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A heat meter of finite thickness

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Abstract

The two-dimensional steady-state problem is solved for a heat meter of finite thickness. Corrections to the heat meter readings are estimated.

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Abbreviations

qo :

unperturbed heat flux

qH :

heat flux recorded by heat meter

α:

heat-transfer coefficient

λ:

thermal conductivity

δ:

thickness of heat meter

R:

radius of heat meter

Jo, J1 :

zero- and first-order Besael functions

T1, T2 :

temperature distributions of semi-infinite wall and heat meter

To :

temperature distribution of wall in the absence of heat meter

Literature cited

  1. O. A. Gerashchenko, Fundamentals of Heat Measurements [in Russian], Naukova Dumka, Kiev (1971).

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  2. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford Univ. Press, New York (1959).

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  3. I. Sneddon, Mixed Boundary Value Problems in Potential Theory, North-Holland, Amsterdam (1966).

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  4. N. S. Koshlyakov, É. B. Gliner, and M. M. Smirnov, Partial Differential Equations of Mathematical Physics [in Russian], Visshaya Shkola, Moscow (1970).

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  5. H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953).

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  6. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow-Leningrad (1962).

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Author information

Authors and Affiliations

  1. Leningrad Technological Institute of the Refrigeration Industry, USSR

    A. I. Mikhailov & S. G. Platonova

Authors
  1. A. I. Mikhailov
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  2. S. G. Platonova
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 37, No. 5, pp. 835–842, November, 1979.

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Mikhailov, A.I., Platonova, S.G. A heat meter of finite thickness. Journal of Engineering Physics 37, 1307–1313 (1979). https://doi.org/10.1007/BF01102226

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  • DOI: https://doi.org/10.1007/BF01102226

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