Mixed Convective Influence over the Geometrical Optimization of a Triangular Arrangement of Cylinders in Laminar Flows
DOI:
https://doi.org/10.14808/sci.plena.2015.081311Keywords:
Arrange of Cylinders, Geometrical Optimization, Mixed ConvectionAbstract
This numerical study is to evaluate the geometric shape of a triangular arrangement of cylinders subjected to transient flows, two-dimensional, incompressible, laminar and mixed convection by means of Constructal Design. The simulations were performed for Reynolds and Prandtl numbers, 100 and 0.71, respectively, evaluating three different numbers of Richardson: Ri = 0.1; 1.0; and 10.0. The mass conservation equations, momentum and energy were solved using the finite volume method (FVM - English: Finite Volume Method). The area occupied by the cylinder is a geometric constraint problem. The main objective is to evaluate the influence of Ri in the effect of the ratio ST/D (cross step on the diameter) on the drag coefficient (CD) and the Nusselt number (NuD) between the cylinders and the surrounding flow, and obtain the optimal geometry of the multi-objective problem. In all cases studied the ratio SL/D (on the longitudinal pitch diameter) was fixed SL/D = 1.5. It was estimated that the variation of the driving mechanism of the flow (caused by the variation of Richardson number) have affected the CD magnitudes and NuD.
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