Geometric Parameterization and Multiobjective Shape Optimization of Convective Periodic Channels

In this article we describe a general procedure for the geometric parameterization and multiobjective shape optimization of periodic wavy channels, representative of the repeating module of an ample variety of heat exchangers. The two objectives considered are the maximization of heat transfer rate and the minimization of friction factor. Since there is no single optimum to be found, we use a multiobjective genetic algorithm and the so-called Pareto dominance concept. The optimization of the two-dimensional periodic channel is obtained, by means of an unstructured finite-element solver, for a fluid of Prandtl number Pr = 0.7, assuming fully developed velocity and temperature fields, and steady laminar conditions. The geometry of the channel is parameterized either by means of simple linear-piecewise profiles, or by nonuniform rational B-splines, and in the latter case their control points represent the design variables. The results obtained are very encouraging, and the procedure described can be applied, in principle, to even more complex problems.

[1]  R. Stephenson.  A and V , 1962, The British journal of ophthalmology.

[2]  E. Sparrow,et al.  Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area , 1977 .

[3]  R. Shah.  Laminar Flow Forced convection in ducts , 1978 .

[4]  R. K. Shah.  Chapter V – Circular Duct , 1978 .

[5]  L. P. Pertsev,et al.  Optimum design of plate heat exchangers , 1985 .

[6]  J. H. Kane,et al.  Three-dimensional boundary element thermal shape sensitivity analysis , 1992 .

[7]  Carlo Poloni,et al.  Aerodynamic Shape Optimization by means of a Genetic Algorithm , 1993 .

[8]  Nestor V. Queipo,et al.  Genetic algorithms for thermosciences research: application to the optimized cooling of electronic components , 1994 .

[9]  D. Quagliarella,et al.  Genetic algorithms applied to the aerodynamic design of transonic airfoils , 1994 .

[10]  Volker Nissen,et al.  Evolutionary Algorithms in Management Applications , 1995 .

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

[12]  G. Fabbri.  A genetic algorithm for fin profile optimization , 1997 .

[13]  R. Alsan Meric,et al.  SHAPE DESIGN SENSITIVITY ANALYSIS AND OPTIMIZATION FOR NONLINEAR HEAT AND ELECTRIC CONDUCTION PROBLEMS , 1998 .

[14]  Anthony M. Jacobi,et al.  Air-Side Flow and Heat Transfer in Compact Heat Exchangers: A Discussion of Enhancement Mechanisms , 1998 .

[15]  G. Comini,et al.  FINITE-ELEMENT ANALYSIS OF CONVECTION PROBLEMS IN SPATIALLY PERIODIC DOMAINS , 1998 .

[16]  D Quagliarella.  Genetic algorithms and evolution strategy in engineering and computer science : recent advances and industrial applications , 1998 .

[17]  Giampietro Fabbri,et al.  Optimization of heat transfer through finned dissipators cooled by laminar flow , 1998 .

[18]  Giampietro Fabbri,et al.  Heat transfer optimization in corrugated wall channels , 2000 .

[19]  Chin-Hsiang Cheng, Chun-Yin Wu.  AN APPROACH COMBINING BODY-FITTED GRID GENERATION AND CONJUGATE GRADIENT METHODS FOR SHAPE DESIGN IN HEAT CONDUCTION PROBLEMS , 2000 .

[20]  M. Potiron.  A GENETIC ALGORITHM FOR THE SHAPE OPTIMIZATION OF PARTS SUBJECTED TO THERMAL LOADING , 2001 .

[21]  Chin-Hsien Lan, Chin-Hsiang Cheng, Chun-Yin Wu.  SHAPE DESIGN FOR HEAT CONDUCTION PROBLEMS USING CURVILINEAR GRID GENERATION, CONJUGATE GRADIENT, AND REDISTRIBUTION METHODS , 2001 .

[22]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[23]  Yogendra Joshi,et al.  Optimization study of stacked micro-channel heat sinks for micro-electronic cooling , 2003 .

[24]  Hassan Ugail.  Parametric Design and Optimisation of Thin-Walled Structures for Food Packaging , 2003 .

[25]  Enrico Nobile,et al.  Direct numerical simulation of heat transfer over riblets , 2003 .

[26]  Dong-Hoon Choi,et al.  OPTIMUM DESIGN OF PLATE HEAT EXCHANGER WITH STAGGERED PIN ARRAYS , 2004 .

[27]  J. Parry,et al.  Simulation-based design optimization methodologies applied to CFD , 2004, IEEE Transactions on Components and Packaging Technologies.

[28]  Qing Li,et al.  Evolutionary topology optimization for temperature reduction of heat conducting fields , 2004 .

[29]  Kwan-Soo Lee,et al.  NUMERICAL SHAPE OPTIMIZATION FOR HIGH PERFORMANCE OF A HEAT SINK WITH PIN-FINS , 2004 .

[30]  Alain J. Kassab,et al.  AN EFFICIENT SINGULAR SUPERPOSITION TECHNIQUE FOR CAVITY DETECTION AND SHAPE OPTIMIZATION , 2004 .

[31]  Kwang-Yong Kim,et al.  Design optimization of rib-roughened channel to enhance turbulent heat transfer , 2004 .

[32]  S. Moon,et al.  Optimal design of heat exchangers using the progressive quadratic response surface model , 2005 .

[33]  A. Długosz,et al.  Evolutionary shape optimization of thermoelastic bodies exchanging heat by convection and radiation , 2005 .

[34]  Singiresu S. Rao.  Engineering Optimization : Theory and Practice , 2010 .