Finite-time exergy with a finite heat reservoir and generalized radiative heat transfer law
Xia, Shaojun; Chen, Lingen; Su, Fengrui
Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM
dor_id: 41619
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650.#.4.x: Físico Matemáticas y Ciencias de la Tierra
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856.4.0.u: https://rmf.smf.mx/ojs/rmf/article/view/3763/3730
100.1.#.a: Xia, Shaojun; Chen, Lingen; Su, Fengrui
524.#.#.a: Xia, Shaojun, et al. (2010). Finite-time exergy with a finite heat reservoir and generalized radiative heat transfer law. Revista Mexicana de Física; Vol 56, No 4: 287-0. Recuperado de https://repositorio.unam.mx/contenidos/41619
245.1.0.a: Finite-time exergy with a finite heat reservoir and generalized radiative heat transfer law
502.#.#.c: Universidad Nacional Autónoma de México
561.1.#.a: Facultad de Ciencias, UNAM
264.#.0.c: 2010
264.#.1.c: 2010-01-01
653.#.#.a: Finite time thermodynamics; finite-time exergy; finite heat reservoir; generalized radiative heat transfer law; optimal control
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 2010-01-01, para un uso diferente consultar al responsable jurídico del repositorio por medio de rmf@ciencias.unam.mx
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001.#.#.#: oai:ojs.rmf.smf.mx:article/3763
041.#.7.h: eng
520.3.#.a: The problem of the maximum work that can be extracted from a system consisting of one finite heat reservoir and one subsystem with the generalized radiative heat transfer law [q \∝ \Δ (T n)] is investigated in this paper. Finite-time exergy is derived for a fixed duration and a given initial state of the subsystem by applying optimal control theory. The optimal subsystem temperature configuration for the finite-time exergy consists of three segments, including the initial and final instantaneous adiabatic branches and the intermediate heat transfer branch. Analyses for special examples show that the optimal configuration of the heat transfer branch with Newton's heat transfer law [q \∝ \Δ (T)] is that the temperatures of the reservoir and the subsystem change exponentially with time and the temperature ratio between them is a constant; The optimal configuration of the heat transfer branch with the linear phenomenological heat transfer law [q \∝ \Δ (T - 1 )] is such that the temperatures of the reservoir and the subsystem change linearly and non-linearly with time, respectively, and the difference in reciprocal temperature between them is a constant. The optimal configuration of the heat transfer branch with the radiative heat transfer law [q \∝ \Δ (T 4)] is significantly different from those with the former two different heat transfer laws. Numerical examples are given, effects of changes in the reservoir's heat capacity on the optimized results are analyzed, and the results for the cases with some special heat transfer laws are also compared with each other. The results show that heat transfer laws have significant effects on the finite-time exergy and the corresponding optimal thermodynamic process. The finite-time exergy tends to the classical thermodynamic exergy and the average power tends to zero when the process duration tends to infinitely large. Some modifications are also made to the results from recent literatures.
773.1.#.t: Revista Mexicana de Física; Vol 56, No 4 (2010): 287-0
773.1.#.o: https://rmf.smf.mx/ojs/rmf/index
046.#.#.j: 2020-11-25 00:00:00.000000
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handle: 48b0769a35d048ee
harvesting_date: 2020-09-23 00:00:00.0
856.#.0.q: application/pdf
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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Xia, Shaojun; Chen, Lingen; Su, Fengrui
Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM
Xia, Shaojun, et al. (2010). Finite-time exergy with a finite heat reservoir and generalized radiative heat transfer law. Revista Mexicana de Física; Vol 56, No 4: 287-0. Recuperado de https://repositorio.unam.mx/contenidos/41619