Reverse natural air convection (hot plate top) was experimentally investigated between two inclined parallel aluminum plates (1 m × 2 m × 3 mm) with a separation distance of 20 mm to 100 mm. The inclination ϑ to the horizontal was varied from 0 deg to 90 deg. The mean temperatures of the plates have been adjusted to 90 °C and 30 °C resulting in Rayleigh numbers Ra between 2.7 × 104 and 3.3 × 106. The experimental conditions correspond to the back side of an absorber in a typical solar flat-plate collector, where the conventional insulation has been removed. The upper hot plate simulates the absorber and was electrically heated by an area heater, while the temperature distribution over the plate was measured. The lower cold plate was held isothermally by integrated water tubes and a thermostat. The side walls of the rectangular cavity were thermally connected to the colder plate and had a distance of 10 mm to the hot plate, comparable to a typical collector casing. The experimentally obtained results for Nu (Ra,ϑ) were mathematically described and compared to rare reverse convection data of other authors, gained at smaller aspect ratios/flow lengths and for adiabatic side walls: The formula of Elsherbiny approximately (within 10%) describes solar flat-plate collectors between 0 deg and 60 deg inclination, while the relations of Arnold, Ozoe, and Inaba show large errors up to 50%. Additionally, we experimentally showed that pure air gap insulation (30–50 mm) has surprisingly acceptable loss coefficients between 1.3 and 2.5 W/m2K depending on collector slope. It can be used as a cheap insulation method for low temperature collector applications. Additionally, inserting an 25–50 μm thick aluminum film symmetrically between the plates, a new and efficient insulation method for the absorber of a solar flat-plate collector was experimentally investigated: At plate distances of 30–50 mm, temperatures below 100 °C and slopes below 45 deg, this compact and cheap film insulation was proven to be equivalent to dry mineral wool and avoids its disadvantage of worsening insulation properties due to humidity.

References

1.
Beikircher
,
T.
,
Berger
,
V.
,
Osgyan
,
P.
,
Reuß
,
M.
, and
Streib
,
G.
,
2014
, “
Low-e Confined Air Chambers in Solar Flat-Plate Collectors as an Economic New Type of Rear Side Insulation Avoiding Moisture Problems
,”
Sol. Energy
,
105
, pp.
280
289
.
2.
Kays
,
W. M.
, and
Crawford
,
M.
,
1987
,
Convective Heat and Mass Transfer
,
McGraw-Hill
,
New York
.
3.
Dropkin
,
D.
, and
Sommerscales
,
E.
,
1965
, “
Heat Transfer by Natural Convection in Liquids Confined by Two Parallel Plates Which are Inclined at Various Angles With Respect to the Horizontal
,”
ASME J. Heat Transfer
,
87
(
1
), pp.
77
82
.
4.
Hollands
,
K. G. T.
,
Unny
,
T. E.
,
Raithby
,
G. D.
, and
Konicek
,
L.
,
1976
, “
Free Convective Heat Transfer Across Inclined Air Layers
,”
ASME J. Heat Transfer
,
98
(
2
), pp.
189
193
.
5.
Buchberg
,
H.
,
Catton
,
I.
, and
Edwards
,
D. K.
,
1976
, “
Natural Convection in Enclosed Spaces—A Review of Application to Solar Energy Collection
,”
ASME J. Heat Transfer
,
98
(
2
), pp.
182
188
.
6.
Ayyaswamy
,
P.
, and
Catton
,
I.
,
1973
, “
The Boundary-Layer Regime for Natural Convection in a Differentially Heated, Tilted Rectangular Cavity
,”
ASME J. Heat Transfer
,
95
(
4
), pp.
543
545
.
7.
Arnold
,
J.
,
Bonaparte
,
P.
,
Catton
,
I.
, and
Edwards
,
D.
,
1974
, “
Experimental Investigation of Natural Convection in a Finite Rectangular Region Inclined at Various Angles Between 0 and 180 deg
,” 1974
Heat Transfer and Fluid Mechanics Institute, Stanford University Press
,
Stanford, CA
.
8.
Arnold
,
J. N.
,
Catton
,
I.
, and
Edwards
,
D. K.
,
1975
, “
Experimental Investigation of Natural Convection in Inclined Rectangular Regions of Differing Aspect Ratios
,”
ASME J. Heat Transfer
,
98
(
1
), pp.
67
71
.
9.
Edwards
,
D.
,
Arnold
,
J.
, and
Catton
,
I.
,
1976
, “
End Clearance Effects on Rectangular-Honeycomb Solar Collectors
,”
Sol. Energy
,
18
(
3
), pp.
253
257
.
10.
Arnold
,
J. N.
,
Edwards
,
D. K.
, and
Catton
,
I.
,
1977
, “
Effect of Tilt and Horizontal Aspect Ratio on Natural Convection in a Rectangular Honeycomb
,”
ASME J. Heat Transfer
,
99
(
1
), pp.
120
122
.
11.
Ozoe
,
H.
,
Sayama
,
H.
, and
Churchill
,
S.
,
1973
, “
Natural Convection in an Inclined Square Channel
,”
Int. J. Heat Mass Transfer
,
17
(
3
), pp.
401
406
.
12.
Ozoe
,
H.
,
Yamamoto
,
K.
,
Sayama
,
H.
, and
Churchill
,
S.
,
1974
, “
Natural Circulation in an Inclined Rectangular Channel Heated on One Side and Cooled on the Opposing Side
,”
Int. J. Heat Mass Transfer
,
17
(
10
), pp.
1209
1217
.
13.
Churchill
,
S.
,
Ozoe
,
H.
, and
Sayama
,
H.
,
1975
, “
Natural Convection in an Inclined Rectangular Channel at Various Aspect Ratios and Angles: Experimental Measurements
,”
Int. J. Heat Mass Transfer
,
18
(
12
), pp.
1425
1431
.
14.
Inaba
,
H.
,
1984
, “
Experimental Study on Natural Convection in an Inclined Air Layer
,”
Int. J. Heat Mass Transfer
,
27
(
8
), pp.
1127
1139
.
15.
ElSherbiny
,
S. M.
,
1996
, “
Free Convection in Inclined Air Layers Heated From Above
,”
Int. J. Heat Mass Transfer
,
39
(
18
), pp.
3925
3930
.
16.
CMI
,
2016
, “
Millennium Problems
,” Clay Mathematics Institute, Peterborough, NH, accessed May 15, 2016, http://www.claymath.org/millennium-problems
17.
Fricke
,
J.
, and
Borst
,
W.
,
2013
,
Essentials of Energy Technology: Sources, Transport, Storage, Conservation
,
Wiley
,
New York
.
18.
Alzwayi
,
A.
, and
Paul
,
M.
,
2014
, “
Transition of Free Convection Flow Inside an Inclined Parallel Walled Channel: Effects of Angle and Width of the Channel
,”
Int. J. Heat Mass Transfer
,
68
, pp.
194
202
.
19.
Yedder
,
R.
, and
Bilgen
,
E.
,
1995
, “
Turbulent Natural Convection and Conduction in Enclosures Bounded by a Massive Wall
,”
Int. J. Heat Mass Transfer
,
38
(
10
), pp.
1879
1891
.
20.
Holck
,
O.
,
Svendsen
,
S.
,
Brunold
,
S.
,
Frei
,
U.
,
Köhl
,
M.
, and
Heck
,
M.
,
2003
, “
Solar Collector Design With Respect to Moisture Problems
,”
Sol. Energy
,
75
(
4
), pp.
269
276
.
21.
Ochs
,
F. W.
, and
Heidemann
,
H. M.
,
2008
, “
Effective Thermal Conductivity of Moistened Insulation Materials as a Function of Temperature
,”
Int. J. Heat Mass Transfer
,
51
(
3–4
), pp.
539
552
.
You do not currently have access to this content.