Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage
Heat transfer process with heat leakage and generalized radiative heat transfer law (HTL) [q∝Δ(Tn)] is investigated. Optimality condition for the minimum entransy dissipation (MED) is derived by applying average optimal control theory. On the basis of the general optimization result, the results for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X22004294 |
| _version_ | 1811325865470984192 |
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| author | Lingen Chen Shaojun Xia |
| author_facet | Lingen Chen Shaojun Xia |
| author_sort | Lingen Chen |
| collection | DOAJ |
| description | Heat transfer process with heat leakage and generalized radiative heat transfer law (HTL) [q∝Δ(Tn)] is investigated. Optimality condition for the minimum entransy dissipation (MED) is derived by applying average optimal control theory. On the basis of the general optimization result, the results for four special cases of Newtonian [q∝Δ(T)], linear phenomenological [q∝Δ(T−1)], radiative [q∝Δ(T4)], and mixed [q∝Δ(T4) with q∝Δ(T)] HTLs are further obtained. Optimal paths are compared with the common strategies of constant heat flux rate and constant hot fluid temperature operation. Numerical examples are presented, and influences of heat transferred amount and heat leakage on optimization performances are analyzed. |
| first_indexed | 2024-04-13T14:41:03Z |
| format | Article |
| id | doaj.art-ea3b2ff2ea444083bcbfc8211beb9bf3 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-04-13T14:41:03Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-ea3b2ff2ea444083bcbfc8211beb9bf32022-12-22T02:42:54ZengElsevierCase Studies in Thermal Engineering2214-157X2022-08-0136102183Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakageLingen Chen0Shaojun Xia1Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan, 430205, China; School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan, 430205, China; Corresponding author., . Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan, 430205, China.School of Power Engineering, Naval University of Engineering, Wuhan, 430033, ChinaHeat transfer process with heat leakage and generalized radiative heat transfer law (HTL) [q∝Δ(Tn)] is investigated. Optimality condition for the minimum entransy dissipation (MED) is derived by applying average optimal control theory. On the basis of the general optimization result, the results for four special cases of Newtonian [q∝Δ(T)], linear phenomenological [q∝Δ(T−1)], radiative [q∝Δ(T4)], and mixed [q∝Δ(T4) with q∝Δ(T)] HTLs are further obtained. Optimal paths are compared with the common strategies of constant heat flux rate and constant hot fluid temperature operation. Numerical examples are presented, and influences of heat transferred amount and heat leakage on optimization performances are analyzed.http://www.sciencedirect.com/science/article/pii/S2214157X22004294Finite time thermodynamicsMinimum entransy dissipationHeat transfer processHeat leakageGeneralized radiative heat transfer lawAverage optimal control theory |
| spellingShingle | Lingen Chen Shaojun Xia Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage Case Studies in Thermal Engineering Finite time thermodynamics Minimum entransy dissipation Heat transfer process Heat leakage Generalized radiative heat transfer law Average optimal control theory |
| title | Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage |
| title_full | Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage |
| title_fullStr | Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage |
| title_full_unstemmed | Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage |
| title_short | Minimizing entransy dissipation for heat transfer processes with q∝Δ(Tn) and heat leakage |
| title_sort | minimizing entransy dissipation for heat transfer processes with q∝δ tn and heat leakage |
| topic | Finite time thermodynamics Minimum entransy dissipation Heat transfer process Heat leakage Generalized radiative heat transfer law Average optimal control theory |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X22004294 |
| work_keys_str_mv | AT lingenchen minimizingentransydissipationforheattransferprocesseswithqdtnandheatleakage AT shaojunxia minimizingentransydissipationforheattransferprocesseswithqdtnandheatleakage |