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Statistical identification of local heat-transfer parameters

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Journal of engineering physics Aims and scope

Abstract

This article examines an external inverse heat-conduction problem on determining thermal parameters which are variable over time and along a boundary.

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Abbreviations

f:

nonlinear function

A, B:

matrices

X:

vector of state

U:

control vector

mX :

mathematical expectation of the vector X

\(\vec \alpha \) :

vector of the parameters being identified

α :

heat-transfer coefficient

Tm :

ambient temperature

λ :

thermal conductivity

cV :

volumetric specific heat

T:

temperature

σ:

standard deviation

τ :

time

Δτ:

time interval

ΔFo:

dimensionless time interval (increment in the Fourier number)

Literature cited

  1. I. Bard, Nonlinear Evaluation of Parameters [in Russian], Statistika, Moscow (1979).

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  2. N. Sinitsyn, “Method of statistical linearization (survey),” Avtom. Telemekh., No. 5, 36–48 (1974).

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  3. I. E. Kazakov, Statistical Theory of Control Systems in a Space of States [in Russian], Nauka, Moscow (1975).

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  4. Yu. M. Matsevityi, V. A. Malyarenko, and A. V. Multanovskii, “Identification of time-varying heat-transfer coefficients by solving a nonlinear inverse problem of heat conduction,” Inzh.-Fiz. Zh.,35, No. 3, 505–509 (1978).

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  5. Yu. M. Matsevityi and A. V. Multanovskii, “Iterative filter to solve an inverse heat-conduction problem,” Inzh.-Fiz. Zh.,35, No. 5, 916–923 (1978).

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Author information

Authors and Affiliations

  1. Institute of Problems of Machine Construction, Academy of Sciences of the Ukrainian SSR, Kharkov

    Yu. M. Matsevityi & A. V. Multanovskii

Authors
  1. Yu. M. Matsevityi
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  2. A. V. Multanovskii
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 5, pp. 806–809, November, 1983.

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Matsevityi, Y.M., Multanovskii, A.V. Statistical identification of local heat-transfer parameters. Journal of Engineering Physics 45, 1298–1300 (1983). https://doi.org/10.1007/BF01254738

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  • DOI: https://doi.org/10.1007/BF01254738

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