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Normal Spectral Emissivity Measurement of Molten Cu–Co Alloy Using an Electromagnetic Levitator Superimposed with a Static Magnetic Field

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Abstract

The normal spectral emissivity of molten Cu–Co alloy with different compositions was measured in the wavelength range of 780 nm to 920 nm and in the temperature range of 1430 K to 1770 K including the undercooled condition by an electromagnetic levitator superimposed with a static magnetic field. The emissivity was determined as the ratio of the radiance from a levitated molten Cu–Co droplet measured by a spectrometer to the radiance from a blackbody calculated by Planck’s law at a given temperature, where a static magnetic field of 2.5 T to 4.5 T was applied to the levitated droplet to suppress the surface oscillation and translational motion of the sample. We found little temperature dependence of the normal spectral emissivity of molten Cu–Co alloy. Concerning the composition dependence, the emissivity decreased markedly above 80 at%Cu and reached that of pure Cu, although its dependence was low between 20 at%Cu and 80 at%Cu. In addition, this composition dependence of the emissivity of molten Cu–Co alloy can be explained well by the Drude free-electron model.

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Abbreviations

e :

Elementary electric charge (C)

k :

Extinction coefficient (–)

m :

Rest mass of an electron (kg)

\(N^{*}\) :

Number of free electrons per unit volume (\(\hbox {m}^{-3}\))

n :

Refractive index (–)

\(\varepsilon \) :

Emissivity (–)

\(\varepsilon _r, \varepsilon _i\) :

Real and imaginary parts of the complex dielectric constant (–)

\(\varepsilon _0\) :

Permittivity of vacuum (\(\hbox {F} {\cdot } \hbox {m}^{-1}\))

\(\rho _{el}\) :

Electrical resistivity (\(\Omega ^{-1} {\cdot } \hbox {m}^{-1}\))

\(\sigma \) :

Uncertainty (–)

\(\tau \) :

Relaxation time of free electrons (s)

\(\omega \) :

Angular frequency of the electric field (\(\hbox {rad} {\cdot } \hbox {s}^{-1}\))

\(\omega _p\) :

Plasma frequency (\(\hbox {rad} {\cdot } \hbox {s}^{-1}\))

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Acknowledgements

This study was supported by JSPS KAKENHI Grant No. 25289273.

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Authors and Affiliations

  1. Department of Chemical Engineering, Tohoku University, 6-6-07 Aramaki, Aoba-ku, Sendai-shi, Miyagi, 980-8579, Japan

    Shoya Ueno, Yuki Nakamura, Masaki Kubo & Takao Tsukada

  2. Department of Mechanical Systems Engineering, Toyama Prefectural University, Imizu-shi, Toyama, 939-0398, Japan

    Ken-Ichi Sugioka

  3. Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai-shi, Miyagi, 980-8577, Japan

    Masahito Uchikoshi & Hiroyuki Fukuyama

Authors
  1. Shoya Ueno
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  2. Yuki Nakamura
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  3. Ken-Ichi Sugioka
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  4. Masaki Kubo
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  5. Takao Tsukada
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  6. Masahito Uchikoshi
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  7. Hiroyuki Fukuyama
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Correspondence to Takao Tsukada.

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Ueno, S., Nakamura, Y., Sugioka, KI. et al. Normal Spectral Emissivity Measurement of Molten Cu–Co Alloy Using an Electromagnetic Levitator Superimposed with a Static Magnetic Field. Int J Thermophys 38, 16 (2017). https://doi.org/10.1007/s10765-016-2136-z

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  • DOI: https://doi.org/10.1007/s10765-016-2136-z

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