A Comparative Study of Simulated Annealing with different Cooling Schedules for Geometric Optimization of a Heat Transfer Problem According to Constructal Design

Authors

  • Gill Velleda Gonzales Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.
  • Elizaldo Domingues dos Santos Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.
  • Leonardo Ramos Emmendorfer Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.
  • Liércio André Isoldi Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.
  • Luiz Alberto Oliveira Rocha Department of Mechanical Engineering (DEMEC), Universidade Federal do Rio Grande do Sul (UFRGS), 90050-170, Porto Alegre, Brasil.
  • Emanuel da Silva Diaz Estrada Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.

DOI:

https://doi.org/10.14808/sci.plena.2015.081321

Keywords:

Constructal Design, Simulated Annealing, Geometric Optimization, Heat Transfer, Cooling Schedule.

Abstract

The Simulated Annealing is a widely used metaheuristic to combinatorial and optimization problems studied since 1983, when it was first proposed. This algorithm has a particular parameter, the cooling schedule (specifically the decrease of temperature) which is still defined for each problem empirically. This study has the aim to find the best cooling schedule(s) for geometric optimization of a heat transfer problem. More specifically it is performed the geometrical evaluation of an isothermal Y-shaped cavity intruded into conducting solid wall with internal heat generation. In this research, Constructal Design is employed to determine the constraints and objectives for geometric evaluation of this problem. The cooling schedule(s) recommended here will contribute for future applications of Simulated Annealing heuristic in association with Constructal Design to seek for the optimal shapes of complex geometries in heat transfer problems, as well as, evaluate the influence of geometric parameters over thermal performance of the problem. Six different methods of decrease of temperature are evaluated in twenty samples of thirty simulations for each cooling schedule. From these simulations, it was extracted the percentage of convergence to the global optimal point. Results showed that the Fast cooling schedule led to the worst performance in the seek for the global optimal shapes, while the three hybrid cooling schedules proposed here are the most recommended to find the optimal geometrical configurations in heat transfer problems in association with Constructal Design (BoltzExp, ConstExp1 and ConstExp2)

Author Biographies

Gill Velleda Gonzales, Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.

http://lattes.cnpq.br/1247336516655394

Elizaldo Domingues dos Santos, Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.

http://lattes.cnpq.br/6854950768271660

Leonardo Ramos Emmendorfer, Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.

http://lattes.cnpq.br/1129100746134234

Liércio André Isoldi, Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.

http://lattes.cnpq.br/3761060945802171

Luiz Alberto Oliveira Rocha, Department of Mechanical Engineering (DEMEC), Universidade Federal do Rio Grande do Sul (UFRGS), 90050-170, Porto Alegre, Brasil.

http://lattes.cnpq.br/2535324018884724

Emanuel da Silva Diaz Estrada, Programa de Pós-Graduação em Modelagem Computacional (PPGMC), Universidade Federal do Rio Grande (FURG),96021-900, Rio Grande, Brasil.

http://lattes.cnpq.br/3463902649683230

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Published

2015-08-31

How to Cite

Velleda Gonzales, G., Domingues dos Santos, E., Ramos Emmendorfer, L., André Isoldi, L., Oliveira Rocha, L. A., & da Silva Diaz Estrada, E. (2015). A Comparative Study of Simulated Annealing with different Cooling Schedules for Geometric Optimization of a Heat Transfer Problem According to Constructal Design. Scientia Plena, 11(8). https://doi.org/10.14808/sci.plena.2015.081321

Issue

Vol. 11 No. 8 (2015): August/Agosto 2015

Section

VI Conferência Sul em Modelagem Computacional

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