Power maximization for a discrete-model of multistage dynamic irreversible isothermal-chemical-engine with linear mass-transfer law
Power maximization for a discrete-model of multistage dynamic irreversible isothermal-chemical-engine (IICE) with a linear mass-transfer-law is investigated by applying discrete-maximum-principle and dynamic-programming method with conditions of fixed initial-time and fixed initial key-component-con...
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| Published in: | International communications in heat and mass transfer Vol. 149; p. 107153 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.12.2023
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| ISSN: | 0735-1933 |
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| Abstract | Power maximization for a discrete-model of multistage dynamic irreversible isothermal-chemical-engine (IICE) with a linear mass-transfer-law is investigated by applying discrete-maximum-principle and dynamic-programming method with conditions of fixed initial-time and fixed initial key-component-concentration (KCC). Relationships among the maximum power (MPO), final-KCC and process-period for discrete multistage dynamic IICE system are discussed in detail. Results show that when final-concentration and process-period are fixed, there does exist an optimal control-strategy for MPO, and internal-irreversibility factor has a significant effect on the MPO, but the corresponding optimal-concentration-configurations are the same. When final-time and final-concentration are fixed and free, respectively, there does exist an optimal final-KCC for MPO, and change of internal-irreversibility factor has effects on MPO and the corresponding optimal-KCC configurations now; the more total stage-number of chemical-engines is, the more closely optimization results of discrete-model tend to those of the corresponding continuous-model. When final-time and final-concentration are free and fixed, respectively, numerical example shows that for the discrete multistage dynamic IICE system with total stage-numbers of N=25 and N=50, respectively, total MPOs are with relative errors of 1.66% and 3.33%, respectively, comparing with that for the continuous-model of multistage dynamic IICE system. Both the model established and the mothed adopted herein are effective.
•Discrete-model of multistage dynamic irreversible isothermal-chemical-engine is built.•Linear mass transfer law, internal dissipation and finite potential source are considered.•Finite time thermodynamics is applied with discrete-maximum-principle and dynamic-programming.•Power maximization is performed with fixed initial time and key component concentration.•Numerical examples are provided and results are compared with those for continuous-model. |
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| AbstractList | Power maximization for a discrete-model of multistage dynamic irreversible isothermal-chemical-engine (IICE) with a linear mass-transfer-law is investigated by applying discrete-maximum-principle and dynamic-programming method with conditions of fixed initial-time and fixed initial key-component-concentration (KCC). Relationships among the maximum power (MPO), final-KCC and process-period for discrete multistage dynamic IICE system are discussed in detail. Results show that when final-concentration and process-period are fixed, there does exist an optimal control-strategy for MPO, and internal-irreversibility factor has a significant effect on the MPO, but the corresponding optimal-concentration-configurations are the same. When final-time and final-concentration are fixed and free, respectively, there does exist an optimal final-KCC for MPO, and change of internal-irreversibility factor has effects on MPO and the corresponding optimal-KCC configurations now; the more total stage-number of chemical-engines is, the more closely optimization results of discrete-model tend to those of the corresponding continuous-model. When final-time and final-concentration are free and fixed, respectively, numerical example shows that for the discrete multistage dynamic IICE system with total stage-numbers of N=25 and N=50, respectively, total MPOs are with relative errors of 1.66% and 3.33%, respectively, comparing with that for the continuous-model of multistage dynamic IICE system. Both the model established and the mothed adopted herein are effective.
•Discrete-model of multistage dynamic irreversible isothermal-chemical-engine is built.•Linear mass transfer law, internal dissipation and finite potential source are considered.•Finite time thermodynamics is applied with discrete-maximum-principle and dynamic-programming.•Power maximization is performed with fixed initial time and key component concentration.•Numerical examples are provided and results are compared with those for continuous-model. |
| ArticleNumber | 107153 |
| Author | Xia, Shaojun Chen, Lingen |
| Author_xml | – sequence: 1 givenname: Lingen surname: Chen fullname: Chen, Lingen email: lingenchen@hotmail.com, 2506715339@qq.com organization: Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China – sequence: 2 givenname: Shaojun surname: Xia fullname: Xia, Shaojun organization: School of Power Engineering, Naval University of Engineering, Wuhan 430033, China |
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| Keywords | Multistage discrete system Linear mass-transfer law Power maximization Dynamic-programming method Discrete-maximum-principle Irreversible isothermal-chemical-engine |
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| SubjectTerms | Discrete-maximum-principle Dynamic-programming method Irreversible isothermal-chemical-engine Linear mass-transfer law Multistage discrete system Power maximization |
| Title | Power maximization for a discrete-model of multistage dynamic irreversible isothermal-chemical-engine with linear mass-transfer law |
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