The heat transfer optimization of conical fin by shape modification

doi:10.1016/j.cjche.2016.05.010

Abstract

Abstract: In present work, a stepping optimization algorithm is proposed for the geometric optimization of conical fin, and the heat transfer rate of the fin is treated as the objective function in the optimization algorithm. The conical fin is divided into finite elements which have different generatrix slopes, and the geometry of the conical fin is finally determined by ensuring that every divided element can maintain the maximum heat transfer rate. Based on the actual condition of every element of the fin, the heat conduction equation is solved step by step. The present result shows that the optimized conical fin has more heat transfer quantity and higher fin efficiency compared with those of some typical fins. Furthermore, the theoretical feasibility and the error analysis of present optimization algorithm have been performed as well.

Key words: Fin, Optimization, Heat transfer, Stepping optimization algorithm

摘要： In present work, a stepping optimization algorithm is proposed for the geometric optimization of conical fin, and the heat transfer rate of the fin is treated as the objective function in the optimization algorithm. The conical fin is divided into finite elements which have different generatrix slopes, and the geometry of the conical fin is finally determined by ensuring that every divided element can maintain the maximum heat transfer rate. Based on the actual condition of every element of the fin, the heat conduction equation is solved step by step. The present result shows that the optimized conical fin has more heat transfer quantity and higher fin efficiency compared with those of some typical fins. Furthermore, the theoretical feasibility and the error analysis of present optimization algorithm have been performed as well.

关键词: Fin, Optimization, Heat transfer, Stepping optimization algorithm

Jiansheng Wang, Xiao Wang. The heat transfer optimization of conical fin by shape modification[J]. , 2016, 24(8): 972-978.

References

[1] F. Hajabdollahi, H.H. Rafsanjani, Z. Hajabdollahi, Y. Hamidi, Multi-objective optimization of pin fin to determine the optimal fin geometry using genetic algorithm, Appl. Math. Model. 36(1) (2012) 244-254.
[2] B. Adrian, M. Almogbel, Constructal T-shaped fins, Int. J. Heat Mass Transf. 43(2000) 2101-2115.
[3] B. Kundu, P.K. Das, Performance and optimum design analysis of convective fin arrays attached to flat and curved primary surfaces, Int. J. Refrig. 32(3) (2009) 430-443.
[4] G. Lorenzini, L.A.O. Rocha, Constructal design of T-Y assembly of fins for an optimized heat removal, Int. J. Heat Mass Transf. 52(5-6) (2009) 1458-1463.
[5] B. Kundu, D. Bhanja, Performance and optimization analysis of a constructal Tshaped fin subject to variable thermal conductivity and convective heat transfer coefficient, Int. J. Heat Mass Transf. 53(1-3) (2010) 254-267.
[6] X. Zhang, D. Liu, Optimum geometric arrangement of vertical rectangular fin arrays in natural convection, Energy Convers. Manag. 51(12) (2010) 2449-2456.
[7] B. Kundu, D. Barman, An analytical prediction for performance and optimization of an annular fin assembly of trapezoidal profile under dehumidifying conditions, Energy 36(5) (2011) 2572-2588.
[8] B. Kundu, K.S. Lee, Optimum configurations of vertical fins under condensation of saturated vapor, Int. J. Refrig. 34(4) (2011) 1048-1056.
[9] Y. Feng, Y.X. Li, Analysis simulation and optimization design of annular fins, Refrigeration 38(1) (2009) 53-55.
[10] N. Nagarani, K. Mayilsamy, A. Murugesan, Fin effectiveness optimization of elliptical annular fins by genetic algorithm, Procedia Eng. 38(2012) 2939-2948.
[11] D. Copiello, G. Fabbri, Multi-objective genetic optimization of the heat transfer from longitudinal wavy fins, Int. J. Heat Mass Transf. 52(5-6) (2009) 1167-1176.
[12] H. Azarkish, S.M.H. Sarvari, A. Behzadmehr, Optimum design of a longitudinal fin array with convection and radiation heat transfer using a genetic algorithm, Int. J. Therm. Sci. 49(11) (2010) 2222-2229.
[13] H. Azarkish, S.M.H. Sarvari, A. Behzadmehr, Optimum geometry design of a longitudinal fin with volumetric heat generation under the influences of natural convection and radiation, Energy Convers. Manag. 51(10) (2010) 1938-1946.
[14] Y. Wang, Y.L. He, D.H. Mei, W.Q. Tao, Optimization design of slotted fin by numerical simulation coupled with genetic algorithm, Appl. Energy 88(12) (2011) 4441-4450.
[15] R. Das, Application of genetic algorithm for unknown parameter estimations in cylindrical fin, Appl. Soft Comput. 12(11) (2012) 3369-3378.
[16] Z. Iqbal, K.S. Syed, M. Ishaq, Optimal fin shape in finned double pipe with fully developed laminar flow, Appl. Therm. Eng. 51(1-2) (2013) 1202-1223.
[17] M.A. Moon, K.Y. Kim, Analysis and optimization of fan-shaped pin-fin in a rectangular cooling channel, Int. J. Heat Mass Transf. 72(2014) 148-162.
[18] K. Ryu, S.J. Yook, K.S. Lee, Optimal design of a corrugated louvered fin, Appl. Therm. Eng. 68(1-2) (2014) 76-79.
[19] J.H. Lienhard IV, J.H. Lienhard V, A heat transfer textbook, third ed. Phlogiston Press, Cambridge, 2008165-166.
[20] A. Yunus, Cengel-heat transfer-A practical approach, second ed. McGraw-Hill, New York, 2006165-166.
[21] S.M. Homayouni, S.H. Tang, O. Motlagh, A genetic algorithm for optimization of integrated scheduling of cranes, vehicles, and storage platforms at automated container terminals, J. Comput. Appl. Math. 270(2014) 545-556.
[22] O.A. Arqub, Z.A. Hammour, Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm, Inf. Sci. 279(2014) 396-415.