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Genetic-Programming-Based Symbolic Regression for Heat Transfer Correlations of a Compact Heat Exchanger

[+] Author Affiliations
Weihua Cai, Mihir Sen, K. T. Yang

University of Notre Dame, Notre Dame, IN

Arturo Pacheco-Vega

Universidad Autónoma de San Luis Potosí, San Luis Potosí, SLP, México

Paper No. HT2005-72293, pp. 367-374; 8 pages
  • ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems
  • Heat Transfer: Volume 4
  • San Francisco, California, USA, July 17–22, 2005
  • Conference Sponsors: Heat Transfer Division and Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4734-9 | eISBN: 0-7918-3762-9
  • Copyright © 2005 by ASME


We describe a symbolic regression methodology based on genetic programming to find correlations that can be used to estimate the performance of compact heat exchangers. Genetic programming is an evolutionary search technique in which functions represented as parse trees evolve as the search proceeds. An advantage of this approach is that functional forms of the correlation need not be assumed. The algorithm performs symbolic regression by seeking both the functional structure of the correlation and the coefficients therein that enable the closest fit to experimental data. This search is conducted within a functional domain constructed from sets of operators and terminals that are used to build tree-structures representing functions. A penalty function is used to prevent large correlations. The methodology is tested using first artificial data from a one-dimensional function and later a set of published heat exchanger experiments. Comparison with published results from the same data show that symbolic-regression correlations are as good or better. The effect of the penalty parameters on the “best function” is also analyzed.

Copyright © 2005 by ASME



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