Influence of mixed convection laminar flows on the geometrical evaluation of a triangular arrangement of circular cylinders. (November 2017)

• Record Type: Journal Article
• Authors: Barros, G.M.; Lorenzini, G.; Isoldi, L.A.; Rocha, L.A.O.; dos Santos, E.D.
• Is Part Of: International journal of heat and mass transfer. Volume 114(2017)
• Page Start: 1188
• Page End: 1200
• Publication Date: 2017-11
• Subjects: Geometric evaluation -- Cylinder arrangement -- Constructal design -- External flows -- Mixed convective; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2017.07.010
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Mixed convective laminar flow over triangular arrangement of cylinder was studied. Triangular geometry arrangement of cylinders was evaluated with Constructal Design. The main purposes were to maximize Nusselt number and to minimize drag coefficient. Effect of Richardson number over performance and optimal shapes were investigated. Richardson number had strong effect over arrangement performance and optimal shapes. Abstract: The present numerical study performs a geometrical evaluation of a triangular arrangement of circular cylinders subjected to transient, two-dimensional, incompressible, laminar, and aiding mixed convective flows by means of Constructal Design. It is investigated a multiobjective problem: maximize Nusselt number ( NuD ) and minimize drag coefficient ( CD ). In order to investigate the influence of buoyancy forces over design of the arrangement of cylinders five different Grashof numbers ( GrD ) are studied leading to different Richardson numbers: Ri = GrD / ReD 2 = 0.1, 0.5, 1.0, 5.0 and 10.0. For all simulations, constant Reynolds and Prandtl numbers ( ReD = 100 and Pr = 0.71) are considered. For geometric evaluation, the problem is subjected to two constraints (cross-sectional area of three cylinders and an occupation area for the arrangement) and two degrees of freedom (the ratio between the longitudinal pitch and cylinder diameter ( SL / D ) and ratio between the transversal pitch and cylinder diameter ( ST / D )). In numerical simulations, the conservation equations of mass, momentum and energy are solved using Finite Volume Method (FVM). Results showed that buoyancy forces in mixed convective flows have strong influence over design of the studied cylinders arrangement. For instance, the effects of ST / D and SL / D over CD and NuD changed significantly for different Ri evaluated. Concerning the multiobjective evaluation, for Ri = 0.1 (forced convective flows) intermediate ratios of ST / D and SL / D, different from that achieved for the isolated purposes, conducted to the best multiobjetive performance, while for Ri = 10.0 (natural convective flows) the best shape is the same reached for the thermal objective, i.e., the multiobjective analysis for natural convective flow was guided by thermal purpose.