An Approximate Analytical Solution for the Nusselt Number Expression in Turbulent Pipe Flow with Constant Physical Properties

Deng Xianhe and Deng Songjiu(Research Institute of Chemical Engineering; South China Institute of Technology)

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An Approximate Analytical Solution for the Nusselt Number Expression in Turbulent Pipe Flow with Constant Physical Properties

更新时间：2025-12-16

- An Approximate Analytical Solution for the Nusselt Number Expression in Turbulent Pipe Flow with Constant Physical Properties
- CIESC Journal Issue 4, (1987)
- 作者机构：
  
  华南工学院化工研究所,华南工学院化工研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 December 1987，
  
  Published：25 December 1987
- 稿件说明：
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Deng Xianhe and Deng Songjiu(Research Institute of Chemical Engineering, South China Institute of Technology). An Approximate Analytical Solution for the Nusselt Number Expression in Turbulent Pipe Flow with Constant Physical Properties[J]. CIESC Journal, 1987, (4).
DOI：

Deng Xianhe and Deng Songjiu(Research Institute of Chemical Engineering, South China Institute of Technology). An Approximate Analytical Solution for the Nusselt Number Expression in Turbulent Pipe Flow with Constant Physical Properties[J]. CIESC Journal, 1987, (4). DOI：

摘要

本文从动量

能量及质量连续微分方程式出发

结合有关涡流扩散系数关联式及传热涡流混合长与动量涡流混合长之比的关联式

用积分的方法解出努歇特准数(Nusselt Number)的分析解表达式.本公式与彼德柯夫(Petukhov)用数值解方法得出的努歇特准数关联式比较

最大偏差小于7%.本公式的贡献在于能用一个公式计算各种鲁兰特准数和10~4以上各种雷诺准数条件下的圆管中湍流传热的努歇特准数.

Abstract

The analytical expression of NusseJt Number is obtained by direct integration of the differential equations of momentum

energy and mass in circular tubes

with the application of equations of eddy viscosity e0/v and the ratio of the eddy diffusivities mn = αt/∈α

which were published in recent-years. Petukhovs Nusselt number expressions have been compared with the Nusselt number expression derived. The maximal deviation is found to be less than 7%. This Nusselt number expression can also apply to metal liquids with very low Pr number.

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