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Universal Algorithm of Computation of the Factor of Conjugation

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Theory of Periodic Conjugate Heat Transfer

Part of the book series: Mathematical Engineering ((MATHENGIN,volume 5))

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Abstract

The system of equations (3.7)–(3.9) presented in allows in principle determining both all the eigenvalues A n , A n ∗ and the factor of conjugation (FC), which is the key value of the analysis. However, at the same time, the solutions obtained on this basis are very cumbersome (infinite complex conjugate chain fractions, infinite functional series). An advantage of these solutions (as well as of any analytical solution in general) consists in an opportunity of carrying out an asymptotic analysis and approximate estimations of tendencies, which can be exhibited by the dependence of the FC on the dimensionless parameters. However, a calculation of the FC for some particular values of the parameters requires carrying out numerical calculations. Such calculations have been performed in Chap. 3 for three characteristic laws of oscillations of the THTC: harmonic, inverse harmonic, and stepwise. The tables and nomograms computed on this basis provide an opportunity for engineers and physicists to operate with concrete numerical values and also show a quantitative measure of influence of a solid body on the heat transfer characteristics.

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Authors and Affiliations

  1. Russian State Atomic Energy Corporation Russian Nuclear-Power Machine Building, Research Institute, u. Kosmonavta Volkova 6a, 125171, Moskva, Russia

    Professor Dr.-Ing. habil. Yuri B. Zudin

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  1. Professor Dr.-Ing. habil. Yuri B. Zudin
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Correspondence to Yuri B. Zudin .

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Zudin, Y.B. (2012). Universal Algorithm of Computation of the Factor of Conjugation. In: Theory of Periodic Conjugate Heat Transfer. Mathematical Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21421-9_4

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  • DOI: https://doi.org/10.1007/978-3-642-21421-9_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21420-2

  • Online ISBN: 978-3-642-21421-9

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