Optimal geometry of L and C-shaped channels for maximum heat transfer rate in natural convection

被引:60
作者
da Silva, AK
Gosselin, L
机构
[1] Duke Univ, Dept Mech Engn & Mat Sci, Durham, NC 27708 USA
[2] Univ Laval, Dept Genet Mecan, Laval, PQ G1K 7P4, Canada
关键词
natural convection; maximum heat transfer rate; optimal spacing; vertical channel; trombe wall; L-shaped channels;
D O I
10.1016/j.ijheatmasstransfer.2004.08.028
中图分类号
O414.1 [热力学];
学科分类号
摘要
The present paper documents the geometric optimization of L and C-shaped channels in laminar natural convection subject to global constraints. The objective is to maximize the heat transfer rate from the hot wall to the coolant fluid. Three different configurations were considered: (i) an L-shaped asymmetric vertical heated channel with an adiabatic horizontal inlet, (ii) an asymmetric vertical heated channel with an adiabatic vertical outlet. and finally, (iii) a C-shaped vertical channel with horizontal inlet and outlet. The two first configurations are free to morph according to two degrees of freedom: the wall-to-wall spacing and inlet (or outlet) height. The third configuration is optimized with respect to the wall-to-wall spacing, and the heights of the inlet and outlet ports. The effect of the inlet or outlet horizontal adiabatic duct lengths is also investigated. The optimization is performed numerically by using the finite element technique, in the range 10(5) < Ra < 10(7) for Pr = 0.7, where Ra is the Rayleigh number based on a fixed total height H of the channel. The numerical results show that optimization is relevant, since the three degrees of freedom considered have a strong effect on the heat transfer delivered from the hot wall to the fluid. The optimal geometric characteristics obtained numerically (i.e., optimal spacing, optimal height and lengths) are reported and correlated within a 7.5% maximal disagreement range. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:609 / 620
页数:12
相关论文
共 28 条
[1]   FREE CONVECTIVE LAMINAR-FLOW WITHIN THE TROMBE WALL CHANNEL [J].
AKBARI, H ;
BORGERS, TR .
SOLAR ENERGY, 1979, 22 (02) :165-174
[2]   THERMO-CIRCULATION CHARACTERISTICS OF A TROMBE WALL PASSIVE TEST CELL [J].
AKBARZADEH, A ;
CHARTERS, WWS ;
LESSLIE, DA .
SOLAR ENERGY, 1982, 28 (06) :461-468
[3]   THE EFFECT OF PLATE SPACING ON FREE-CONVECTION BETWEEN HEATED PARALLEL PLATES [J].
ANAND, NK ;
KIM, SH ;
FLETCHER, LS .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1992, 114 (02) :515-518
[4]  
[Anonymous], COMPUTATIONAL HEAT T
[5]   Thermal design of symmetrically and asymmetrically heated channel-chimney systems in natural convection [J].
Auletta, A ;
Manca, O ;
Musto, M ;
Nardini, S .
APPLIED THERMAL ENGINEERING, 2003, 23 (05) :605-621
[6]   DEVELOPING LAMINAR FREE CONVECTION BETWEEN VERTICAL FLAT PLATES WITH ASYMMETRIC HEATING [J].
AUNG, W ;
SERNAS, V ;
FLETCHER, LS .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1972, 15 (11) :2293-&
[8]   THERMALLY OPTIMUM SPACING OF VERTICAL, NATURAL-CONVECTION COOLED, PARALLEL PLATES [J].
BARCOHEN, A ;
ROHSENOW, WM .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1984, 106 (01) :116-123
[10]  
BEJAN A, 2000, SHARPE STRUCTURE ENG