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Dissipative particle dynamics simulation of flow around a mesoscopic sphere with different Reynolds numbers

Chang Jian-Zhong Liu Han-Tao Liu Mou-Bin Su Tie-Xiong

Dissipative particle dynamics simulation of flow around a mesoscopic sphere with different Reynolds numbers

Chang Jian-Zhong, Liu Han-Tao, Liu Mou-Bin, Su Tie-Xiong
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  • Dissipative particle dynamics (DPD) is used to investigate the flow passing through a three-dimensional sphere within two parallel plates. The sphere and the plates are composed of frozen DPD particles which are in an equilibrium state. The fluid is driven by a dimensionless external force exerting on each fluid particle. The force on the sphere is computed from the total particles consistituting the sphere. After the flow is fully developed, the obtained results, including the force exerted on the sphere is computed, and then we can calculate the drag coefficient. The accuracy and the reliability are compared with classical results. The results show that the DPD method can predict drag coefficient accurately when Re is less than 100. However, when Re is bigger than 100, the results deviate from analytical values, which is due mainly to the fluid compressibility.
      Corresponding author: Liu Han-Tao, lht@nuc.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No.50976108).
    [1]

    Zheng G B,Jin N D 2009 Acta Phys.Sin.58 4485 (in Chinese)[郑桂波,金宁德 2009 物理学报 58 4485]

    [2]

    Hao P F,Yao C H,He F 2007 Acta Phys.Sin.56 4728 (in Chinese)[郝鹏飞,姚朝晖,何枫 2007 物理学报 56 4728]

    [3]

    Liu M B,Meakin P,Huang H 2007 J.Comput.Phys.222 110

    [4]

    Cheng N S 2009 Powder Technology 189 395

    [5]

    Gabitto J,Tsouris C 2008 Powder Technology 183 314

    [6]

    Feng J,Joseph D D 1995 J.Fluid Mech.303 83

    [7]

    Liu H T,Tong Z H,An K,Ma L Q 2009 Acta Phys.Sin.58 6369(in Chinese) [刘汉涛,仝志辉,安康,马理强 2009 \物理学报 586369]

    [8]

    Liu H T,Chang J Z,An K,Su T X 2010 Acta Phys.Sin.59 1877(in Chinese) [刘汉涛,常建忠,安康,苏铁熊 2010 \物理学报 591877]

    [9]

    Lim C Y 2002 Phys.Fluids A 14 2299

    [10]

    Monaghan J J 1992 Ann.Rev.Astron.Astrophys 30 543

    [11]

    Liu M B,Liu G R 2010 Arxiv.Comput.Methods Engrs.17 25

    [12]

    Chang J Z,Liu M B,Liu H T 2008 Acta Phys.Sin.57 3954 (in Chinese) [常建忠,刘谋斌,刘汉涛 2008 物理学报 57 3954]

    [13]

    Espanol P 1995 Phys.Rev.E:Stat.Phys.Plasmas Fluid 52 1734

    [14]

    Hoogerbrugge P J,Koelman J 1992 Europhys.Lett.19 155

    [15]

    Koelman J,Hoogerbrugge P J 1993 Europhys.Lett.21 363

    [16]

    Revenga M,Zuniga I,Espanol P 1999 Compt.Phys.Comm.121 309

    [17]

    Marsh C A,Backx G,Ernst M H 1997 Phys.Rev.56 1676

    [18]

    Sangani A S,Acrivos A 1982 International Journal of Multiphase Flow 8 193

    [19]

    Boek E S,Coveney P V,Lekkerkerker H N W 1996 Journal of Physics- Condensed Matter 8 9509

    [20]

    Boek E S,Schoot P 1998 Int.J.Mod.Phys.C 9 1307

    [21]

    Chen S,Phan-Thien N,Khoo B C,Fan X J 2006 Phys.Fluids 18 103605

    [22]

    Kim J M,Phillips R J 2004 Chem.Eng.Sci.59 4155

    [23]

    Liu M B,Chang J Z 2010 Acta Phys.Sin.59 7556 (in Chinese)[刘谋斌,常建忠 2010 物理学报 59 7556]

    [24]

    Groot R D,Warren P B 1997 J.Chem.Phys.107 4423

    [25]

    Batchelor G K 1967 An Introduction to Fluid Dynamics (Cambridge:Cambridge University Press) p120

    [26]

    Brown P P,Lawler D F 2003 J.Environ.Eng.129 222

  • [1]

    Zheng G B,Jin N D 2009 Acta Phys.Sin.58 4485 (in Chinese)[郑桂波,金宁德 2009 物理学报 58 4485]

    [2]

    Hao P F,Yao C H,He F 2007 Acta Phys.Sin.56 4728 (in Chinese)[郝鹏飞,姚朝晖,何枫 2007 物理学报 56 4728]

    [3]

    Liu M B,Meakin P,Huang H 2007 J.Comput.Phys.222 110

    [4]

    Cheng N S 2009 Powder Technology 189 395

    [5]

    Gabitto J,Tsouris C 2008 Powder Technology 183 314

    [6]

    Feng J,Joseph D D 1995 J.Fluid Mech.303 83

    [7]

    Liu H T,Tong Z H,An K,Ma L Q 2009 Acta Phys.Sin.58 6369(in Chinese) [刘汉涛,仝志辉,安康,马理强 2009 \物理学报 586369]

    [8]

    Liu H T,Chang J Z,An K,Su T X 2010 Acta Phys.Sin.59 1877(in Chinese) [刘汉涛,常建忠,安康,苏铁熊 2010 \物理学报 591877]

    [9]

    Lim C Y 2002 Phys.Fluids A 14 2299

    [10]

    Monaghan J J 1992 Ann.Rev.Astron.Astrophys 30 543

    [11]

    Liu M B,Liu G R 2010 Arxiv.Comput.Methods Engrs.17 25

    [12]

    Chang J Z,Liu M B,Liu H T 2008 Acta Phys.Sin.57 3954 (in Chinese) [常建忠,刘谋斌,刘汉涛 2008 物理学报 57 3954]

    [13]

    Espanol P 1995 Phys.Rev.E:Stat.Phys.Plasmas Fluid 52 1734

    [14]

    Hoogerbrugge P J,Koelman J 1992 Europhys.Lett.19 155

    [15]

    Koelman J,Hoogerbrugge P J 1993 Europhys.Lett.21 363

    [16]

    Revenga M,Zuniga I,Espanol P 1999 Compt.Phys.Comm.121 309

    [17]

    Marsh C A,Backx G,Ernst M H 1997 Phys.Rev.56 1676

    [18]

    Sangani A S,Acrivos A 1982 International Journal of Multiphase Flow 8 193

    [19]

    Boek E S,Coveney P V,Lekkerkerker H N W 1996 Journal of Physics- Condensed Matter 8 9509

    [20]

    Boek E S,Schoot P 1998 Int.J.Mod.Phys.C 9 1307

    [21]

    Chen S,Phan-Thien N,Khoo B C,Fan X J 2006 Phys.Fluids 18 103605

    [22]

    Kim J M,Phillips R J 2004 Chem.Eng.Sci.59 4155

    [23]

    Liu M B,Chang J Z 2010 Acta Phys.Sin.59 7556 (in Chinese)[刘谋斌,常建忠 2010 物理学报 59 7556]

    [24]

    Groot R D,Warren P B 1997 J.Chem.Phys.107 4423

    [25]

    Batchelor G K 1967 An Introduction to Fluid Dynamics (Cambridge:Cambridge University Press) p120

    [26]

    Brown P P,Lawler D F 2003 J.Environ.Eng.129 222

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    [7] Xu Shao-Feng, Lou Ying-Hou, Wu Yao-Feng, Wang Xiang-Yang, He Ping. Fluid slip over hydrophobic surfaces in microchannels: a dissipative particle dynamics study. Acta Physica Sinica, 2019, 68(10): 104701. doi: 10.7498/aps.68.20182002
    [8] Lin Chen-Sen, Chen Shuo, Xiao Lan-Lan. New dissipative particle dynamics boundary condition for complex geometry. Acta Physica Sinica, 2019, 68(14): 140204. doi: 10.7498/aps.68.20190533
    [9] Qiu Shen-Yu, Cai Shao-Hong. Quantum effect of dissipative mesoscopic capacitance coupled circuit. Acta Physica Sinica, 2006, 55(2): 816-819. doi: 10.7498/aps.55.816
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  • Received Date:  10 June 2011
  • Accepted Date:  12 July 2011
  • Published Online:  20 March 2012

Dissipative particle dynamics simulation of flow around a mesoscopic sphere with different Reynolds numbers

    Corresponding author: Liu Han-Tao, lht@nuc.edu.cn
  • 1. School of Mechatronice Engineering of North University of China, Taiyuan 030051, China;
  • 2. Key Laboratory for Hydrodynamics and Ocean Engineering, of Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No.50976108).

Abstract: Dissipative particle dynamics (DPD) is used to investigate the flow passing through a three-dimensional sphere within two parallel plates. The sphere and the plates are composed of frozen DPD particles which are in an equilibrium state. The fluid is driven by a dimensionless external force exerting on each fluid particle. The force on the sphere is computed from the total particles consistituting the sphere. After the flow is fully developed, the obtained results, including the force exerted on the sphere is computed, and then we can calculate the drag coefficient. The accuracy and the reliability are compared with classical results. The results show that the DPD method can predict drag coefficient accurately when Re is less than 100. However, when Re is bigger than 100, the results deviate from analytical values, which is due mainly to the fluid compressibility.

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