Improvement and Validation of Genetic Programming Symbolic Regression Technique of Silva and Applications in Deriving Heat Transfer Correlations

REFERENCES

• Pacheco-Vega, A., Díaz, G., Sen, M., Yang, K.T., and McClain, R.L., Heat Rate Predictions in Humid Air–Water Heat Exchangers Using Correlations and Neural Networks, ASME Journal of Heat Transfer, vol. 123, no. 2, pp. 348–354, 2001.
   Web of Science ®Google Scholar
• Wang, Q.W., Zeng, M., Ma, T., Du, X.P., and Yang, J.F., Recent Development and Application of Several High-Efficiency Surface Heat Exchangers for Energy Conversion and Utilization, Applied Energy, vol. 135, pp. 748–777, 2014.
   Web of Science ®Google Scholar
• Cengel, Y.A., and Ghajar, A.J., Heat and Mass Transfer: Fundamentals & Applications, 5th ed., McGraw-Hill, New York, NY, 2015.
   Google Scholar
• Pacheco-Vega, A., Sen, M., and Yang, K.T., Simultaneous Determination of In- and Over-Tube Heat Transfer Correlations in Heat Exchangers by Global Regression, International Journal of Heat and Mass Transfer, vol. 46, pp. 1029–1040, 2003.
   Web of Science ®Google Scholar
• Incropera, F.P., Lavine, A.S., and DeWitt, D.P., Fundamentals of Heat and Mass Transfer, John Wiley & Sons, New York, NY, 2011.
   Google Scholar
• Koza, J.R., Genetic Programming: On the Programming of Computers by Means of Natural Selection, MIT Press, Cambridge, MA, 1992.
   Google Scholar
• Liu, Y., Yang, J., Xu, J., Cheng, Z.L., and Wang, Q.W., Integration of Genetic Programming With Genetic Algorithm (GPA) for Correlating Heat Transfer Problems, ASME Journal of Heat Transfer, vol. 137, no. 6, 061012 (8 pages), 2015.
   Web of Science ®Google Scholar
• Wilson, G.C., McIntyre, A., and Heywood, M.I., Resource Review: Three Open Source Systems for Evolving Programs—lilgp, ECJ and Grammatical Evolution, Genetic Programming and Evolvable Machines, vol. 5, no. 1, pp. 103–105, 2004.
   Google Scholar
• Andre, D., and Teller, A., A Study in Program Response and the Negative Effects of Introns in Genetic Programming, Proceedings of the First Annual Conference on Genetic Programming, MIT Press, Cambridge, MA, pp. 12–20, 1996.
   Google Scholar
• Langdon, W.B., Size Fair and Homologous Tree Crossovers for Tree Genetic Programming, Genetic Programming and Evolvable Machines, vol. 1, no. 1–2, pp. 95–119, 2000.
   Google Scholar
• MacCallum, R.M., Introducing a Perl Genetic Programming System—And Can Meta-Evolution Solve the Bloat Problem, Genetic Programming, Springer, Berlin Heidelberg, pp. 364–373, 2003.
   Google Scholar
• Silva, S., GPLAB— A Genetic Programming Toolbox for MATLAB, Version 3.0 (2007), University of Coimbra, Coimbra, Portugal, 2009.
   Google Scholar
• Cai, W., Pacheco-Vega, A., Sen, M., and Yang, K.T., Heat Transfer Correlations by Symbolic Regression, International Journal of Heat and Mass Transfer, vol. 49, no. 23, pp. 4352–4359, 2006.
   Web of Science ®Google Scholar
• Lee, D.G., Kim, H.G., Baek, W.P., and Soon, H.C., Critical Heat Flux Prediction Using Genetic Programming for Water Flow in Vertical Round Tubes, International Communications in Heat and Mass Transfer, vol. 24, no. 7, pp. 919–929, 1997.
   Web of Science ®Google Scholar
• Zdaniuk, G.J., Luck, R., and Chamra, L.M., Linear Correlation of Heat Transfer and friction in Helically-Finned Tubes Using Five Simple Groups of Parameters, International Journal of Heat and Mass Transfer, vol. 51, no. 13, pp. 3548–3555, 2008.
   Web of Science ®Google Scholar
• Pacheco-Vega, A., Cai, W., Sen, M., and Yang, K.T., Heat Transfer Correlations in an Air–Water Fin-Tube Compact Heat Exchanger by Symbolic Regression, ASME 2003 International Mechanical Engineering Congress and Exposition, pp. 23–28, 2003.
   Google Scholar
• Fernandez-Ramirez, C., de Guerra, E.M., Udias, A., and Udias, J.M., Properties of Nucleon Resonances by Means of a Genetic Algorithm, Physical Review C, vol. 77, no. 6, p. 065212, 2008.
   Web of Science ®Google Scholar
• Silva, S., and Costa, E., Dynamic Limits for Bloat Control in Genetic Programming and a Review of Past and Current Bloat Theories, Genetic Programming and Evolvable Machines, vol. 10, no. 2, pp. 141–179, 2009.
   Web of Science ®Google Scholar
• Luke, S., and Panait, L., A Comparison of Bloat Control Methods for Genetic Programming, Evolutionary Computation, vol. 14, no. 3, 309–344, 2006.
   PubMed Web of Science ®Google Scholar
• Xia, Y., Tian, S.P., Wei, H.Y., and Wang, Z.W., Research on Symbolic Regression Based on Genetic Programming, Journal of China Jiliang University, vol. 17, no. 2, pp. 128–131, 2006 (in Chinese).
   Google Scholar
• Zhang, M.J., and Wong, P., Genetic Programming for Medical Classification: A Program Simplification Approach, Genetic Programming and Evolvable Machines, vol. 9, no. 3, pp. 229–255, 2008.
   Web of Science ®Google Scholar
• Nelder, J.A., and Mead, R., A Simplex Method for Function Minimization,Computer Journal, vol. 7, no. 4, pp. 308–313, 1965.
   Web of Science ®Google Scholar
• Wang, Q.W., Chen, G.D., Chen, Q.Y., and Zeng, M., Review of Improvements on Shell-and-Tube Heat Exchangers With Helical Baffles, Heat Transfer Engineering, vol. 31, no. 10, pp. 836–853, 2010.
   Web of Science ®Google Scholar
• Wang, Q.W., Chen, G.D., Xu, J., and Ji, Y.P., Second-Law Thermodynamic Comparison and Maximal Velocity Ratio Design of Shell-and-Tube Heat Exchangers With Continuous Helical Baffles, ASME Journal of Heat Transfer, vol. 132, no. 10, p. 10180, 2010.
   Web of Science ®Google Scholar
• Wang, Q.W., Chen, Q.Y., Chen, G.D., and Zeng, M., Numerical Investigation on Combined Multiple Shell-Pass Shell-and-Tube Heat Exchanger With Continuous Helical Baffles, International Journal of Heat and Mass Transfer, vol. 52, no. 5, pp. 1214–1222, 2009.
   Web of Science ®Google Scholar
• Wang, Q.W., Xie, G.N., Peng, B.T., and Zeng, M., 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, ASME Journal of Heat Transfer, vol. 129, no. 9, pp. 1277–1285, 2007.
   Web of Science ®Google Scholar
• Peng, B.T., Wang, Q.W., Zhang, C., Xie, G.N., Luo, L.Q., Chen, Q.Y., and Zeng, M., An Experimental Study of Shell-and-Tube Heat Exchangers With Continuous Helical Baffles, ASME Journal of Heat Transfer, vol. 129, no. 10, pp. 1425–1431, 2007.
   Web of Science ®Google Scholar
• Xie, G.N., Wang, Q.W. , Zeng, M., and Luo, L.Q. , Heat Transfer Analysis for Shell-and-Tube Heat Exchangers With Experimental Data by Artificial Neural Networks Approach, Applied Thermal Engineering, vol. 27, no. 5, pp. 1096–1104, 2007.
   Web of Science ®Google Scholar
• Chen, G.D., Zeng, M., and Wang, Q.W., Experimental and Numerical Studies on Shell-Side Performance of Three Different Shell-and-Tube Heat Exchangers With Helical Baffles, Journal of Enhanced Heat Transfer, vol. 18, no. 5, pp. 449–463, 2011.
   Web of Science ®Google Scholar
• Yang, J.F., Zeng, M., and Wang, Q.W., Effects of Sealing Strips on Shell-Side Flow and Heat Transfer Performance of a Heat Exchanger With Helical Baffles, Applied Thermal Engineering, vol. 64, no. 1, pp. 117–128, 2014.
   Web of Science ®Google Scholar
• Moffat, R.J., Describing the Uncertainties in Experimental Results, Experimental Thermal and Fluid Science, vol. 1, no. 1, pp. 3–17, 1988.
   Web of Science ®Google Scholar
• Huisseune, H., T’Joen, C., Brodeoux, P., Debaets, S., and De Paepe, M., Thermal Hydraulic Study of a Single Row Heat Exchanger With Helically Finned Tubes, ASME Journal of Heat Transfer, vol. 132, no. 6, p. 061801, 2010.
   Web of Science ®Google Scholar
• T’Joen, C., Steeman, H.J., Willockx, A., and De Paepe, M., Determination of Heat Transfer and Friction Characteristics of an Adapted Inclined Louvered Fin, Experimental Thermal and Fluid Science, vol. 30, no. 4, pp. 319–327, 2006.
   Web of Science ®Google Scholar
• T’Joen, C., Willockx, A., Steeman, H.J., and De Paepe, M., Performance Prediction of Compact Fin-and-Tube Heat Exchangers in Maldistributed Airflow, Heat Transfer Engineering, vol. 28, no. 12, pp. 986–996, 2007.
   Web of Science ®Google Scholar