Thermal radiation from nonisothermal spherical particles

Dombrovsky, Leonid A.

doi:10.1615/thermopedia.000141

Cited by 3 publications

(3 citation statements)

References 56 publications

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“…For this reason, we consider an alternative approach, which is a modification of the well-known two-flux approximation. Taking into account the effect of total internal reflection on both interfaces of the medium layer, we suggest the following approximation 16,17 :…”

Section: Modification Of the Two-flux Approximation For Refracting Mediamentioning

confidence: 99%

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Modified two-flux approximation for identification of radiative properties of absorbing and scattering media from directional-hemispherical measurements

2006

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A modified two-flux approximation is suggested for calculating the hemispherical transmittance and reflectance of a refracting, absorbing, and scattering medium in the case of collimated irradiation of the sample along the normal to the interface. The Fresnel reflection is taken into account in this approach. It is shown that the new approximation is rather accurate for the model transport scattering function. For an arbitrary scattering medium, the error of the modified two-flux approximation is estimated by comparison with the exact numerical calculations for the Henyey-Greenstein scattering function in a wide range of albedos and optical thicknesses. Possible applications of the derived analytical solution to identification problems are discussed.

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Section: Modification Of the Two-flux Approximation For Refracting Mediamentioning

confidence: 99%

“…The boundary-value problem [Eqs. (16) and (17)] can be solved analytically. Note that the particular solutions of inhomogeneous equation 16…”

Section: ͑18͒mentioning

confidence: 99%

Modified two-flux approximation for identification of radiative properties of absorbing and scattering media from directional-hemispherical measurements

2006

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“…In order to achieve different levels of undercooling, the melts were heterogeneously nucleated. Theoretical analysis of similar problems pertaining to solidification of semi-transparent melt particles for various applications have been reported [25][26][27][28] .…”

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Experiments to understand crystallization of levitated high temperature silicate melt droplets under low vacuum conditions

Mishra

Manvar

Choudhury³

et al. 2020

Sci Rep

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We report experiments on crystallization of highly undercooled forsterite melt droplets under atmospheric and sub-atmospheric pressure conditions. Experiments have been conducted under non-contact conditions using the principles of aero-dynamic levitation. Real time dynamics of solidification, along with the transient evolution of surface textures, have been recorded using high speed camera for three cooling rates. These images have been matched with the time-tagged temperature data to understand the effect of pressure conditions and cooling rates on the crystallization dynamics. Compared to normal pressure, relatively higher levels of undercooling could be achieved under sub-atmospheric conditions. Results showed a strong dependence of surface textures on pressure conditions. For any externally employed cooling rate, relatively small length scale morphological textures were observed under sub-atmospheric conditions, in comparison to those achieved under ambient conditions. The observed trends have been explained on the basis of influence of pressure conditions on recalescence phenomenon and the rate at which latent heat of crystallization gets dissipated from the volume of the molten droplet. Sub-atmospheric experiments have also been performed to reproduce one of the classical chondrule textures, namely the rim + dendrite double structure. Possible formation conditions of this double structure have been discussed vis-à-vis those reported in the limited literature. To the best of our knowledge, the reported study is one of the first attempts to reproduce chondrules-like textures from highly undercooled forsterite melt droplets under sub-atmospheric non-contact conditions.

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Effect of O₂ concentration in ambient mixture and multiphase radiation on pollutant formation in ECN spray-A

Mukut

Roy

2020

Combustion Theory and Modelling

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Thermal radiation from nonisothermal spherical particles

Cited by 3 publications

References 56 publications

Modified two-flux approximation for identification of radiative properties of absorbing and scattering media from directional-hemispherical measurements

Modified two-flux approximation for identification of radiative properties of absorbing and scattering media from directional-hemispherical measurements

Experiments to understand crystallization of levitated high temperature silicate melt droplets under low vacuum conditions

Effect of O₂ concentration in ambient mixture and multiphase radiation on pollutant formation in ECN spray-A

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Thermal radiation from nonisothermal spherical particles

Cited by 3 publications

References 56 publications

Modified two-flux approximation for identification of radiative properties of absorbing and scattering media from directional-hemispherical measurements

Modified two-flux approximation for identification of radiative properties of absorbing and scattering media from directional-hemispherical measurements

Experiments to understand crystallization of levitated high temperature silicate melt droplets under low vacuum conditions

Effect of O2 concentration in ambient mixture and multiphase radiation on pollutant formation in ECN spray-A

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Product

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Effect of O₂ concentration in ambient mixture and multiphase radiation on pollutant formation in ECN spray-A