Semi-analytical model for the heat conduction resistance of a single spherical condensate droplet

Semi-analytical model for the heat conduction resistance of a single spherical condensate droplet
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单个球形凝结水滴热传导阻力的半解析模型

DOI:
10.1016/j.ijheatmasstransfer.2021.122419
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发表时间:
2022
影响因子:
5.2
通讯作者:
Jiao Long
Jiao Long
中科院分区:
工程技术2区
文献类型:
--
作者:
Dong Jian;Hu Guanghui;Zhao Yiping;Si Chao;Jiao Long

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利用液滴热阻网络模型研究了超疏水表面上单个球形冷凝液滴的演化和传热过程。单个球形冷凝液滴导热热阻(Rd)的计算是液滴热阻网络分析中的一个基本问题。迄今为止,大多数研究者都是用Kim的公式来计算R d.然而,Kim公式的结果与CFD软件(ANSYS Fluent)的结果相比,误差超过85%。本文分析了Kim公式不准确的原因。在考虑二维液滴导热的情况下,利用保角变换得到了冷凝液滴内部的理论温度场函数。在计算液滴传热量的基础上,结合ANSYS Fluent分析,提出了一种新的半解析计算模型。我们验证并发现,我们的新模型的结果相比,从ANSYS Fluent的误差小于13%。这意味着我们新的半解析模型比Kim的公式更精确。计算了Rd在总传热阻力中所占的比例,发现对于大液滴(r> 16 μ m)和大接触角(θ> 120 °)的传热计算,应用该模型可以明显减小计算误差。新的半解析模型的热传导阻力的一个单一的球形冷凝液滴是有前途的意义上,它可能取代金的模型,成为一种新的设计准则,增强传热SHS。
The evolution and heat transfer of a single spherical condensate droplet on a superhydrophobic surface (SHS) can be modeled by the droplet thermal resistance network. The calculation of the heat conduction resistance of a single spherical condensate droplet (R d) is a fundamental problem in analyzing the droplet thermal resistance network. Till now, the majority of researchers have used Kim's formula to calculate R d. However, the results from Kim's formula have errors above 85% compared to those from the CFD software (ANSYS Fluent). In this paper, we analyze the reason for inaccuracy of Kim's formula. Taking two-dimensional droplet heat conduction into consideration, we gain the theoretical temperature field function inside the condensate droplet by utilizing the conformal mapping. Basing on calculation of heat transfer rate through the droplet and ANSYS Fluent analysis, we put forward a new semi-analytical model to calculate R d. We verify and find that the results from our new model have errors less than 13% compared to those from ANSYS Fluent. It means that our new semi-analytical model is more accurate than Kim's formula. We calculate the R d proportion of the overall heat transfer resistance and find that the application of our model can obviously decrease heat transfer calculation errors for big droplets (r> 16 μ m) with large contact angles (θ> 120∘). The new semi-analytical model for the heat conduction resistance of a single spherical condensate droplet is promising in the sense that it might replace Kim's model to become a novel design criterion of enhanced heat transfer SHSs.
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影响因子: 5.2
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