Natural convection heat transfer coefficients for a rectangular array of eight tubes contained in a thin enclosure of aspect ratio 9.3:1 and inclined at 30 deg to the horizontal are measured for a range of transient operating modes typical of a load side heat exchanger in unpressurized integral collector-storage systems. Water is the working fluid, and thermal charging is accomplished via a constant heat flux on the upper boundary. All other boundaries are well insulated. Results for isothermal and stratified enclosures yield the following correlation for the overall Nusselt number: NuD=0.728±0.002RaD0.25,4.0×105RaD1.4×107. The flow field in the enclosure is inferred from measured temperature distributions. The temperature difference that drives natural convection is also determined. The results extend earlier work for the case of a single tube and provide limiting case heat transfer data for a tube bundle that occupies the upper portion of the collector storage.

1.
Bourne, D., Lee, E., Callaway, D., and Plaisted, J., 2003, “Design and Development of a Low Cost ICS Solar Water Heater,” Solar 2003, Proceedings of the 32nd American Solar Energy Society Annual Conference, Austin, TX, R. Campbell-Howe, Ed., CDROM.
2.
Liu, W., Davidson, J. H., and Kulacki, F. A., 2001, “Natural Convection From a Single Tube Immersed in a Tilted Thin Enclosure,” Proceedings, International Conference on Energy Conversion and Application, Huazhong University of Science and Technology Press, Wuhan, China, W. Liu Ed., Vol. 1, pp. 408-413.
3.
Liu
,
W.
,
Davidson
,
J. H.
,
Kulacki
,
F. A.
, and
Mantell
,
S. C.
,
2003
, “
Natural Convection From a Horizontal Tube Heat Exchanger Immersed in a Tilted Enclosure
,”
ASME J. Sol. Energy Eng.
,
125
, pp.
67
75
.
4.
Morgan, V. T., 1975, “The Overall Convective Heat Transfer From Smooth Circular Cylinders,” Advances in Heat Transfer, Vol. 11, Hartnett, J., and Irvine, T., Eds., John Wiley, New York, pp. 199–264.
5.
Liu, W., 2003, “Natural Convection Heat Transfer From Horizontal Tube Bundles Immersed in Tilted Thin Enclosures,” Doctoral Dissertation Mechanical Engineering, University of Minnesota, 2003.
6.
Wu, L., and Bannerot, R. B., 1987, “Experimental Study of the Effect of Water Extraction on Thermal Stratification in Storage,” Proceedings of the 1987 ASME-JSME-JSES Solar Energy Conference, Honolulu, HI, Vol. 1, pp. 445–451.
7.
Eckert, E. R. G., and Soehngen, E., 1948, “Studies on Heat Transfer in Laminar Free Convection With the Zehnder-Mach Interferometer,” Air Force Technical Report No. 5747, U.S.A.F., Air Material Command, Dayton, Ohio.
8.
Sparrow
,
E. M.
, and
Boessneck
,
D. S.
,
1983
, “
Effect of Transverse Misalignment on Natural Convection Form a Pair or Parallel, Vertically Stacked, Horizontal Cylinders
,”
J. Heat Transfer
,
105
, pp.
241
247
.
9.
Tillman, E. S., 1976, “Natural Convection Heat Transfer From Horizontal Tube Bundles,” Proceedings, ASME-AIChE Heat Transfer Conference, American Society of Mechanical Engineers, New York, Paper No. 76-HT-35.
10.
Choi
,
K.
, and
Cha
,
S.
,
1990
, “
Plume-Rise Effect on Natural Convection Heat Transfer in Staggered Arrays of Circular Heating Elements
,”
J. Thermophys. Heat Transfer
,
4
, pp.
228
232
.
You do not currently have access to this content.