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Finite Time Thermodynamics: Realizability Domain of Heat to Work Converters

  • M. A. Zaeva EMAIL logo , A. M. Tsirlin and O. V. Didina
Published/Copyright: February 27, 2019

Abstract

From the point of view of finite time thermodynamics, the performance boundaries of thermal machines are considered, taking into account the irreversibility of the heat exchange processes of the working fluid with hot and cold sources. It is shown how the kinetics of heat exchange affects the shape of the optimal cycle of a heat engine and its performance, with a focus on the energy conversion efficiency in the maximum power mode. This energy conversion efficiency can depend only on the ratio of the heat transfer coefficients to the sources or not depend on them at all. A class of kinetic functions corresponding to “natural” requirements is introduced and it is shown that for any kinetics from this class the optimal cycle consists of two isotherms and two adiabats, not only for the maximum power problem, but also for the problem of maximum energy conversion efficiency at a given power. Examples are given for calculating the parameters of the optimal cycle for the case when the heat transfer coefficient to the cold source is arbitrarily large and for kinetics in the form of a Fourier law.

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Received: 2018-02-28
Revised: 2019-01-04
Accepted: 2019-01-09
Published Online: 2019-02-27
Published in Print: 2019-04-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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