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Research Papers: Evaporation, Boiling, and Condensation

Stochastic Nature of Wall Nucleation and Its Impact on the Time Average Boundary Condition

[+] Author and Article Information
Raúl Martínez-Cuenca

Departamento de Ingeniería
Mecánica y Construcción,
Universitat Jaume I,
Castelló E12071, Spain
e-mail: rcuenca@uji.es

Caleb S. Brooks

School of Nuclear Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: csbrooks@purdue.edu

J. Enrique Juliá

Departamento de Ingeniería
Mecánica y Construcción,
Universitat Jaume I,
Castelló E12071, Spain
e-mail: enrique.julia@emc.uji.es

Takashi Hibiki

School of Nuclear Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: hibiki@ecn.purdue.edu

Mamoru Ishii

Mem. ASME
School of Nuclear Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: ishii@purdue.edu

1Corresponding author.

2Present address: University of Illinois at Urbana-Champaign, Department of Nuclear, Plasma, and Radiological Engineering, Talbot Laboratory, Room 117, 104 South Wright Street, Urbana, IL 61801, e-mail: csbrooks@illinois.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 22, 2014; final manuscript received October 20, 2014; published online November 25, 2014. Assoc. Editor: Keith Hollingsworth.

J. Heat Transfer 137(2), 021504 (Feb 01, 2015) (7 pages) Paper No: HT-14-1034; doi: 10.1115/1.4028975 History: Received January 22, 2014; Revised October 20, 2014; Online November 25, 2014

A new interpretation of the characteristic area and frequency appearing in the wall nucleation source from the point of view of the stochastic nature of this phenomenon is presented in this paper. This analysis shows important drawbacks in the standard interpretation of these terms, such as a strong bias in the characteristic area and high sensitivity to experimental conditions for the frequency. Finally, methods to improve the measurement of the corresponding mean values as well as estimators for their uncertainties based on the definition of a generalized probability density function (PDF) are provided.

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References

Figures

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Fig. 1

Comparison between proposed modeling (continuous red line), simple modeling (discontinuous green) and experimental behavior (dots)

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Fig. 2

The mean of the squared diameter increases linearly with the square of the mean diameter

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Fig. 3

Fit of the set of normalized diameters D⌣ to a log-normal distribution

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Fig. 4

Log–log representation of the normalized time-delay widths against the normalized time delay

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Fig. 5

Fit of the distribution of experimental normalized time-delays to a log-normal distribution

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