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100.1.#.a: Xia, Shaojun; Chen, Lingen; Su, Fengrui

524.#.#.a: Xia, Shaojun, et al. (2009). Optimal configuration of a finite mass reservoir isothermal chemical engine for maximum work output with linear mass transfer law. Revista Mexicana de Física; Vol 55, No 5: 399-0. Recuperado de https://repositorio.unam.mx/contenidos/41567

245.1.0.a: Optimal configuration of a finite mass reservoir isothermal chemical engine for maximum work output with linear mass transfer law

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2009

264.#.1.c: 2009-01-01

653.#.#.a: Finite high-chemical-potential reservoir; isothermal endoreversible chemical engine; maximum work output; optimal control; generalized thermodynamic optimization

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2009-01-01, para un uso diferente consultar al responsable jurídico del repositorio por medio de rmf@ciencias.unam.mx

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041.#.7.h: eng

520.3.#.a: An isothermal endoreversible chemical engine operating between a finite high-chemical- potential reservoir and an infinite low-chemical-potential reservoir in which the mass transfer between the working fluid and the mass reservoirs obeys the linear mass-transfer law [g \∝ \Δ \μ ], is put forward in this paper. Optimal control theory is applied to determine the optimal cycle configuration corresponding to the maxiμm work output for the fixed total cycle time. The optimal cycle configuration is an isothermal endoreversible chemical engine cycle in which the chemical potential (concentration) of the key component in the finite high-chemical- potential mass reservoir and that in the working fluid change nonlinearly with time. The difference in chemical potentials (ratio of the concentrations) between the key component in the finite mass reservoir and the working fluid is a constant, and the chemical potential (concentration) of the key component in the working fluid at the low chemical potential side is also a constant. A numerical example is provided, and the effects of the concentration changes in the key component in the finite high-chemical-potential reservoir on the optimal configuration of the chemical engine are analyzed. The obtained results are compared with those obtained for an endoreversible heat engine operating between a finite heat source and an infinite heat sink with Newton's heat transfer law [q \∝ \Δ T] in the heat transfer processes. The object studied in this paper is general, and the results could provide some guidelines for the optimal design and operation of real chemical engines.

773.1.#.t: Revista Mexicana de Física; Vol 55, No 5 (2009): 399-0

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handle: 6c0877f24fb3e4ea

harvesting_date: 2020-09-23 00:00:00.0

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last_modified: 2020-11-27 00:00:00

license_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es

license_type: by-nc-nd

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Artículo

Optimal configuration of a finite mass reservoir isothermal chemical engine for maximum work output with linear mass transfer law

Xia, Shaojun; Chen, Lingen; Su, Fengrui

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Xia, Shaojun, et al. (2009). Optimal configuration of a finite mass reservoir isothermal chemical engine for maximum work output with linear mass transfer law. Revista Mexicana de Física; Vol 55, No 5: 399-0. Recuperado de https://repositorio.unam.mx/contenidos/41567

Descripción del recurso

Autor(es)
Xia, Shaojun; Chen, Lingen; Su, Fengrui
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Optimal configuration of a finite mass reservoir isothermal chemical engine for maximum work output with linear mass transfer law
Fecha
2009-01-01
Resumen
An isothermal endoreversible chemical engine operating between a finite high-chemical- potential reservoir and an infinite low-chemical-potential reservoir in which the mass transfer between the working fluid and the mass reservoirs obeys the linear mass-transfer law [g \∝ \Δ \μ ], is put forward in this paper. Optimal control theory is applied to determine the optimal cycle configuration corresponding to the maxiμm work output for the fixed total cycle time. The optimal cycle configuration is an isothermal endoreversible chemical engine cycle in which the chemical potential (concentration) of the key component in the finite high-chemical- potential mass reservoir and that in the working fluid change nonlinearly with time. The difference in chemical potentials (ratio of the concentrations) between the key component in the finite mass reservoir and the working fluid is a constant, and the chemical potential (concentration) of the key component in the working fluid at the low chemical potential side is also a constant. A numerical example is provided, and the effects of the concentration changes in the key component in the finite high-chemical-potential reservoir on the optimal configuration of the chemical engine are analyzed. The obtained results are compared with those obtained for an endoreversible heat engine operating between a finite heat source and an infinite heat sink with Newton's heat transfer law [q \∝ \Δ T] in the heat transfer processes. The object studied in this paper is general, and the results could provide some guidelines for the optimal design and operation of real chemical engines.
Tema
Finite high-chemical-potential reservoir; isothermal endoreversible chemical engine; maximum work output; optimal control; generalized thermodynamic optimization
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

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