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Analytical theory of regenerative heat transfer and study of its thermodynamic efficiency

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Abstract

An analytical theory of the cyclic process of regenerative heat transfer is developed. Introduction of operator-valued functions of integral operators allowed the authors to formulate an equation for determination of periodic solutions. A solution of this equation is found in a linear approximation with respect to switching times. A functional — exergic efficiency — is introduced on periodic solutions. The analytical solution obtained made it possible to study the dependence of the introduced criterion on the parameters of the system and to describe the time mode of the process in which the thermodynamic efficiency is maximum. Comparison of the analytical theory and a numerical analysis of the problem showed that upon choosing an operating mode of the apparatus that fits the maximum values of the introduced criterion, one can use results of the analytical solution at all admissible values of the switching times.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, Russia

    B. N. Okunev & M. S. Safonov

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  1. B. N. Okunev
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  2. M. S. Safonov
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 2, pp. 237–243, March–April, 2000.

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Okunev, B.N., Safonov, M.S. Analytical theory of regenerative heat transfer and study of its thermodynamic efficiency. J Eng Phys Thermophys 73, 232–237 (2000). https://doi.org/10.1007/BF02681722

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  • DOI: https://doi.org/10.1007/BF02681722

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