搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

棒状分子聚合物溶液的微宏观数值模拟

苏进 欧阳洁 王晓东

引用本文:
Citation:

棒状分子聚合物溶液的微宏观数值模拟

苏进, 欧阳洁, 王晓东

Micro-macro numerical simulation of rod-like polymeric solutions

Su Jin, Ouyang Jie, Wang Xiao-Dong
PDF
导出引用
  • 利用微宏观耦合方法模拟了棒状分子聚合物溶液在平板Couette流动中的复杂流变行为,其中微宏观模型通过非均匀Doi理论来描述.数值模拟中,应用有限体积方法耦合求解了介观尺度上的Smoluchowski方程和宏观尺度上的流场守恒方程.数值结果不仅得到了若干种典型的流动类型,而且还预测了另外两种新的复合瑕疵结构.数值试验表明:棒状分子聚合物的流变结构主要依赖于De数、分子相对尺度以及溶液浓度常数的取值;并且De数对分子指向矢的翻滚周期、随流取向角等微观特性也均有明显影响.
    In this paper the complex rheological behaviors of rod-like polymer solutions in plane Couette flow are studied using micro-macro simulation. The micro-macro model is described by Doi theory with local inhomogeneous fluid. The finite volume method is used to solve the conservation equation on the macroscopic level and the Smoluchowski equation on the microscopic level in the numerical simulation. The numerical results predict several plane flow modes including some typical plane modes and two new complicated modes. Furthermore, simulation results show that the rheological phase diagrams for solutions of rigid rod molecules are mainly dependent on the Deborah number, the concentration of solutions and molecular scale, and the varying Deborah number have great influence on some micro-properties of tumbling period and orientation angle of flow-aligning.
    • 基金项目: 国家自然科学基金重大项目(批准号:10590353 ), 国家自然科学基金(批准号:10871159), 国家重点基础研究发展计划(973)项目(批准号:2005CB321704 )资助的课题.
    [1]

    [1]Keunings R 2001 Computational Fluid Dynamics Journal. 9(4) 449

    [2]

    [2]Zhang H P, Ouyang J,Ruan C L 2009 Acta Phys. Sin. 58 619(in Chinese) [张红平、 欧阳洁、 阮春蕾 2009 物理学报 58 619]

    [3]

    [3]Zhou R, Forest M G, Wang Q 2005 Multi-scale Model. Simul. 3(4) 853

    [4]

    [4]Forest M G, Zhou R, Wang Q 2005 Multi-scale Model. Simul. 4(4) 1280

    [5]

    [5]Green M J, Brown R, Armstrong R C 2009 J. Non-Newtonian Fluid Mech.157 34

    [6]

    [6]Doi M, Edwards S F 1986 The Theory of Polymer Dynamics (Oxford: Oxford University Press) p289

    [7]

    [7]Yu H J, Zhang P W 2007 J. Non-Newtonian Fluid Mech.141 116

    [8]

    [8]E W N, Zhang P W 2004 Phys. Rev. E 65 051504

    [9]

    [9]Zhou N. 2005 MS dissertation (Peking: Peking University) (in Chinese) [周娜 2005 硕士论文 (北京: 北京大学)]

    [10]

    ]Strang G 1968 SIAM J.Num. Anal.5 506

    [11]

    ]Tao W Q 2004 Numerical Heat Transfer(Xian: Xian Jiaotong University Press) p176 (in Chinese) [陶文铨 2004 数值传热学 (西安: 西安交通大学出版社) 第176页][12]Rey A D, Tsuji T 1998 Phys. Rev. E 57 5610

  • [1]

    [1]Keunings R 2001 Computational Fluid Dynamics Journal. 9(4) 449

    [2]

    [2]Zhang H P, Ouyang J,Ruan C L 2009 Acta Phys. Sin. 58 619(in Chinese) [张红平、 欧阳洁、 阮春蕾 2009 物理学报 58 619]

    [3]

    [3]Zhou R, Forest M G, Wang Q 2005 Multi-scale Model. Simul. 3(4) 853

    [4]

    [4]Forest M G, Zhou R, Wang Q 2005 Multi-scale Model. Simul. 4(4) 1280

    [5]

    [5]Green M J, Brown R, Armstrong R C 2009 J. Non-Newtonian Fluid Mech.157 34

    [6]

    [6]Doi M, Edwards S F 1986 The Theory of Polymer Dynamics (Oxford: Oxford University Press) p289

    [7]

    [7]Yu H J, Zhang P W 2007 J. Non-Newtonian Fluid Mech.141 116

    [8]

    [8]E W N, Zhang P W 2004 Phys. Rev. E 65 051504

    [9]

    [9]Zhou N. 2005 MS dissertation (Peking: Peking University) (in Chinese) [周娜 2005 硕士论文 (北京: 北京大学)]

    [10]

    ]Strang G 1968 SIAM J.Num. Anal.5 506

    [11]

    ]Tao W Q 2004 Numerical Heat Transfer(Xian: Xian Jiaotong University Press) p176 (in Chinese) [陶文铨 2004 数值传热学 (西安: 西安交通大学出版社) 第176页][12]Rey A D, Tsuji T 1998 Phys. Rev. E 57 5610

计量
  • 文章访问数:  6135
  • PDF下载量:  544
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-05-05
  • 修回日期:  2009-09-04
  • 刊出日期:  2010-05-15

/

返回文章
返回