Multi-Objective Optimization of Heat Exchanger Design by Entropy Generation Minimization

In the present work, a multi-objective optimization of heat exchanger thermal design in the framework of the entropy generation minimization is presented. The objectives are to minimize the dimensionless entropy generation rates related to the heat conduction under finite temperature difference and fluid friction under finite pressure drop. Constraints are specified by the admissible pressure drop and design standards. The genetic algorithm is employed to search the Pareto optimal set of the multi-objective optimization problem. It is found that the solutions in the Pareto optimal set are trade-off between the pumping power and heat exchanger effectiveness. In some sense, the optimal solution in the Pareto optimal set achieves the largest exchanger effectiveness by consuming the least pumping power under the design requirements and standards. In comparison with the single-objective optimization design, the multi-objective optimization design leads to the significant decrease in the pumping power for achieving the same heat exchanger effectiveness and presents more flexibility in the design process.

[1]  Kalyanmoy Deb,et al.  Controlled Elitist Non-dominated Sorting Genetic Algorithms for Better Convergence , 2001, EMO.

[2]  J. E. Hesselgreaves Rationalisation of second law analysis of heat exchangers , 2000 .

[3]  Mehmet Yilmaz,et al.  Performance evaluation criteria for heat exchangers based on second law analysis , 2001 .

[4]  Christopher R. Houck,et al.  A Genetic Algorithm for Function Optimization: A Matlab Implementation , 2001 .

[5]  Qiuwang Wang,et al.  Optimization of Compact Heat Exchangers by a Genetic Algorithm , 2008 .

[6]  A. Bejan Advanced Engineering Thermodynamics , 1988 .

[7]  A. Bejan,et al.  Integrative Thermodynamic Optimization of the Crossflow Heat Exchanger for an Aircraft Environmental Control System , 2001 .

[8]  Reşat Selbaş,et al.  A new design approach for shell-and-tube heat exchangers using genetic algorithms from economic point of view , 2006 .

[9]  Ramesh K. Shah,et al.  Entropy generation extrema and their relationship with heat exchanger effectiveness: Number of transfer unit behavior for complex flow arrangements , 2004 .

[10]  Sunil Sarangi,et al.  Second law based optimisation of crossflow plate-fin heat exchanger design using genetic algorithm , 2009 .

[11]  Larry C. Witte,et al.  A Thermodynamic Efficiency Concept for Heat Exchange Devices , 1983 .

[12]  Antonio Casimiro Caputo,et al.  Heat exchanger design based on economic optimisation , 2008 .

[13]  A. Bejan Second law analysis in heat transfer , 1980 .

[14]  R. Ogulata,et al.  Irreversibility analysis of cross flow heat exchangers , 2000 .

[15]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[16]  D. P. Sekulic,et al.  Fundamentals of Heat Exchanger Design , 2003 .

[17]  Michele Marchesi,et al.  A greedy genetic algorithm for continuous variables electromagnetic optimization problems , 1997 .

[18]  Min-Kyu Kim,et al.  Optimal design of electric machine using genetic algorithms coupled with direct method , 1999 .

[19]  A. Bejan,et al.  Entropy Generation Through Heat and Fluid Flow , 1983 .

[20]  Gongnan Xie,et al.  Experimental Study and Genetic-Algorithm-Based Correlation on Pressure Drop and Heat Transfer Performances of a Cross-Corrugated Primary Surface Heat Exchanger , 2009 .

[21]  B. V. Babu,et al.  Differential evolution strategies for optimal design of shell-and-tube heat exchangers , 2007 .

[22]  Ilya Prigogine,et al.  Introduction to Thermodynamics of Irreversible Processes , 1967 .

[23]  Joseph W. Palen Heat Exchanger Sourcebook , 1986 .

[24]  A. Bejan The Concept of Irreversibility in Heat Exchanger Design: Counterflow Heat Exchangers for Gas-to-Gas Applications , 1977 .

[25]  Giampietro Fabbri,et al.  Multi-objective genetic optimization of the heat transfer from longitudinal wavy fins , 2009 .

[26]  Hany A. Mohamed,et al.  Entropy Generation in Counter Flow Gas to Gas Heat Exchangers , 2006 .

[27]  Eric S. Fraga,et al.  Multi-objective optimisation of batch separation processes , 2008 .

[28]  Kuzman Ražnjević,et al.  Handbook of Thermodynamic Tables , 1995 .

[29]  Gongnan Xie,et al.  Experimental Study and Genetic-Algorithm-Based Correlation on Shell-Side Heat Transfer and Flow Performance of Three Different Types of Shell-and-Tube Heat Exchangers , 2007 .

[30]  Ramesh K. Shah,et al.  Costs of Irreversibilities in Heat Exchanger Design , 1983 .

[31]  G. F. Uler,et al.  A hybrid technique for the optimal design of electromagnetic devices using direct search and genetic algorithms , 1997 .

[32]  Ken Ogiso Duality of Heat Exchanger Performance in Balanced Counter-Flow Systems , 2003 .

[33]  Mingtian Xu,et al.  Optimization design of shell-and-tube heat exchanger by entropy generation minimization and genetic algorithm , 2009 .

[34]  R. Hilbert,et al.  Multi-objective shape optimization of a heat exchanger using parallel genetic algorithms , 2006 .