The fundamental optimal relations and the bounds of the allocation of heat exchangers and efficiency for a non-endoreversible brayton cycle

G. Aragón-González, A. Canales-Palma, A. León-Galicia, M. Musharrafie-Martínez

Abstract


In this paper we analyze a Brayton cycle with external and internal irreversibilities. The external ones come from heat transfer with counterflow heat exchangers in the cold and hot sides; the internal irreversibilities are given by the isentropic efficiencies of the compressor and turbine. Optimization is carried out with respect to the pressure ratio and the total inventory of the heat transfer units, using the $\varepsilon$-NTU method. We show the analytical expressions for the efficiency that mazimizes work and the optimal allocation (size) of heat exchangers. We also analyze the asymptotic behavior of these expressions. The results obtained extend a Bejan's model and are more general and useful.

Keywords


Thermodynamics Optimization, heat engines. internal, external irreversibilities

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REVISTA MEXICANA DE FÍSICA, year 67, issue 2, March-April 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, March 1st., 2021.

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