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等腰三角形管道进口段流动阻力研究

祝世兴 王致清

祝世兴, 王致清. 等腰三角形管道进口段流动阻力研究[J]. 应用数学和力学, 1993, 14(9): 793-807.
引用本文: 祝世兴, 王致清. 等腰三角形管道进口段流动阻力研究[J]. 应用数学和力学, 1993, 14(9): 793-807.
Zhu Shi-xing, Wang Zhi-qing. A Study on Flow Resistance in the Entrance Region of Isosceles Triangular Ducts[J]. Applied Mathematics and Mechanics, 1993, 14(9): 793-807.
Citation: Zhu Shi-xing, Wang Zhi-qing. A Study on Flow Resistance in the Entrance Region of Isosceles Triangular Ducts[J]. Applied Mathematics and Mechanics, 1993, 14(9): 793-807.

等腰三角形管道进口段流动阻力研究

A Study on Flow Resistance in the Entrance Region of Isosceles Triangular Ducts

  • 摘要: 本文首先利用Л.В.Канторович变分方法求出了等腰三角形管道不可压缩流体层流完全发展段流动速度的变分解,并且给出了压力损失的理论计算值与实验值.继而,本文推求出适用于各种顶角的等腰三角形管道进口段流动的速度分布模型和附加压力损失系统以及进口段长度计算方法.并对两种顶角(2α=45.1°,60°)的等腰三角形管道进口段流动进行了具体计算和实验.本文的理论分析与其他作者的理论分析比较表明,本文的分析结果具有很高的精度和广泛的实用性,并与作者的实验结果吻合较好.
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    [4] Lundgren,T.S.,E.M.Sparrow and J.B.Sfarr,Pressure drop to the entrance region in ducts of arbitrary cross section,J.Basic Eng.,Trans.ASME,Series D,86(1964),620-626.
    [5] Miller,R.W.and L.S.Han,Pressure losses for laminar flow in the entrance region of ducts of rectangular and equiluteral triangular cross section,J.Appl.Mech.,Trans.ASME,(1971),1083-1087.
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    [7] Richard,C.C.and W.H.Richard,Transitional flow in isosceles triangular ducts,Ind.Chem.Fundm.,11(1972).
    [8] Carlson,L.W.and Jr.T.F.Irrine,Fully developed pressure drop in triangular shaped ducts,J.Heat Transfer,(1961),441-444.
    [9] Mohanty,A.K.and S.B.L.Asthana,Laminar flow in the entrance region of a smooth pipe,J.Fluid Mech.,90(1978),433-446.
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出版历程
  • 收稿日期:  1990-12-21
  • 刊出日期:  1993-09-15

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