Compared to a smooth channel, a finned-channel provides higher heat transfer coefficient and increasing the fin height enhances the heat transfer. However, this heat transfer enhancement is associated with an increase in the pressure drop. This leads to an increased pumping power requirement so that one may seek an optimum design for such systems. The main goal of this paper is to define the exact location and size of fins in such a way that a minimal pressure drop coincides with an optimal heat transfer based on the genetic algorithm. Each arrangement of fins is considered as a solution of the problem (an individual for genetic algorithm). An initial population is generated randomly at the first step. Then the algorithm has searched among these solutions and made new solutions iteratively by its functions to find an optimum design as reported in this article.
 Wang G, Stone K, and Vanka SP (1996). Unsteady heat transfer in baffled channels. ASME Journal of Heat Transfer 118, pp. 585.  Patankar SV, Liu CH, and Sparrow EM (1997). Fully developed flow and heat transfer in ducts having streamwise-periodic variations of cross-sectional area. ASME Journal of Heat Transfer 99, pp. 180.  Bemer C, Durst F, and McEligot DM (1984). Flow around baffles. ASME Journal of Heat Transfer 106, pp. 743.  Webb GW, and Ramadhyani S (1985). Conjugate heat transfer in a channel with staggered ribs. International Journal of Heat Mass Transfer 28, pp. 1679.  Patankar SV, and Kelkar KM (1987). Numerical prediction of flow and heat transfer in a parallel plane channel with staggered fins. ASME Journal of Heat Transfer 109, pp. 25.  Cheng CH, and Huang WH (1991). Numerical prediction for laminar forced convection in parallel-plate channels with transverse fin arrays. International Journal of Heat Mass Transfer 34, pp. 2739.  Guo Z, and Anand NK (1997). Three dimensional heat transfer in a channel with a baffle in the entrance region. Numerical Heat Transfer A31, pp. 21.  Habib MA, Mobarak AM, Sallak MA, Abdelhadi EA, and Affify RI (1994). Experimental investigation of heat transfer and flow over baffles of different heights. ASME Journal of Heat Transfer 116, pp. 363.  Bazdid-Tehrani F, and Naderi-Abadi M (2004). Numerical analysis of laminar heat transfer in entrance region of a horizontal channel with transverse fins. International Comm. Heat Mass Transfer 31, pp. 211.  Yang Y, and Hwang C (2003). Calculation of turbulent flow and heat transfer in a porous-baffled channel. International Journal of Heat Mass Transfer 46, pp. 771.  Bejan A, and Pfister PA (1980). Evaluation of heat transfer augmentation techniques based on their impact on entropy generation. Letters Heat Mass Transfer 7, pp. 97.  Ayhan T, Karlik B, and Tandiroglu A (2004). Flow geometry optimization of channels with baffles using neural networks and second law of thermodynamics. Computational Mechanics 33, pp. 139.  Bejan A, and Morega AM (1993). Optimal arrays of pin fins and plate fins in laminar forced-convection. AMSE Journal of Heat Transfer 115, pp. 75.  Abu-Nada E (2005). Numerical prediction of entropy generation in separated flows, Entropy 7, pp. 234  Al-Sarkhi A (2005). Comparison between variable and constant height shrouded fin array subjected to forced convection heat transfer. International Comm. Heat Mass Transfer 32, pp. 548.  Rakshit D, and Balaji C (1992). Thermodynamic optimization of conjugate convection from a finned channel using genetic algorithms. Heat Mass Transfer 41, pp. 535.  Knight RW, Goodling JS, and Gross BE (1992). Optimal thermal design of air cooled forced-convection finned heat sinks: experimental verification. IEEE Trans. Comp. Hybrids Manufacturing Tech 5, pp. 754.  Campo A (2000). Heat removal of in-tube viscous flows to air with the assistance of arrays of plate fins Part I: theoretical aspects involving 3-D, 2-D and 1-D models. International Journal of Numerical Methods Heat Fluid Flow 10, pp. 334.  Campo A, and Rodriguez F (1998). Approximate analytic temperature solution for uniform annular fins by adapting the power series method. International Comm. Heat Mass Transfer 25, pp. 809.  Santos NB, and de Lemos MJS (2006). Flow and heat transfer in a parallel-plate channel with porous and solid baffles. Numerical Heat Transfer A 49, pp. 471.  Blazej Z. Finding the winning strategy for a poker playing program an application of genetic algorithm in a poker game. http://ib-poland.virtulave.net/ee/genetic1/3_genetic_ algorithm.htm.  Holland JH (1992). Genetic Algorithms, Scientific American.  Mousavi SS, and Hooman K (2006). Heat and fluid flow in entrance region of a channel with staggered baffles. Energy Conversion and Management 47, pp. 2011.
This is an author version of an article originally published as S. S. Mousavi, K. Hooman and S. J. Mousavi (2007) Genetic algorithm optimization for finned channel performance, Applied Mathematics and Mechanics 28 (12) : 1597-1604. doi: 10.1007/s10483-007-1206-z Copyright 2007 Springer Netherlands Ltd. All rights reserved. The original publication is available online from www.springerlink.com