Numerical Study of an triangular arrangement of cylinders submitted to forced convective laminar flow

Authors

  • Suelem Grellert da Fonseca Programa de Pós-Graduação em Modelagem Computacional, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.
  • Felipe Rodrigues Cardoso Escola de Engenharia, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.
  • Andre Luiz Razera Escola de Engenharia, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.
  • Liércio André Isoldi Escola de Engenharia, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.
  • Anderson Favero Porte Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul, 96201-460, Rio Grande - RS, Brasil.
  • Luiz Alberto Oliveira Rocha Departamento de Engenharia Mecânica, Universidade Federal do Rio Grande do Sul (UFRGS), 90050-170, Porto Alegre – RS, Brasil.
  • Elizaldo Domingues dos Santos Universidade Federal do Rio Grande, Escola de Engenharia.
  • Marcelo Moraes Galarça Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul, 96201-460, Rio Grande - RS, Brasil.

DOI:

https://doi.org/10.14808/sci.plena.2015.081324

Keywords:

geometrical optimization, drag coefficient, Nusselt number, Constructal Design

Abstract

The present work studies the convection heat transfer by forced convection through a triangular arrangement for three cylinders considering a laminar, two dimensional, incompressible and unsteady flow. Regarding to the numerical solution for the main equations, the solution is ran by using a computational code based on the FVM (Finite Volume Method). The Constructal Design method is applied to optimize the geometry arranged for the three cylinders. Simulations were run for flows with Reynolds and Prandtl numbers of 100 and 0.71, respectively. The optimization considers which ratio ST/D (transversal step over diameter) and SL/D (longitudinal step over diameter) minimize the drag coefficient and maximize the heat transfer rate (from Nusselt number) between the cylinders and the surrounding cross flow. Results showed that the fluid dynamics and thermal behavior were heavily influenced by the ratios ST/D and SL/D. The minimum drag coefficient (Cd) was found for the configuration SL/D = 5.0 and ST/D = 1.5, while the maximum Nusselt number (NuD) lies over the SL/D = 1.5 and ST/D = 5.5 ratios. However, the best arrangements considering the multi-objective function (drag and heat transfer) were achieved into an optimal region and not for a specific configuration. Among the analyzed cases, can be highlighted the SL/D = 5.0 - ST/D = 2.0; and SL/D = 5.0 - ST/D = 2.5 configurations. The first two values presented benefits for the fluid dynamic problem and the last ones showed a slight advantage for the thermal process.

Author Biographies

Suelem Grellert da Fonseca, Programa de Pós-Graduação em Modelagem Computacional, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.

http://lattes.cnpq.br/8971169380833105

Andre Luiz Razera, Escola de Engenharia, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.

http://lattes.cnpq.br/0571586286882262

Liércio André Isoldi, Escola de Engenharia, Universidade Federal do Rio Grande (FURG), 96201-900, Rio Grande - RS, Brasil.

http://lattes.cnpq.br/3761060945802171

Anderson Favero Porte, Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul, 96201-460, Rio Grande - RS, Brasil.

http://lattes.cnpq.br/5624980029493788

Luiz Alberto Oliveira Rocha, Departamento de Engenharia Mecânica, Universidade Federal do Rio Grande do Sul (UFRGS), 90050-170, Porto Alegre – RS, Brasil.

http://lattes.cnpq.br/2535324018884724

Elizaldo Domingues dos Santos, Universidade Federal do Rio Grande, Escola de Engenharia.

http://lattes.cnpq.br/6854950768271660

Marcelo Moraes Galarça, Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul, 96201-460, Rio Grande - RS, Brasil.

http://lattes.cnpq.br/1660157566796755

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Published

2015-08-31

How to Cite

da Fonseca, S. G., Cardoso, F. R., Razera, A. L., Isoldi, L. A., Porte, A. F., Rocha, L. A. O., … Galarça, M. M. (2015). Numerical Study of an triangular arrangement of cylinders submitted to forced convective laminar flow. Scientia Plena, 11(8). https://doi.org/10.14808/sci.plena.2015.081324

Issue

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

Section

VI Conferência Sul em Modelagem Computacional

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