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One mathematical model for internal thermal transport with movement of the heat source along a boundary

  • Mathematics Processing Of Physics Experimental Data
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Russian Physics Journal Aims and scope

Abstract

The paper considers solution of two-dimensional equations of thermal transport with constant-velocity motion of the heat source along one surface of a plate. The problem is solved by using finite integral Fourier transforms with subsequent improvement in the convergence of the corresponding Fourier series. Recommendations are made for the use of the solution obtained in engineering practice.

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References

  1. V. N. Volchenko, V. M. Yampol'skii, et al., The Theory of Welding Processes [in Russian], Vysshaya Shkola, Moscow (1988).

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  2. A. V. Lykov, The Theory of Thermal Conductivity [in Russian], Vysshaya Shkola, Moscow (1967).

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  3. É. M. Kartashov, Analytic Methods in the Theory of Thermal Conductivity for Solid Bodies [in Russian], Vysshaya Shkola, Moscow (1985).

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Authors and Affiliations

  1. Vologod Polytechnic Institute, USSR

    A. A. Avaev, O. I. Mikryukova & N. V. Stepanova

Authors
  1. A. A. Avaev
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  2. O. I. Mikryukova
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  3. N. V. Stepanova
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 38–40, April, 1996.

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Avaev, A.A., Mikryukova, O.I. & Stepanova, N.V. One mathematical model for internal thermal transport with movement of the heat source along a boundary. Russ Phys J 39, 323–325 (1996). https://doi.org/10.1007/BF02068053

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  • DOI: https://doi.org/10.1007/BF02068053

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