Approximation assisted optimization of headers for new generation of air-cooled heat exchangers

Abstract An online multiobjective approximation assisted optimization approach is used to design optimum headers for compact air-cooled heat exchangers. A new CFD model is developed to predict single-phase fluid flow in headers with multiple parallel ports. This CFD model applies the porous jump interior condition in order to reduce the computational domain. In addition, Non Uniform Rational B-Splines (NURBS) are used to define and manipulate the header outer shape with the purpose of reducing the mass flow rate maldistribution. Design optimization is performed using a multiobjective genetic algorithm while the computational cost due to CFD analysis is reduced significantly by applying an online approximation technique. Optimization is performed to reduce both the mass flow rate maldistribution in different ports and the header frontal area with respect to the total heat exchanger frontal area. The optimization results predicted from metamodels are verified using CFD runs with high accuracy of prediction.

[1]  Henry P. Wynn,et al.  Maximum entropy sampling , 1987 .

[2]  Rached Ben-Mansour,et al.  Correlations of flow maldistribution parameters in an air cooled heat exchanger , 2008 .

[3]  Min-Jea Tahk,et al.  Acceleration of the convergence speed of evolutionary algorithms using multi-layer neural networks , 2003 .

[4]  Andy J. Keane,et al.  Combining approximation concepts with genetic algorithm-based structural optimization procedures , 1998 .

[5]  A. Bejan,et al.  Constructal theory of generation of configuration in nature and engineering , 2006 .

[6]  Mark F. Horstemeyer,et al.  Multiobjective Crashworthiness Optimization with Radial Basis Functions , 2004 .

[7]  Kalyanmoy Deb,et al.  Computationally effective search and optimization procedure using coarse to fine approximations , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[8]  Stéphane Colin,et al.  Heat Transfer and Fluid Flow in Minichannels and Microchannels , 2005 .

[9]  Jorge Andrey Wilhelms Gut,et al.  Experimental and numerical heat transfer in a plate heat exchanger , 2006 .

[10]  Sangkwon Jeong,et al.  Experimental investigation of header configuration on flow maldistribution in plate-fin heat exchanger , 2003 .

[11]  T. Simpson,et al.  Efficient Pareto Frontier Exploration using Surrogate Approximations , 2000 .

[12]  Manolis Papadrakakis,et al.  Optimization of Large-Scale 3-D Trusses Using Evolution Strategies and Neural Networks , 1999 .

[13]  Shapour Azarm,et al.  A Kriging Metamodel Assisted Multi-Objective Genetic Algorithm for Design Optimization , 2008 .

[14]  Yanzhong Li,et al.  Experimental investigation of header configuration improvement in plate–fin heat exchanger , 2007 .

[15]  Ramesh K. Shah,et al.  Advances in Science and Technology of Compact Heat Exchangers , 2006 .

[16]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[17]  Meng-Sing Liou,et al.  Multiobjective optimization using coupled response surface model and evolutionary algorithm , 2004 .

[18]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[19]  Timothy W. Simpson,et al.  FACILITATING PROBABILISTIC MULTIDISCIPLINARY DESIGN OPTIMIZATION USING KRIGING APPROXIMATION MODELS , 2002 .

[20]  A. Bejan Shape and Structure, from Engineering to Nature , 2000 .

[21]  Reinhard Radermacher,et al.  Approximation-Assisted Optimization for Novel Compact Heat Exchanger Designs , 2010 .

[22]  Clark W. Bullard,et al.  Header design tradeoffs in microchannel evaporators , 2004 .

[23]  Donald E. Myers,et al.  Basic Linear Geostatistics , 1998, Technometrics.

[24]  Noel A. C. Cressie,et al.  Statistics for Spatial Data: Cressie/Statistics , 1993 .

[25]  Lingai Luo,et al.  Design and scaling laws of ramified fluid distributors by the constructal approach , 2004 .

[26]  A. Bejan Constructal-theory network of conducting paths for cooling a heat generating volume , 1997 .

[27]  R. Kent Dybvig,et al.  The Scheme Programming Language , 1995 .

[28]  Omar Abdelaziz Ahmed Abdelaziz,et al.  Development of multi-scale, multi-physics, analysis capability and its application to novel heat exchangers design and optimization , 2009 .

[29]  Lingai Luo,et al.  Optimal distribution of viscous dissipation in a multi-scale branched fluid distributor , 2005 .

[30]  Yanzhong Li,et al.  CFD simulation on inlet configuration of plate-fin heat exchangers , 2003 .

[31]  Seung Wook Baek,et al.  Effects of Distributor Configuration on Flow Maldistribution in Plate-Fin Heat Exchangers , 2005 .

[32]  Donald R. Jones,et al.  A Taxonomy of Global Optimization Methods Based on Response Surfaces , 2001, J. Glob. Optim..

[33]  Yaochu Jin,et al.  A comprehensive survey of fitness approximation in evolutionary computation , 2005, Soft Comput..

[34]  Reinhard Radermacher,et al.  Refrigerant Distribution in Minichannel Evaporator Manifolds , 2007 .

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

[36]  Timothy W. Simpson,et al.  Metamodels for Computer-based Engineering Design: Survey and recommendations , 2001, Engineering with Computers.

[37]  Yanzhong Li,et al.  Study of flow distribution and its improvement on the header of plate-fin heat exchanger , 2004 .