Optimal geometric arrangement of staggered plates in forced convection

Abstract This paper reports the results of an experimental and numerical study of the optimal geometric arrangement of staggered parallel plates in a fixed volume with forced convection heat transfer. The objective of the geometric optimization effort is to maximize the total heat transfer rate between the given volume and the given external flow, when the maximum temperature at a point inside the volume cannot exceed a certain level. The geometric arrangement was varied systematically, by changing the spacing between plates, the number of plates installed in one row, the plate swept length, and the degree to which the plates are staggered. In the first part of the study, it is demonstrated experimentally that there exists an optimal spacing between two adjacent row of plates. Experimental results are reported for air in the range 1000 ⩽ ReL ⩽ 6000, where L is the swept length of the fixed volume. In the second part of the study, extensive numerical results support and extend these findings to 100 ⩽ ReL ⩽10000. In addition, it is shown that there is an optimal way to stagger the plates. In the concluding part of the paper, the optimal spacing and maximum heat transfer rate results are correlated based on the theoretical method of intersecting the two asymptotes (small spacing, large spacing) of the geometric arrangement.

[1]  K. G. McConnell,et al.  Instrumentation for engineering measurements , 1984 .

[2]  Adrian Bejan,et al.  The Optimal Spacing for Cylinders in Crossflow Forced Convection , 1995 .

[3]  G. Guglielmini,et al.  Natural convection and radiation heat transfer from staggered vertical fins , 1987 .

[4]  S. Kakaç,et al.  Heat Exchangers: Thermal Hydraulic Fundamentals and Design , 1985 .

[5]  A. Bejan,et al.  The optimal spacing of a stack of plates cooled by turbulent forced convection , 1994 .

[6]  Alexandru M. Morega,et al.  Free stream cooling of a stack of parallel plates , 1995 .

[7]  S. J. Kline,et al.  Describing Uncertainties in Single-Sample Experiments , 1953 .

[8]  Robert J. Moffat,et al.  Describing the Uncertainties in Experimental Results , 1988 .

[9]  A. Bejan,et al.  The optimal spacing of cylinders in free-stream cross-flow forced convection , 1996 .

[10]  Enrico Sciubba,et al.  The optimal cooling of a stack of heat generating boards with fixed pressure drop, flowrate or pumping power , 1993 .

[11]  A. Bejan,et al.  The optimal spacing of parallel plates cooled by forced convection , 1992 .

[12]  W. Rohsenow,et al.  Thermally Optimum Spacing of Vertical, Natural Convection Cooled, Parallel Plates , 1984 .

[13]  K. Vafai,et al.  Optimization analysis of a disk-shaped heat pipe , 1996 .

[14]  W. Rohsenow,et al.  Handbook of heat transfer applications , 1985 .

[15]  Adrian Bejan,et al.  The optimal spacing between horizontal cylinders in a fixed volume cooled by natural convection , 1995 .

[16]  Leroy S. Fletcher,et al.  Free Convection Between Series of Vertical Parallel Plates With Embedded Line Heat Sources , 1991 .

[17]  Leroy S. Fletcher,et al.  The Effect of Plate Spacing on Free Convection Between Heated Parallel Plates , 1992 .

[18]  Adrian Bejan,et al.  OPTIMAL SPACING OF PARALLEL BOARDS WITH DISCRETE HEAT SOURCES COOLED BY LAMINAR FORCED CONVECTION , 1994 .

[19]  A. London,et al.  Compact heat exchangers , 1960 .

[20]  Adrian Bejan,et al.  Forced convection in banks of inclined cylinders at low Reynolds numbers , 1994 .

[21]  A. Bejan.  Convection Heat Transfer , 1984 .

[22]  Clifford J. Cremers,et al.  Flow Visualization II , 1983 .

[23]  G. Tanda.  Natural Convection Heat Transfer From a Staggered Vertical Plate Array , 1993 .

[24]  G. P. Peterson,et al.  Thermal Control of Electronic Equipment and Devices , 1990 .