Journal of Mathematical Sciences

, Volume 86, Issue 2, pp 2561–2564 | Cite as

The influence of a spherical defect on the temperature field in a half-space under local heating

  • V. S. Kolesov
  • I. Z. Piskozub
Article
  • 12 Downloads

Abstract

We study the nonlinear axisymmetric problem of determining the temperature field near a spherical defect irradiated by a heat flux. The solution is constructed by the Fourier method using the Kirchhoff transform in a bipolar coordinate system. We carry out a numerical analysis of two special cases of boundary conditions.

Keywords

Boundary Condition Fourier Heat Flux Coordinate System Temperature Field 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    N. M. Belyaev and L. L. Ryadno,Methods of the Theory of Heat Conduction [in Russian], Vol. 2, Vysshaya Shkola, Moscow (1982).Google Scholar
  2. 2.
    A. S. Galitsyn, “On the temperature distribution in a half-space with a thermally active cavity,” in:Analytic, Numerical, and Analog Methods in Heat-conduction Problems [in Russian], Naukova Dumka, Kiev (1977), pp. 43–49.Google Scholar
  3. 3.
    N. N. Lebedev, I. P. Skal'skaya, and Ya. S. Uflyand,A Collection of Problems in Mathematical Physics [in Russian], Gostekhteorizdat, Moscow (1955).Google Scholar
  4. 4.
    N. N. Rykalin and A. A. Uglov, “The action of concentrated energy sources on materials. Problems and prospects,”Fiz. Khim. Obrab. Mater., No. 5, 3–18 (1983).Google Scholar
  5. 5.
    A. A. Samarskii and E. S. Nikolaev,Methods of Solving Grid Equations [in Russian], Nauka, Moscow (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • V. S. Kolesov
  • I. Z. Piskozub

There are no affiliations available

Personalised recommendations