Constructal Design of triangular arrangements of square bluff bodies under forced convective turbulent flows

Present numerical work consists on geometric evaluation of turbulent, transient, two-dimensional, incompressible and forced convective flows over triangular arrangements of square bluff bodies of size D employing Constructal Design. The main purpose is to evaluate the influence of the geometry of the arrangement over drag coefficient (CD) and Nusselt number (NuD), i.e., multiobjective problem. It is also investigated the influence of array configuration over fluid dynamic and thermal behavior of the flow. The problem has two constraints: cross-sectional area of bodies (3D2) and occupation area of the array (6D × 6D) and two degrees of freedom: SL/D and ST/D (ratios between longitudinal and transversal pitchs and size of the bodies). For all simulations, Reynolds and Prandtl numbers are constant (ReD = 22,000 and Pr = 0.71). Time-averaged conservation equations of mass, momentum and energy are solved with Finite Volumes Method. Closure of turbulence is solved with RANS SST - κ-ω modeling. Results showed a strong influence of design over fluid dynamic and thermal performance of the problem, as well as, multiplicity of scales and patterns of turbulent flows. Moreover, the optimal multi-objective configuration was the same reached for fluid dynamic purpose, showing the dominance of this purpose in the present investigation.