Q. X., TANG, S., and DONG, Y. H. Investigation of turbulence and skin friction modification in particle-laden channel flow using lattice Boltzmann method. Applied Mathematics and Mechanics (English Edition), 39(4), 477-488(2018) https://doi.org/10.1007/s10483-018-2316-8
[15] BALACHANDAR, S. and EATON, J. K. Turbulent dispersed multiphase flow. Annual Review of Fluid Mechanics, 42, 111-133(2010)
[16] PAN, Y. and BANERJEE, S. Numerical simulation of particle interactions with wall turbulence. Physics of Fluids, 8, 2733-2755(1996)
[17] SHAO, X., WU, T., and YU, Z. Fully resolved numerical simulation of particle-laden turbulent flow in a horizontal channel at a low Reynolds number. Journal of Fluid Mechanics, 693, 319-344(2012)
[18] KIDANEMARIAM, A. G. and UHLMANN, M. Direct numerical simulation of pattern formation in subaqueous sediment. Journal of Fluid Mechanics, 750, R2(2014)
[19] WANG, L. P., PENG, C., GUO, Z., and YU, Z. Flow modulation by finite-size neutrally buoyant particles in a turbulent channel flow. Journal of Fluids Engineering, 138(4), 041306(2016)
[20] PICANO, F., BREUGEM, W. P., and BRANDT, L. Turbulent channel flow of dense suspensions of neutrally buoyant spheres. Journal of Fluid Mechanics, 764, 463-487(2015)
[21] COSTA, P., PICANO, F., BRANDT, L., and BREUGEM, W. P. Effects of the finite particle size in turbulent wall-bounded flows of dense suspensions. Journal of Fluid Mechanics, 843, 450-478(2018)
[22] COSTA, P., BRANDT, L., and PICANO, F. Interface-resolved simulations of small inertial particles in turbulent channel flow. Journal of Fluid Mechanics, 883, A54(2020)
[23] ZHU, C., YU. Z., SHAO, X., and DENG, J. Interface-resolved numerical simulations of particleladen turbulent flows in a vertical channel filled with Bingham fluids. Journal of Fluid Mechanics, 883, A43(2020)
[24] COSTA, P., PICANO, F., BRANDT, L., and BREUGEM, W. P. Universal scaling laws for dense particle suspensions in turbulent wall-bounded flows. Physics Review Letters, 117(13), 134501(2016)
[25] KIDANEMARIAM, A. G. and UHLMAN, M. Formation of sediment patterns in channel flow:minimal unstable systems and their temporal evolution. Journal of Fluid Mechanics, 818, 716-743(2017)
[26] HORNE, W. J. and MAHESH, K. A massively-parallel, unstructured overset method to simulate moving bodies in turbulent flows. Journal Computational Physics, 397, 108790(2019)
[27] ELGHOBASHI, S. and TRUESDELL, G. C. On the two-way interaction between homogeneous turbulence and dispersed solid particles, I, turbulence modification. Physics of Fluids A:Fluid Dynamics, 5(7), 1790-1801(1993)
[28] UHLMANN, M. An immersed boundary method with direct forcing for the simulation of particulate flows. Journal of Computational Physics, 209(2), 448-476(2005)
[29] BREUGEM, W. P. A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows. Journal of Computational Physics, 231(13), 4469-4498(2012)
[30] LI, R. Y., CUI, Z. W., HUANG, W. X., ZHAO, L. H., and XU, C. X. On rotational dynamics of a finite-sized ellipsoidal particle in shear flows. Acta Mechanica, 230(2), 449-467(2019)
[31] PESKIN, C. S. The immersed boundary method. Acta Numerica, 11, 479-517(2002)
[32] KIM, K., BAEK, S. J., and SUNG, H. J. An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 38(2), 125-138(2002)
[33] LI, R. Y., XIE, C. M., HUANG, W. X., and XU, C. X. An efficient immersed boundary projection method for flow over complex/moving boundaries. Computers and Fluids, 140, 122-135(2016)
[34] COSTA, P., BOERSMA, B. J., WESTERWEEL, J., and BREUGEM, W. P. Collision model for fully resolved simulations of flows laden with finite-size particles. Physical Review E, 92(5), 053012(2015)
[35] ZENG, L. Y., BALACHANDAR, S., PAUL, F., and NAJJAR, F. Interactions of a stationary finite-sized particle with wall turbulence. Journal of Fluid Mechanics, 594, 271-305(2008)
Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals