Journal of engineering physics

, Volume 54, Issue 1, pp 104–108 | Cite as

Solution of a two-dimensional heat-conduction problem for a sector

  • V. I. Vlasov
  • T. N. Krivoruchenko


We consider a problem for the Laplace equation in a circular sector wherein heat exchange takes place on the sides of the sector in accordance with Newton's law and a temperature distribution is specified on the circular arc.


Statistical Physic Temperature Distribution Heat Exchange Laplace Equation Circular Sector 
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Literature cited

  1. 1.
    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1972).Google Scholar
  2. 2.
    V. I. Vlasov, Boundary Value Problems in Domains with Curvilinear Boundaries [in Russian], Moscow (1987).Google Scholar
  3. 3.
    V. I. Vlasov and A. P. Prudnikov, Modern Problems of Mathematics [in Russian], Itogi Nauki i Tekhniki, Vol. 20, VINITI, Akad. Nauk SSSR, 3–36 (1982).Google Scholar
  4. 4.
    S. Kaczmarz and H. Steinhaus, Theory of Orthogonal Series, Chelsea Publ.Google Scholar
  5. 5.
    M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variables [in Russian], Moscow (1966).Google Scholar
  6. 6.
    N. K. Bari, Uch. Zap. Mosk. Gos. Univ.,4, No. 148, 69–107 (1951).Google Scholar
  7. 7.
    S. G. Mikhlin, Numerical Realization of Variational Methods [in Russian], Moscow (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • V. I. Vlasov
    • 1
  • T. N. Krivoruchenko
    • 1
  1. 1.Computing CenterAcademy of Sciences of the USSRMoscow

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