Constructal optimization of twice Y-shaped assemblies of fins by taking maximum thermal resistance minimization as objective

Abstract

In this paper, constructal optimization of the twice Y-shaped assemblies of fins with six freedom degrees (characteristic parameters of geometry) is performed by employing finite element method and taking dimensionless maximum thermal resistance as a performance index, and the heat transfer performance of the twice Y-shaped assemblies of fins under various conditions with different freedom degrees are analyzed. The results show that the twice assemblies can improve the heat transfer performance of Y-shaped fin remarkably, and the minimum maximum thermal resistance of the twice Y-shaped assemblies of fins decreases by 36.37% compared with that of once Y-shaped assembly of fins. It is also proved again that the larger the number of freedom degrees for evolving is, the more perfect the system performance is. The effects of different characteristic parameters of geometry on the performance of the twice Y-shaped assemblies of fins are different, one should pay different attention to these parameters in practical engineering designs. The effects of two angles on the maximum thermal resistance are larger, but the optima of the two angles are robust. The effects of two height ratios on the maximum thermal resistance are more remarkable than those of two thickness ratios.constructal theory, fin, multi-scale, enhanced heat transfer, generalized thermodynamic optimization Citation:Xie Z H, Chen L G, Sun F R. Constructal optimization of twice Y-shaped assemblies of fins by taking maximum thermal resistance minimization as objective.

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“…Bejan, 2000;Bejan and Lorente, 2004;Reis, 2006;Bejan and Lorente, 2008;and Cetkin et al, 2010) and heat transfer (e.g. Bejan and Almogbel, 2000;Biserni et al, 2007;Xie et al, 2010;Lorenzini et al, 2014a;Lorenzini et al, 2014b;and Rodrigues et al, 2015) areas.…”

Constructal entransy dissipation rate and flow-resistance minimizations for cooling channels

“…Since Bejan [1] put forward the constructal theory in 1996, and applied it to optimization problem involving heat conduction [2] and fluid flow [3,4], the constructal theory has been developing radipidly [5][6][7][8][9][10][11][12][13][14][15][16] and has provided new research impetus into heat transfer optimization problems [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Bejan et al [3] expanded the tree-like network constructal method to a "volume-to-point" convective heat transfer optimization, and studied the optimal distribution of tree-like fluid channels.…”

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“…[50] optimized a few spine fins of different configurations with simultaneous heat and mass transfer geometrically, and the obtained results include those obtained in a dry spine case just only with heat transfer. Xie et al [51] optimized second-order assembly of Y-shaped fins with maximum thermal resistance minimization. Results showed that the second-order assembly could decrease the maximum thermal resistance of Y-shaped fin.…”