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精确计算Bingham流体圆管层流压降及速度分布规律的新方法

赵珊珊 乌效鸣 刘耀东

赵珊珊, 乌效鸣, 刘耀东. 精确计算Bingham流体圆管层流压降及速度分布规律的新方法[J]. 应用数学和力学, 2015, 36(4): 440-448. doi: 10.3879/j.issn.1000-0887.2015.04.012
引用本文: 赵珊珊, 乌效鸣, 刘耀东. 精确计算Bingham流体圆管层流压降及速度分布规律的新方法[J]. 应用数学和力学, 2015, 36(4): 440-448. doi: 10.3879/j.issn.1000-0887.2015.04.012
ZHAO Shan-shan, WU Xiao-ming, LIU Yao-dong. A New Method for Accurate Calculation of the Bingham Fluid Axial Laminar Flow Pressure Drop and Velocity Distribution in Circular Pipes[J]. Applied Mathematics and Mechanics, 2015, 36(4): 440-448. doi: 10.3879/j.issn.1000-0887.2015.04.012
Citation: ZHAO Shan-shan, WU Xiao-ming, LIU Yao-dong. A New Method for Accurate Calculation of the Bingham Fluid Axial Laminar Flow Pressure Drop and Velocity Distribution in Circular Pipes[J]. Applied Mathematics and Mechanics, 2015, 36(4): 440-448. doi: 10.3879/j.issn.1000-0887.2015.04.012

精确计算Bingham流体圆管层流压降及速度分布规律的新方法

doi: 10.3879/j.issn.1000-0887.2015.04.012
详细信息
    作者简介:

    赵珊珊(1989—),女,山东人,硕士生(通讯作者. E-mail: xiaojinglingzs@126.com).

  • 中图分类号: O373

A New Method for Accurate Calculation of the Bingham Fluid Axial Laminar Flow Pressure Drop and Velocity Distribution in Circular Pipes

  • 摘要: Bingham(宾汉)模型情况下,多采用通用公式进行圆管层流压降的解析计算,即将Bingham模型本构方程代入粘性流体圆管层流流动通用公式进行计算,仅能得到压降的解析解.新方法结合Bingham流体本构方程与运动方程,建立有关力学平衡方程,并运用代数方程的根式解理论对圆管层流流动时的非线性方程进行求解,可直接求得Bingham流体圆管层流压降及速度流核区半径的解析解,进一步可求得圆管层流速度解析解;Bingham流体圆管层流速度的直接影响因素为流量、塑性粘度和屈服值,研究发现速度流核宽度与屈服值成正比,与流量及塑性粘度成反比,且流核的宽度越大,流核区的速度越小.
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出版历程
  • 收稿日期:  2014-10-27
  • 修回日期:  2015-01-28
  • 刊出日期:  2015-04-15

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