Theoretical analysis of the viscosity correction factor for heat transfer in pipe flow
Theoretical analysis of the viscosity correction factor for heat transfer in pipe flow
复制标题
管流传热粘度修正系数的理论分析
DOI：
10.1016/j.ces.2018.04.047
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发表时间：
2018
影响因子：
4.7
通讯作者：
Mondal S
中科院分区：
文献类型：
--
作者：
Mondal S
在大多数传热应用中，粘度变化的知识是重要的。因此，粘度修正系数的研究和提出已经有近世纪的历史。其中最成功的关系是由Sieder-Tate在1936年提出的，并在工程分析和设计中得到了广泛的应用。在这项研究中，我们已经改进了Sieder-Tate关系，热边界层的经典理论分析。粘度修正因子的精确解表明，Sieder-Tate修正因子在冷壁（冷却）情况下高估了传热系数，而在热壁（加热）情况下不适用。我们发现μ∞μ w 0.254（在冷却情况下）和μ∞μ w 0.087（在加热情况下）的关系比Sieder-Tate因子μ∞μ w 0.14（均匀地应用于加热和冷却情况）更好。其中μ∞和μw分别是体粘滞系数和壁粘滞系数。理论分析还表明，上述修正系数仅限于小的lnμwμ∞（冷壁）和lnμ∞μw（热壁）。然而，已经得到了一般的解，Petukhov（1970）提出的关联式与流体冷壁冷却情况下的精确解非常吻合。
In most heat transfer applications, knowledge of the viscosity variation is important. Thus viscosity correction factors have been researched and proposed for almost a century. One of the most successful relations was reported by Sieder-Tate in 1936, which has been widely used in engineering analysis and design. In this study, we have improved on the Sieder-Tate relation, following a classical theoretical analysis of the thermal boundary layer. An exact solution to the viscosity correction factor was obtained which shows that the Sieder-Tate correction factor over-predicts the heat transfer coefficient in the case of cold wall (cooling) and does not hold properly for hot wall (heating). We have found that a relation of μ∞μw0.254 (in case of cooling) and μ∞μw0.087 in the case of heating is better than the Sieder-Tate factor of μ∞μw0.14 (uniformly applied to both the heating and cooling cases). Here μ∞ and μw are the bulk and wall viscosity coefficients respectively. The theoretical analysis also shows that the above correction factors are limited to small values of lnμwμ∞ (for cold wall) and lnμ∞μw (for hot wall). However a general solution has been obtained and the correlation developed by Petukhov (1970) closely matches the exact solution for the case of cold wall cooling of a fluid.
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