华南理工大学学报(自然科学版) ›› 2019, Vol. 47 ›› Issue (9): 18-23.doi: 10.12141/j.issn.1000-565X.180615

• 能源、动力与电气工程 • 上一篇    下一篇

矩形微通道流动入口段的阻力特性分析

段志鹏 宁晓茹 苏良彬 马浩   

  1. 北京交通大学 机械与电子控制工程学院,北京 100044
  • 收稿日期:2018-12-10 修回日期:2019-05-18 出版日期:2019-09-25 发布日期:2019-08-01
  • 通信作者: 段志鹏(1970-),男,副教授,博士生导师,主要从事流体力学、传热学研究. E-mail:zpduan@bjtu.edu.cn
  • 作者简介:段志鹏(1970-),男,副教授,博士生导师,主要从事流体力学、传热学研究.
  • 基金资助:
    国家重点研发项目 (2017YFB0102101);国家自然科学基金资助项目 (51576013)

Friction Factor Characteristics of Rectangular Microchannels in Hydrodynamic Entrance Region

DUAN Zhipeng NING Xiaoru SU Liangbin MA Hao   

  1. School of Mechanical,Electronic and Control Engineering,Beijing Jiaotong University,Beijing 100044,China 
  • Received:2018-12-10 Revised:2019-05-18 Online:2019-09-25 Published:2019-08-01
  • Contact: 段志鹏(1970-),男,副教授,博士生导师,主要从事流体力学、传热学研究. E-mail:zpduan@bjtu.edu.cn
  • About author:段志鹏(1970-),男,副教授,博士生导师,主要从事流体力学、传热学研究.
  • Supported by:
    Supported by the National Key R&D Program of China (2017YFB0102101) and the National Natural Science Foundation of China (51576013)

摘要: 运用 Fluent 软件对宽高比 ε 为 0. 1 ~1. 0 的矩形微通道层流流动入口段的阻力 特性进行了三维数值模拟. 结果表明:宽高比 ε 和雷诺数 Re 对表观摩擦因子与雷诺数乘 积 fapp Re 有一定的影响. fapp Re 值随着宽高比 ε 的增大而减小,在不同的 Re 数范围内呈现 了不同的影响. 当 Re 数小于 300 时,fapp Re 值随 Re 数的增大而减小;Re 数大于 300 后, fapp Re 值随 Re 数变化很小. 当流动达到充分发展后 fapp Re 值保持不变,且与 Re 数无关. 此 外还研究了 ε 和 Re 数对水力进口长度的影响. 发现当 Re 数小于和等于 20 时,无量纲进 口长度随着 ε 的增大逐渐减小;当 Re 数大于 20,无量纲进口长度随着 ε 的增大呈先增后 减的趋势,且在宽高比为 0. 3 ~0. 4 时达到峰值. 基于得到的结果,提出了新的层流流动进 口长度关系式,该式对微型设备的设计和优化具有一定的指导意义.

关键词: 流动入口段, 阻力特性, 表观摩擦因子与雷诺数乘积, 水力进口长度

Abstract: The friction factor characteristics of rectangular microchannels with aspect ratio ε from 0. 1 to 1. 0 in hy- drodynamic entrance region were investigated by using the Fluent software. The results reveal that the aspect ratio ε and Reynolds number Re have effects on the product (fapp Re) of the apparent friction factor and Reynolds number. The fapp Re of rectangular microchannels decreases as the aspect ratio ε increases,and different effects are presented in the different range of Re. The fapp Re decreases with the increase of Re when Re is less than 300; while the fapp Re varies slightly when Re is more than 300. When the flow is fully developed,the fapp Re remains unchanged and be- comes nearly independent of Reynolds number. The effects of ε and Re on the hydrodynamic entrance length is also studied. It is found that when Re is less than 20,the dimensionless entrance length gradually decreases with the in- crease of the aspect ratio ε. When Re is more than 20,the dimensionless entrance length first increases and then decreases with the increase of the aspect ratio ε,and reaches the peak value as the aspect ratio is between 0. 3 to 0. 4. Based on the obtained results,a new hydrodynamic entrance length correlation for laminar flow was proposed, which may provide guidance for the design and optimization of microchannels.

Key words: hydrodynamic entrance region, friction factor characteristics, the product of apparent friction factor and Reynolds number, the hydrodynamic entrance length

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