Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis
An irreversible Carnot cycle engine operating as a closed system is modeled using the Direct Method and the First Law of Thermodynamics for processes with Finite Speed. Several models considering the effect on the engine performance of external and internal irreversibilities expressed as a function...
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| Format: | Article |
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MDPI AG
2021-04-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/5/504 |
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| author | Monica Costea Stoian Petrescu Michel Feidt Catalina Dobre Bogdan Borcila |
| author_facet | Monica Costea Stoian Petrescu Michel Feidt Catalina Dobre Bogdan Borcila |
| author_sort | Monica Costea |
| collection | DOAJ |
| description | An irreversible Carnot cycle engine operating as a closed system is modeled using the Direct Method and the First Law of Thermodynamics for processes with Finite Speed. Several models considering the effect on the engine performance of external and internal irreversibilities expressed as a function of the piston speed are presented. External irreversibilities are due to heat transfer at temperature gradient between the cycle and heat reservoirs, while internal ones are represented by pressure losses due to the finite speed of the piston and friction. Moreover, a method for optimizing the temperature of the cycle fluid with respect to the temperature of source and sink and the piston speed is provided. The optimization results predict distinct maximums for the thermal efficiency and power output, as well as different behavior of the entropy generation per cycle and per time. The results obtained in this optimization, which is based on piston speed, and the Curzon–Ahlborn optimization, which is based on time duration, are compared and are found to differ significantly. Correction have been proposed in order to include internal irreversibility in the externally irreversible Carnot cycle from Curzon–Ahlborn optimization, which would be equivalent to a unification attempt of the two optimization analyses. |
| first_indexed | 2024-03-10T12:03:55Z |
| format | Article |
| id | doaj.art-89fa940545b74dd890aca7ca58f6a268 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T12:03:55Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-89fa940545b74dd890aca7ca58f6a2682023-11-21T16:43:33ZengMDPI AGEntropy1099-43002021-04-0123550410.3390/e23050504Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time AnalysisMonica Costea0Stoian Petrescu1Michel Feidt2Catalina Dobre3Bogdan Borcila4Department of Engineering Thermodynamics, University POLITEHNICA of Bucharest, Splaiul Independentei 313, 060042 Bucharest, RomaniaDepartment of Engineering Thermodynamics, University POLITEHNICA of Bucharest, Splaiul Independentei 313, 060042 Bucharest, RomaniaLaboratory of Energetics, Theoretical and Applied Mechanics (LEMTA), URA CNRS 7563, University of Lorraine, 54518 Vandoeuvre-lès-Nancy, FranceDepartment of Engineering Thermodynamics, University POLITEHNICA of Bucharest, Splaiul Independentei 313, 060042 Bucharest, RomaniaDepartment of Engineering Thermodynamics, University POLITEHNICA of Bucharest, Splaiul Independentei 313, 060042 Bucharest, RomaniaAn irreversible Carnot cycle engine operating as a closed system is modeled using the Direct Method and the First Law of Thermodynamics for processes with Finite Speed. Several models considering the effect on the engine performance of external and internal irreversibilities expressed as a function of the piston speed are presented. External irreversibilities are due to heat transfer at temperature gradient between the cycle and heat reservoirs, while internal ones are represented by pressure losses due to the finite speed of the piston and friction. Moreover, a method for optimizing the temperature of the cycle fluid with respect to the temperature of source and sink and the piston speed is provided. The optimization results predict distinct maximums for the thermal efficiency and power output, as well as different behavior of the entropy generation per cycle and per time. The results obtained in this optimization, which is based on piston speed, and the Curzon–Ahlborn optimization, which is based on time duration, are compared and are found to differ significantly. Correction have been proposed in order to include internal irreversibility in the externally irreversible Carnot cycle from Curzon–Ahlborn optimization, which would be equivalent to a unification attempt of the two optimization analyses.https://www.mdpi.com/1099-4300/23/5/504irreversible Carnot engineoptimizationthermodynamics with finite speedinternal and external irreversibilitiesentropy generation calculationthermodynamics in finite time |
| spellingShingle | Monica Costea Stoian Petrescu Michel Feidt Catalina Dobre Bogdan Borcila Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis Entropy irreversible Carnot engine optimization thermodynamics with finite speed internal and external irreversibilities entropy generation calculation thermodynamics in finite time |
| title | Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis |
| title_full | Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis |
| title_fullStr | Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis |
| title_full_unstemmed | Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis |
| title_short | Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis |
| title_sort | optimization modeling of irreversible carnot engine from the perspective of combining finite speed and finite time analysis |
| topic | irreversible Carnot engine optimization thermodynamics with finite speed internal and external irreversibilities entropy generation calculation thermodynamics in finite time |
| url | https://www.mdpi.com/1099-4300/23/5/504 |
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