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Research Papers: Evaporation, Boiling, and Condensation

Corrections for the Hydrodynamic Instability-Based Critical Heat Flux Models in Pool Boiling—Effects of Viscosity and Heating Surface Size

[+] Author and Article Information
Huayong Zhao

Wolfson School of Mechanical,
Electrical and Manufacturing Engineering,
Loughborough University,
Leicestershire LE11 3TU, UK
e-mail: H.Zhao2@lboro.ac.uk

Colin P. Garner

Wolfson School of Mechanical,
Electrical and Manufacturing Engineering,
Loughborough University,
Leicestershire LE11 3TU, UK

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 18, 2017; final manuscript received March 26, 2018; published online May 22, 2018. Assoc. Editor: Antonio Barletta.

J. Heat Transfer 140(9), 091502 (May 22, 2018) (11 pages) Paper No: HT-17-1619; doi: 10.1115/1.4039911 History: Received October 18, 2017; Revised March 26, 2018

This paper presents corrections for existing hydrodynamic instability-based critical heat flux (CHF) models in pool boiling by taking into account the effect of the viscosity, geometry and size of the liquid–vapor interface. Based on the existing literature, the Kelvin–Helmholtz (KH) theory, used by the most commonly adopted CHF models, can lead to noticeable errors when predicting the instability conditions. The errors are mainly due to the inaccuracy of the inviscid flow assumptions and the oversimplification of the interface geometry. In addition, the literature suggests the most unstable condition predicted by the viscous correction for viscous potential flow (VCVPF) theory for the cylindrical interfaces best match the observed air column breakup conditions in water. In this paper, the most unstable instability conditions predicted by the VCVPF theory are used to correct the existing CHF models. The comparison between the existing and corrected CHF models suggests that the corrected models always predict a higher CHF value. In addition, the corrected Zuber model predicts similar CHF value to the Lienhard and Dhir model. The comparison with experimental data suggests that the correction to the Zuber model can increase its prediction accuracy in most cases, but not necessary for the Lienhard and Dhir model. When compared to experimental CHF data for boiling cryogens at different pressures, the corrected CHF models are consistently more accurate than the original CHF models.

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References

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Figures

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Fig. 1

The geometry of the undisturbed interface in (a) Kelvin–Helmholtz (KH) instability theory used in typical hydrodynamic CHF models, (b) hydrodynamic CHF models, and (c) KH theory used on this paper to correct for the CHF models

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Fig. 2

Cross-sectional view of the threshold condition for the bubble merging (spatial and temporal averaged behavior) [2]

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Fig. 3

The required relative velocity and instability growth rate at the critical condition and the most unstable condition for saturated water vapor column. R=λD,RT/4, b=λD,RT/2 at 1 bar system pressure, m=0 (axisymmetric perturbation).

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Fig. 4

The effect of heater size on the CHF when boiling methanol at 1 bar pressure. λD,RT=17.4mm. The error bars represent ±10% error, percentage values on the legends are the average errors in predictions, and legends with “-DV” are corrected CHF models.

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Fig. 5

The effect of pressure on the CHF when boiling water. Percentage values on the legends are the average errors in predictions, and legends with “-DV” are corrected CHF models.

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Fig. 6

The effect of pressure on the CHF when boiling methanol. Error bars represent ±10% difference. Percentage values on the legends are the average errors in predictions, and legends with “-DV” are corrected CHF models.

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Fig. 7

The effect of pressure on the CHF when boiling helium. Error bars represent ±5% difference. Percentage values on the legends are the average errors in predictions, and legends with “-DV” are corrected CHF models.

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Fig. 8

The effect of pressure on the CHF when boiling hydrogen. Error bars represent ±10% difference. Percentage values on the legends are the average errors in predictions, and legends with “-DV” are corrected CHF models.

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Fig. 9

The effect of pressure on the CHF when boiling nitrogen. Error bars represent ±5% difference. Percentage values on the legends are the average errors in predictions, and legends with “-DV” are corrected CHF models.

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