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

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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.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv, Ukraine

    B. S. Khapko, A. I. Chyzh & R. M. Shvets’

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  1. B. S. Khapko
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  2. A. I. Chyzh
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  3. R. M. Shvets’
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 4, pp. 161–170, October–December, 2012.

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Khapko, B.S., Chyzh, A.I. & Shvets’, R.M. Axially Symmetric Temperature Field of a Truncated Conic Shell with Variable Heat-Transfer Coefficients. J Math Sci 198, 204–216 (2014). https://doi.org/10.1007/s10958-014-1784-4

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  • DOI: https://doi.org/10.1007/s10958-014-1784-4

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