基于格子Boltzmann方法的Oldroyd-B流体二维收敛流
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- 英文论文题名：The Two-dimensional Convergent Flow of the Oldroyd-B Fluid Based on the Lattice Boltzmann Method
- 论文作者：柳文琴 ; 周建刚 ; 易旭荣 ; 严锋 ; 黄植仪
- 英文论文作者：Liu Wenqin ; Zhou Jiangang ; Yi Xurong ; Yan Feng ; Huang Zhiyi ; Deng Feng Commercial Vehicle Technical Center
- 年：2016
- 作者机构：东风商用车技术中心;
- 论文关键词：格子Boltzmann方法 ; 黏弹流体 ; 二维收敛流 ; Oldroyd-B本构方程 ; 材料成型
- 英文论文关键词：lattice Boltzmann method ; viscoelastic fluid ; convergent flow ; Oldroyd-B constitutive equations ; material molding
- 会议召开时间：2016-10-26
- 会议录名称：2016中国汽车工程学会年会论文集
- 英文会议录名称：Proceedings of 2016 SAE-China Congress
- 语种：中文
- 分类号：O35
- 学会代码：QCGC
- 会议名称：2016中国汽车工程学会年会暨展览会
- 会议地点：中国上海
- 主办单位：中国汽车工程学会
- 学会名称：中国汽车工程学会
- 页数：4
- 文件大小：210k
- 原文格式：O
- 会议级别：全国
摘要
本文采用格子Boltzmann方法(LBM)模拟了黏弹流体在3:1收敛流道内的流动,针对复杂的Oldroyd-B黏弹流体,文中引入双分布函数分别对Navier-Stokes方程组和Oldroyd-B本构方程进行求解,最终成功模拟出Oldroyd-B流体的二维收敛流现象,并分析了流体入口最大速度u_(max)、黏度和Wi数对收敛流现象的影响。该方法在黏弹流体领域的成功应用在材料成型方面意义重大,为塑料及复合材料的成型提供了相关指导。
The lattice Boltzmann method(LBM) is used to simulate the convergent flow of the viscoelastic fluid in this paper.To solve the Navier- Stokes equations and Oldroyd- B constitutive equations,the double distribution functions are introduced.Finally we successfully simulate the two-dimensional convergent flow of the Oldroyd-B fluid,and analyze the influence of the inlet maximum speed,viscosity and Wi number on this phenomenon.The successful application of this method in the viscoelastic fluid field is of great significance for the material molding,which provides related guidance to the molding of plastic and composite.
The lattice Boltzmann method(LBM) is used to simulate the convergent flow of the viscoelastic fluid in this paper.To solve the Navier- Stokes equations and Oldroyd- B constitutive equations,the double distribution functions are introduced.Finally we successfully simulate the two-dimensional convergent flow of the Oldroyd-B fluid,and analyze the influence of the inlet maximum speed,viscosity and Wi number on this phenomenon.The successful application of this method in the viscoelastic fluid field is of great significance for the material molding,which provides related guidance to the molding of plastic and composite.
引文
[1]Y H Qian,Y F Deng.A Lattice BGK Model for Viscoelastic Media Phys.Rev.Lett.79(14)(1997)2742-2745.
[2]L Giraud,D d'Humieres,P Lallemand.A lattice Boltzmann model for Jeffreys viscoelastic fluid,Europhys.Lett.42(6)(1998)625-630.
[3]P Lallemand,D d Humieres,L S Luo,et al.Theory of the lattice Boltzmann method:three-dimensional model for linear viscoelastic fluids.Phys.Rev.E 67(2)(2003)021203.
[4]A J Wagner,L Giraud,C E ScotL Simulation of a cusped bubble rising in a viscoelastic fluid with a new numerical method.Computer Physics Communications,129(2000)227-232.
[5]I Ispolatov,M Grant Lattice Boltzmann method for viscoelastic fluids.Phys.Rev.E 65(5)(2002)056704.
[6]Yoshino M,Toriumi Y,Arai M.Lattice Boltzmann simulation of two-phase viscoelastic fluid flows.Journal of Computer Science and Technology,2008,2(2):330-340.
[7]Frank X,Li H Z.Negative wake behind a sphere rising in viscoelastic fluids:a lattice Boltzmann investigation.Physical Review E,2006,74:056307.
[8]J Onishi,Y Chen,H OhashL A Lattice Boltzmann model for polymeric liquids.Prog.Comp.Fluid Dyn.5(2005)75-84.
[9]J Onishi,Y Chen,H Ohashi.Dynamic simulation of multicomponent viscoelastic fluids using the lattice Boltzmann method,Physica A 362(1)(2006)84-92.
[10]Malaspinas O,Fi&ier N,Deville M.Lattice Boltzmann method for the simulation of viscoelastic fluid flows.Journal of Non-Newtonian Fluid Mechanics,2010(165):1637-1653.
[2]L Giraud,D d'Humieres,P Lallemand.A lattice Boltzmann model for Jeffreys viscoelastic fluid,Europhys.Lett.42(6)(1998)625-630.
[3]P Lallemand,D d Humieres,L S Luo,et al.Theory of the lattice Boltzmann method:three-dimensional model for linear viscoelastic fluids.Phys.Rev.E 67(2)(2003)021203.
[4]A J Wagner,L Giraud,C E ScotL Simulation of a cusped bubble rising in a viscoelastic fluid with a new numerical method.Computer Physics Communications,129(2000)227-232.
[5]I Ispolatov,M Grant Lattice Boltzmann method for viscoelastic fluids.Phys.Rev.E 65(5)(2002)056704.
[6]Yoshino M,Toriumi Y,Arai M.Lattice Boltzmann simulation of two-phase viscoelastic fluid flows.Journal of Computer Science and Technology,2008,2(2):330-340.
[7]Frank X,Li H Z.Negative wake behind a sphere rising in viscoelastic fluids:a lattice Boltzmann investigation.Physical Review E,2006,74:056307.
[8]J Onishi,Y Chen,H OhashL A Lattice Boltzmann model for polymeric liquids.Prog.Comp.Fluid Dyn.5(2005)75-84.
[9]J Onishi,Y Chen,H Ohashi.Dynamic simulation of multicomponent viscoelastic fluids using the lattice Boltzmann method,Physica A 362(1)(2006)84-92.
[10]Malaspinas O,Fi&ier N,Deville M.Lattice Boltzmann method for the simulation of viscoelastic fluid flows.Journal of Non-Newtonian Fluid Mechanics,2010(165):1637-1653.