Thermal effect of surface tension on the inward solidification of spheres

Wu, Tsung-Liang; Liaw, Heh-Tyan; Chen, Y.-Z.

doi:10.1016/s0017-9310(01)00313-1

Cited by 26 publications

(12 citation statements)

References 15 publications

(17 reference statements)

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“…There has been a growing interest in fast measurement of surface tension, density and viscosity because they are critical parameters sensitive to material property changes caused by chemical reaction, solidification, gelation, and deposition of substances [3][4][5][6]. So, fast measurement of surface tension, density and viscosity can offer a powerful tool for monitoring the quality of liquids and processes involving a liquid environment.…”

Section: Introductionmentioning

confidence: 99%

New device for fast measuring surface tension, density and viscosity of liquids

Shi

Gao

et al. 2008

Fluid Phase Equilibria

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Section: Introductionmentioning

confidence: 99%

New device for fast measuring surface tension, density and viscosity of liquids

Shi

Gao

et al. 2008

Fluid Phase Equilibria

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“…More investigations associated with the heat transfer of PCM capsules in thermal energy storage system could be found, that is, Wu et al . , MacPhee et al . , Erek et al .…”

Section: Introductionmentioning

confidence: 99%

“…The results showed that an increase in porosity of PCM capsules led to a higher heat transfer rate. More investigations associated with the heat transfer of PCM capsules in thermal energy storage system could be found, that is, Wu et al [10], MacPhee et al [11,12], Erek et al [13] and Ismail et al [14]. However, these results had discrepancies due to the difference in system designs and lack of further understanding of phase change heat transfer inside the PCM geometries.…”

Section: Introductionmentioning

confidence: 99%

The value of thermal radiation in assessing the charge/discharge rate of high-grade thermal energy storage using encapsulated phase change materials (PCMs)

Ding

2016

Int. J. Energy Res.

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Summary The charge/discharge rate of a spherical phase change material (PCM) capsule was assessed in consideration of phase change phenomenon and the combined effect of thermal radiation and heat convection in the charging/discharging processes. The heat transfer model was developed based on a single PCM capsule. The equivalent heat flux was evaluated by using the thermal resistance method. In consideration of the thermal radiation, the equivalent charge/discharge rate was improved, and the temperature rising of the PCM was actually much faster in the charging/discharging processes. It was indicated that the influence of the thermal radiation became more significant for PCM capsules under a small Re number (constant air velocity) and for high‐grade thermal energy storage. The analytical results showed that the highest heat flux contributed by cold thermal radiation occupied 30% and 62% of that by heat convection for PCM capsules with radius of 10 and 40 mm, respectively. This illustrated the crucial value of thermal radiation on the charge/discharge rate of PCM capsules with a large radius. However, for smaller size PCM capsules, the equivalent heat flux was larger under the same fluid flow velocity, and it decreased more promptly with time, because the heat convection that played the dominant role in charge/discharge processes was sensitively affected by the radius of the PCM capsules. Copyright © 2016 John Wiley & Sons, Ltd.

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“…Ever since Gabriel Lame and Benoit Clapeyron [1] first considered the Stefan problem, a great deal of work has been done by many authors [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…The second type adopts new space coordinates by the Landau transformation [5] which avoids considering the unknown region at the same time. Wu et al [6] uses this transformation and a small-time series expansion technique to get an analytical expression for the phase growth rate of liquid solidification. What should be noticed in the fixed-domain methods is the enthalpy scheme proposed by Eyres [7]; the great advantage of this method is that it avoids explicit reference to the moving boundary.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling of Nanoparticle Melting

Tillman

Hill

2006

2006 International Conference on Nanoscience and Nanotechnology

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Abstract-Many physical properties of materials, especially the melting point, change when the physical size of the material approaches the micro and nano scales. The problem considered in this paper is the inward melting of nanoparticles with a spherical geometry, and which initially are in a solid state with low temperature. For the nanoparticles, whose melting (freezing) point has been reported to decrease with decreasing particle radius, the numerical enthalpy method is used to solve the melting problem for an idealized two phase Stefan problem. The behaviour of the nanoparticle melting process compared with a particle melting process at the macro scale is also discussed. The numerical results show that the interfacial tension increases the melting rate of the nanoparticle.

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Thermal effect of surface tension on the inward solidification of spheres

Cited by 26 publications

References 15 publications

New device for fast measuring surface tension, density and viscosity of liquids

New device for fast measuring surface tension, density and viscosity of liquids

The value of thermal radiation in assessing the charge/discharge rate of high-grade thermal energy storage using encapsulated phase change materials (PCMs)

Mathematical Modelling of Nanoparticle Melting

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