Abstract

An experimental study on air natural convection on an inclined discretely heated plate with a parallel shroud below was carried out. Three heated strips were located in different positions on the upper wall. The distance between the walls, b, was changed in the range 7.0–40.0 mm and two values of the heat flux dissipated by the heaters were taken into account. Several inclination angles between the vertical and the horizontal were tested. The wall temperature distribution as a function of the channel spacing and the inclination angle, the source heat flux, the number and the arrangement of the heat sources are presented. The analysis shows that, for angles not greater than 85 deg, increasing the distance between walls does not reduce the wall temperatures, whereas at greater tilting angles (>85 deg) there is an opposite tendency. This is confirmed by flow visualization at angles equal to 85 deg and 90 deg and b=20.0 and 32.3 mm. Dimensionless maximum wall temperatures are correlated to the process parameters in the ranges 1.2s˙104Ralcosθ8.6s˙105; 0 deg⩽θ⩽88 deg; 0.48l/b1.6 and 10L/b32.6 with 1.0d/l3.0; the agreement with experimental data is good. The spacing which yields the best thermal performance of the channel is given. Local Nusselt numbers are evaluated and correlated to the local Rayleigh numbers and the tilting angles in the ranges 20Rax8.0s˙105 and 0 deg⩽θ⩽88 deg. The exponent of monomial correlations between local Nusselt and Rayleigh numbers are in the 0.23–0.26 range. Comparisons with data from the literature, in terms of Nusselt number, exhibited minor discrepancies, mainly because of some difference in test conditions and of heat conduction in the channel walls.

1.
Raithby, G. D., and Hollands, K. G. T., 1985, Handbook of Heat Transfer, W. M. Roshenow, J. P. Hartnett, and E. N. Ganic, eds., McGraw-Hill, New York, pp. 6.1–6.93.
2.
Gebhart, B., Jaluria, Y., Mahajan, R., and Sammakia, B., 1988, Buoyancy-Induced Flows and Transport, Hemisphere, Washington D.C.
3.
Peterson, G. P., and Ortega, A., 1990, Thermal Control of Electronic Equipment and Devices in Heat Transfer, 20, Academic Press, pp. 181–314.
4.
Yeh
,
L. T.
,
1995
, “
Review of Heat Transfer in Electronic Equipment
,”
ASME J. Electron. Packag.
,
117
, pp.
333
339
.
5.
Choi
,
C. Y.
, and
Ortega
,
A.
,
1993
, “
Mixed Convection in an Inclined Channel with a Discrete Heat Source
,”
Int. J. Heat Mass Transf.
,
16
, pp.
3119
3134
.
6.
Schetz
,
J. A.
, and
Eichorn
,
R.
,
1964
, “
Natural Convection with Discontinuous Wall-Temperature Variations
,”
J. Fluid Mech.
,
18
, pp.
167
176
.
7.
Kelleher
,
M.
,
1971
, “
Free Convection from a Vertical Plate with a Discontinuous Wall Temperature
,”
ASME J. Heat Transfer
,
93
, pp.
349
356
.
8.
Jaluria
,
Y.
,
1982
, “
Buoyancy-Induced Flow Due to Isolated Thermal Sources on a Vertical Surface
,”
ASME J. Heat Transfer
,
104
, pp.
223
227
.
9.
Ravine
,
T. L.
, and
Richards
,
D. E.
,
1988
, “
Natural Convection Heat Transfer from a Discrete Thermal Source on a Vertical Surface
,”
ASME J. Heat Transfer
,
110
, pp.
1007
1009
.
10.
Lee, S., and Yovanovich, M. M., 1989, “Natural Convection from a Vertical Plate With Step Changes in Surface Heat Flux,” Heat Transfer in Convective Flows, ASME HTD-Vol. 107, pp. 239–247.
11.
Park
,
S. H.
, and
Tien
,
C. L.
,
1990
, “
An Approximate Analysis for Convective Heat Transfer on Thermally Nonuniform Surfaces
,”
ASME J. Heat Transfer
,
112
, pp.
952
958
.
12.
Tewari
,
S. S.
, and
Jaluria
,
Y.
,
1991
, “
Convective Heat Transfer with Buoyancy Effects from Thermal Sources Mounted on a Flat Plate
,”
AIAA Journal of Thermophysics and Heat Transfer
5
(
2
), pp.
199
207
.
13.
Kramtsov
,
P. P.
,
Martynenko
,
O. G.
,
Burak
,
V. S.
,
Shikh
,
I. A.
, and
Vollsov
,
S. V.
,
1995
, “
Nonstationary Convection Near a Vertical Surface with Periodic Change in Heat Flux
,”
Exp. Heat Transfer
,
8
, pp.
229
239
.
14.
Goel, S., and Jaluria, Y., 1986, “Thermal Transport from an Isolated Heat Source on a Vertical or Inclined Surface,” Proc. of 8th IHCT, 3, San Francisco, Hemisphere, New York, pp. 1341–1346.
15.
Ravine
,
T. L.
, and
Richards
,
D. E.
,
1988
, “
Natural Convection Heat Transfer from a Discrete Thermal Source on a Channel Wall
,”
ASME J. Heat Transfer
,
110
, pp.
1004
1007
.
16.
Yan
,
W. M.
, and
Lin
,
T. F.
,
1987
, “
Natural Convection Heat Transfer in Vertical Open Channel Flows with Discrete Heating
,”
Int. Commun. Heat Mass Transfer
,
14
, pp.
187
200
.
17.
Chadwick
,
M. L.
,
Webb
,
B. W.
, and
Heaton
,
H. S.
,
1991
, “
Natural Convection from Discrete Heat Sources in a Vertically Vented Rectangular Enclosure
,”
Exp. Heat Transfer
,
4
, pp.
199
216
.
18.
Elpidorou
,
D.
,
Prasad
,
V.
, and
Modi
,
V.
,
1991
, “
Convection in a Vertical Channel with a Finite Wall Heat Source
,”
Int. J. Heat Mass Transf.
,
34
, pp.
573
578
.
19.
Nickell, T. W., Ulrich, R. D., and Webb, B. W., 1987, “Combined Natural Convection and Radiation Heat Transfer from Parallel Plates with Discrete Heat Sources,” ASME Paper 87-WA/EPP-1.
20.
Manca, O, Nardini, S., Naso, V., and Ruocco, G., 1995, “Experiments on Natural Convection and Radiation in Asymmetrically Heated Vertical Channel with Discrete Heat Sources,” ASME HTD-Vol. 317, pp. 309–319.
21.
Joshi, Y., and Rahall, R. G., 1993, “Mixed Convection Liquid Cooling of Discrete Heat Sources in a Vertical Channel,” 6th Int. Symp. on Transport Phenomena in Thermal Engineering, Seoul, Korea, pp. 297–303.
22.
Joshi
,
Y.
, and
Knight
,
D. L.
,
1990
, “
Natural Convection From a Column of Flush Heat Sources in a Vertical Channel in Water
,”
ASME J. Electron. Packag.
,
112
, pp.
367
374
.
23.
Yucel
,
C.
,
Hasanaoui
,
M.
,
Robillard
,
L.
, and
Bilgen
,
E.
,
1993
, “
Mixed Convection Heat Transfer in Open Ended Inclined Channels with Discrete Isothermal Heating
,”
Numer. Heat Transfer, Part A
,
24
, pp.
109
126
.
24.
Manca
,
O.
,
Nardini
,
S.
, and
Naso
,
V.
,
2000
, “
Experimental Analysis of Air Natural Convection on Inclined Discretely Heated Plates with a Parallel Shroud Below
,”
Int. J. Heat Technology
,
18
(
1
), pp.
19
26
.
25.
Manca, O., Morrone, B., and Nardini, S., 1997, “Visualization of Natural Convection in Inclined Heated Parallel Plates,” Proc. of Eurotherm Seminar No. 45 on Thermal Management of Electronic Systems, Vol. II, pp. 283– 292.
26.
Webb
,
B. W.
, and
Hill
,
D. P.
,
1989
, “
High Rayleigh Number Laminar Natural Convection in an Asymmetrical Heated Vertical Channel
,”
ASME J. Heat Transfer
,
111
, pp.
501
507
.
27.
Kline
,
S. J.
, and
McClintock
,
F. A.
,
1953
, “
Describing Uncertainty in Single Sample Experiments
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
,
75
, pp.
3
12
.
28.
Moffat
,
R. J.
,
1988
, “
Describing the Uncertainties in Experimental Results
,”
Exp. Therm. Fluid Sci.
,
1
, pp.
3
17
.
29.
Manca
,
O.
, and
Nardini
,
S.
,
2001
, “
Thermal Design of Uniformly Heated Inclined Channels in Natural Convection with and without Radiative Effects
,”
Heat Transfer Eng.
,
22
(
1
), pp.
13
28
.
30.
Wirtz, R. A., and Haag, T, 1985, “Effect of an Unheated Entry on Natural Convection Between Vertical Parallel Plates,” ASME Paper No. 85-WA/HT-14.
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