Optimization performance and thermodynamic analysis of an irreversible nano scale Brayton cycle operating with Maxwell–Boltzmann gas

Abstract In last decades, nano technology developed. Since, nano scale thermal cycles will be possibly employed in the near future. In this research, a nano scale irreversible Brayton cycle is investigated thermodynamically for optimizing the performance of the aforementioned cycle. Ideal Maxwell–Boltzmann gas is employed as a working fluid in the system. In this paper, two scenarios are employed in the multi-objective optimization process; however, the outcomes of each of the scenarios are evaluated independently. In the first scenario, in order to maximize the dimensionless Maximum available work and energy efficiency of the system, multi-objective optimization algorithms is employed. Furthermore, in the second scenario, two objective functions comprising the dimensionless Maximum available work and the dimensionless Ecological function are maximized concurrently via employing multi objective optimization algorithms. The multi objective evolutionary approaches on the basis of non-dominated sorting genetic algorithm method are employed in this paper. Decision making is done via three methods including linear programming techniques for multidimensional analysis of preference and Technique for order of preference by similarity to ideal solution and Bellman–Zadeh. Finally, error analysis is implemented on the results obtained from each scenario.

[1]  Amir H. Mohammadi,et al.  Optimisation of the thermodynamic performance of the Stirling engine , 2016 .

[2]  Hoseyn Sayyaadi,et al.  Application of the multi-objective optimization method for designing a powered Stirling heat engine: Design with maximized power, thermal efficiency and minimized pressure loss , 2013 .

[3]  Amir H. Mohammadi,et al.  Thermo-economic multi-objective optimization of solar dish-Stirling engine by implementing evolutionary algorithm , 2013 .

[4]  Bihong Lin,et al.  Influence of regeneration on the performance of a Brayton refrigeration-cycle working with an ideal Bose-gas , 2006 .

[5]  Mehdi Mehrpooya,et al.  Thermodynamic optimization of Stirling heat pump based on multiple criteria , 2014 .

[6]  Mehdi Mehrpooya,et al.  Thermodynamic and thermo-economic analysis and optimization of performance of irreversible four-temperature-level absorption refrigeration , 2014 .

[7]  Altug Sisman,et al.  Surface dependency in thermodynamics of ideal gases , 2004 .

[8]  Ming Zhang,et al.  Integrating multi-objective genetic algorithm based clustering and data partitioning for skyline computation , 2011, Applied Intelligence.

[9]  Amir H. Mohammadi,et al.  Multi-objective optimization of an irreversible Stirling cryogenic refrigerator cycle , 2014 .

[10]  Umberto Lucia,et al.  Irreversibility, entropy and incomplete information , 2009 .

[11]  Jincan Chen,et al.  Influence of quantum degeneracy on the performance of a Stirling refrigerator working with an ideal Fermi gas , 2002 .

[12]  Fengrui Sun,et al.  Exergy-based ecological optimization of linear phenomenological heat-transfer law irreversible Carnot-engines , 2006 .

[13]  U. Lucia.  Quanta and entropy generation , 2015 .

[14]  U. Lucia.  Maximum or minimum entropy generation for open systems , 2012 .

[15]  Emin Açıkkalp,et al.  Determining performance of an irreversible nano scale dual cycle operating with Maxwell–Boltzmann gas , 2015 .

[16]  David W. Coit,et al.  Multi-objective optimization using genetic algorithms: A tutorial , 2006, Reliab. Eng. Syst. Saf..

[17]  M. Ahmadi,et al.  Evaluation of the maximized power of a regenerative endoreversible Stirling cycle using the thermodynamic analysis , 2013 .

[18]  Hoseyn Sayyaadi,et al.  Optimal Design of a Solar-Driven Heat Engine Based on Thermal and Ecological Criteria , 2015 .

[19]  Amir H. Mohammadi,et al.  Optimal design of a solar driven heat engine based on thermal and thermo-economic criteria , 2013 .

[20]  Umberto Lucia,et al.  Maximum entropy generation and κ-exponential model , 2010 .

[21]  Yasin Ust,et al.  Ecological coefficient of performance analysis and optimization of an irreversible regenerative-Brayton heat engine , 2006 .

[22]  Lingen Chen,et al.  Finite-time thermodynamic modeling and analysis for an irreversible Dual cycle , 2009, Math. Comput. Model..

[23]  Arnaldo Cecchini,et al.  A decision support tool coupling a causal model and a multi-objective genetic algorithm , 2005, Applied Intelligence.

[24]  Lingen Chen,et al.  The effect of friction on the performance of an air standard dual cycle , 2002 .

[25]  Mehdi Mehrpooya,et al.  Thermo-ecological analysis and optimization performance of an irreversible three-heat-source absorption heat pump , 2015 .

[26]  Yasin Ust,et al.  Effect of regeneration on the thermo-ecological performance analysis and optimization of irreversible air refrigerators , 2010 .

[27]  Yanming Kang,et al.  Performance optimization for an irreversible four-temperature-level absorption heat pump , 2008 .

[28]  Yasin Ust,et al.  Performance optimization of irreversible refrigerators based on a new thermo-ecological criterion , 2007 .

[29]  Fengrui Sun,et al.  Quantum degeneracy effect on performance of irreversible otto cycle with ideal Bose gas , 2006 .

[30]  Lingen Chen,et al.  The ecological optimisation of a generalised irreversible Carnot engine for a generalised heat transfer law , 2003 .

[31]  Michel Feidt,et al.  Performance Optimization of a Solar-Driven Multi-Step Irreversible Brayton Cycle Based on a Multi-Objective Genetic Algorithm , 2016 .

[32]  Lingen Chen,et al.  Finite-time thermodynamic performance of a Dual cycle , 1999 .

[33]  Bihong Lin,et al.  Influence of quantum degeneracy and regeneration on the performance of Bose-Stirling refrigeration-cycles operated in different temperature regions , 2006 .

[34]  Beatrice M. Ombuki-Berman,et al.  Multi-Objective Genetic Algorithms for Vehicle Routing Problem with Time Windows , 2006, Applied Intelligence.

[35]  Mohammad Ali Ahmadi,et al.  Thermodynamic analysis and optimisation of an irreversible radiative-type heat engine by using non-dominated sorting genetic algorithm , 2016 .

[36]  Fengrui Sun,et al.  Ecological optimization for generalized irreversible Carnot engines , 2004 .

[37]  Fengrui Sun,et al.  Effects of heat transfer, friction and variable specific heats of working fluid on performance of an irreversible dual cycle , 2006 .

[38]  Yasin Ust,et al.  Performance analysis and optimization of an irreversible dual-cycle based on an ecological coefficient of performance criterion , 2005 .

[39]  Hoseyn Sayyaadi,et al.  Designing a solar powered Stirling heat engine based on multiple criteria: Maximized thermal efficiency and power , 2013 .

[40]  Altug Sisman,et al.  Brayton refrigeration cycles working under quantum degeneracy conditions , 2001 .

[41]  Gary B. Lamont,et al.  Multiobjective Evolutionary Algorithms: Analyzing the State-of-the-Art , 2000, Evolutionary Computation.

[42]  Lingen Chen,et al.  Power, efficiency, entropy-generation rate and ecological optimization for a class of generalized irreversible universal heat-engine cycles , 2007 .

[43]  Michel Feidt,et al.  Thermo-economic optimization of Stirling heat pump by using non-dominated sorting genetic algorithm , 2015 .

[44]  Hao Wang,et al.  Performance characteristics of a quantum Diesel refrigeration cycle , 2009 .

[45]  Yasin Ust,et al.  Performance analysis and optimization of irreversible air refrigeration cycles based on ecological coefficient of performance criterion , 2009 .

[46]  F. Curzon,et al.  Efficiency of a Carnot engine at maximum power output , 1975 .

[47]  Amir H. Mohammadi,et al.  Multi-objective thermodynamic-based optimization of output power of Solar Dish-Stirling engine by implementing an evolutionary algorithm , 2013 .

[48]  Guoxing Lin,et al.  Ecological optimization criterion for an irreversible three-heat-source refrigerator , 2000 .

[49]  Fernando Angulo-Brown,et al.  An ecological optimization criterion for finite‐time heat engines , 1991 .

[50]  Cha'o-Kuang Chen,et al.  The ecological optimization of an irreversible Carnot heat engine , 1997 .

[51]  Mohammad Ali Ahmadi,et al.  Thermodynamic analysis and optimization of an irreversible Ericsson cryogenic refrigerator cycle , 2015 .

[52]  Hasan Yamik,et al.  Limits and Optimization of Power Input or Output of Actual Thermal Cycles , 2013, Entropy.

[53]  Lingen Chen,et al.  Universal ecological performance for endo-reversible heat engine cycles , 2006 .

[54]  Yasin Ust,et al.  The effects of intercooling and regeneration on the thermo-ecological performance analysis of an irreversible-closed Brayton heat engine with variable-temperature thermal reservoirs , 2006 .

[55]  Lingen Chen,et al.  Effect of Heat Transfer Law on the Ecological Optimization of a Generalized Irreversible Carnot Engine , 2005, Open Syst. Inf. Dyn..

[56]  Fengrui Sun,et al.  Exergy-based ecological optimal performance for a universal endoreversible thermodynamic cycle , 2007 .

[57]  Andrea Toffolo,et al.  Evolutionary algorithms for multi-objective energetic and economic optimization in thermal system design , 2002 .

[58]  Zijun Yan,et al.  Comment on ‘‘An ecological optimization criterion for finite‐time heat engines’’ [J. Appl. Phys. 69, 7465 (1991)] , 1993 .

[59]  Alibakhsh Kasaeian,et al.  Multi-objective optimization of Stirling engine using non-ideal adiabatic method , 2014 .

[60]  Andrea Toffolo,et al.  Energy, economy and environment as objectives in multi-criterion optimization of thermal systems design , 2004 .

[61]  Ingo Müller,et al.  The Casimir-like size effects in ideal gases , 2004 .