介观尺度流体绕流球体的耗散粒子动力学模拟

常建忠; 刘汉涛; 刘谋斌; 苏铁熊

doi:10.7498/aps.61.064704

摘要

采用耗散粒子动力学(dissipative particle dynamics, DPD)方法, 对两平行平板间流体绕流三维球体进行了计算. 球体和平行平板由达到平衡状态的冻结DPD粒子组成, 流体在不同无量纲外力驱动下流动, 球体受力由组成球体的所有冻结DPD粒子求和得到. 流动达到充分发展后, 输出球体在流动方向的受力, 并计算球体的阻力系数, 与文献中的关联式进行了对比. 结果表明, 在Reqslant 100的范围内, DPD方法能较准确地计算出阻力系数, 在较大雷诺数时, 由于流体的压缩性导致计算结果出现差异.

关键词:

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.

Keywords:

作者及机构信息

1.
中北大学机电工程学院, 太原 030051;

2.
中国科学院力学研究所, 北京 100190

通信作者: 刘汉涛, lht@nuc.edu.cn

基金项目: 国家自然科学基金(批准号:50976108) 资助的课题.

Authors and contacts

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

Corresponding author: Liu Han-Tao, lht@nuc.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No.50976108).

参考文献

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

施引文献

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