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Theory of an anisotropic thermoelectric refrigerator in a magnetic field

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Abstract

It is shown that the difference between the specific thermal conductivity coefficients in the absence of an electric current and field has a substantial effect on the maximum temperature drop.

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Abbreviations

\(\hat K_j (H),\hat K_E (H),\) :

specific thermal conductivity coefficients

H:

magnetic field intensity vector

\(\hat P(H)\) :

Peltier tensor

\(\hat \delta (H)\) :

specific electric conductivity tensor

\(\hat \alpha (H)\) :

thermoelectromotive force tensor

ΔT :

maximum temperature drop

T :

temperature

y :

coordinate

K, δ:

anisotropy parameters

Z :

thermoelectricQ-factor

f b(H):

function defining anisotropic media

C 1 :

intergration constant

T 0,T 1 :

temperatures of the cold and hot faces of the ATE. Subscripts:i, k, tensors

j, E:

density and strength of the electric field

References

  1. 1.

    A. G. Samoilovich and V. N. Slipchenko, Fiz. Tekh. Poluprovodn.,15, No. 5, 965–967 (1981).

  2. 2.

    L. I. Bytenskii, T. S. Gudkin, E. K. Iordanishvili, and Ye. E. Fiskind, Fiz. Tekh. Poluprovodn.,12, No. 3, 538–542 (1978).

  3. 3.

    B. I. Mogilevskii and A. F. Chudnovskii, Heat Conduction of Semiconductors [in Russian], Moscow (1972).

  4. 4.

    L. I. Anatychuk, Thermoelements and Thermoelectric Devices [in Russian], Kiev (1979).

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Additional information

Chernovitsy State University, Ukraine. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 66, No. 6, pp. 729–732, June, 1994.

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Buda, I.S., Lutsyak, V.S. Theory of an anisotropic thermoelectric refrigerator in a magnetic field. J Eng Phys Thermophys 66, 651–654 (1994). https://doi.org/10.1007/BF00867967

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Keywords

  • Magnetic Field
  • Thermal Conductivity
  • Statistical Physic
  • Electric Current
  • Substantial Effect