Journal of Mathematical Sciences

, Volume 198, Issue 2, pp 204–216 | Cite as

Axially Symmetric Temperature Field of a Truncated Conic Shell with Variable Heat-Transfer Coefficients

  • B. S. Khapko
  • A. I. Chyzh
  • R. M. Shvets’

A method for reducing the heat-conduction problem for a truncated conic shell to the solution of a system of integral equations with Volterra and Fredholm integral operators of the second kind is proposed for the case of coordinate-dependent heat-transfer coefficients and ambient temperature. The system is solved numerically by the method of quadrature formulas. The numerical analyses of the distributions of mean temperature and temperature moment are performed.


Heat Transfer Relative Coefficient Conic Shell Temperature Moment Round Plate 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • B. S. Khapko
    • 1
  • A. I. Chyzh
    • 1
  • R. M. Shvets’
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian Academy of SciencesLvivUkraine

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