Research Papers: Micro/Nanoscale Heat Transfer

Sizing of Molybdenum Nanoparticles Using Time-Resolved Laser-Induced Incandescence

[+] Author and Article Information
K. J. Daun

e-mail: kjdaun@uwaterloo.ca
Department of Mechanical Engineering
and Mechatronics,
University of Waterloo,
Waterloo, ON, N2L 3G1, Canada

Y. Murakami

Hachinohe National College of Technology,
Hachinohe, Aomori Prefecture, 039-1192,

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received March 11, 2012; final manuscript received November 25, 2012; published online April 9, 2013. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 135(5), 052401 (Apr 09, 2013) (8 pages) Paper No: HT-12-1090; doi: 10.1115/1.4023227 History: Received March 11, 2012; Revised November 25, 2012

Aerosolized metal nanoparticles have numerous existing and emerging applications in materials science, but their functionality in these roles is strongly size-dependent. Very recently, time-resolved laser-induced incandescence (TiRe-LII) has been investigated as a candidate for sizing aerosolized metal nanoparticles, which requires an accurate model of the heat transfer through which the laser-energized particles re-equilibrate with the bath gas. This paper presents such a model for molybdenum nanoparticles, which is then used to analyze experimental TiRe-LII data made on aerosols of molybdenum nanoparticles in helium, argon, nitrogen, and carbon dioxide. While it is possible to estimate the particle size distribution width, recovering particles sizes requires independent knowledge of the thermal accommodation coefficient, which is presently unknown.

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Grahic Jump Location
Fig. 1

Experimental apparatus used in Ref. [13]

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Fig. 2

Schematic of molybdenum nanoparticle formation through photolysis, and subsequent LII excitation

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Fig. 3

Indices of refraction and the absorption function for molybdenum at 2200 K [18] and 300 K [19]

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Fig. 4

Calculation of Teff(t) by robust regression of the spectroscopic incandescence data, Eq. (4) [13]

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Fig. 5

Conduction, evaporation, and radiation heat transfer from a 30 nm molybdenum nanoparticle in argon

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Fig. 6

Cooling curves for various particle sizes

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Fig. 7

Contour plot of Eq. (16) minimizing F(α,dp,g,Ti), which shows no distinct minimum (contours are log-scale)

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Fig. 8

Contour plot for minimization of F(dp,g,/α,σg,Ti), which has a distinct minimum (contours are log-scale)

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Fig. 9

Experimentally determined effective temperatures and the best-fit modeled cooling rates found using the parameters in Table 1

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Fig. 10

Results of regression following wild bootstrapping analysis overlaid on contour plot minimizing F(dp,g,/α,σg,Ti) (contours are log scale)

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Fig. 11

Histogram showing the result of 250 bootstrap samples for argon yielding an average and an error bound

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Fig. 12

Sensitivity of dp,g/α to selected input properties

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Fig. 13

Plot of ln[Teff(t) – Tg] versus cooling time for molybdenum nanoparticles in argon, highlighting the influence of particle size dispersity on the data



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