Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Application of integral equations to heat conduction problems in which the heat transfer coefficient varies

  • 34 Accesses

  • 2 Citations

Abstract

The problem of heat conduction with a variable heat transfer coefficient is reduced to the solution of a Volterra integral equation of the second kind with a kernel having a singularity.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    A. N. Gordov, Prikl. Matem. Mekh. No. 2 (1955).

  2. 2.

    M. A. Kaganov and Yu. L. Rozenshtok, Prikl. Tekh. Fiz., No. 3 (1952).

  3. 3.

    Yu. L. Rozenshtok, Inzh.-Fiz. Zh., No. 3 (1963).

  4. 4.

    Yu. V. Vidin, Inzh.-Fiz. Zh.,11, No. 2 (1966).

  5. 5.

    V. N. Kozlov, Inzh.-Fiz. Zh.18, No. 1 (1970).

  6. 6.

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

  7. 7.

    N. V. Kopchenova and I. A. Maron, Computational Mathematics in Examples and Problems [in Russian], Nauka, Moscow (1972).

  8. 8.

    V. I. Krylov and L. T. Shul'gina, Handbook on Numerical Integration [in Russian], Nauka, Moscow (1966).

Download references

Author information

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 28, No. 3, pp. 528–532 (March 1975).

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Fedotkin, I.M., Aizen, A.M. & Goloshchuk, I.A. Application of integral equations to heat conduction problems in which the heat transfer coefficient varies. Journal of Engineering Physics 28, 392–395 (1975). https://doi.org/10.1007/BF00862025

Download citation

Keywords

  • Heat Transfer
  • Statistical Physic
  • Integral Equation
  • Transfer Coefficient
  • Heat Conduction