Abstract

Stabilization of the buoyancy-driven unstable mixed convective vortex air flow in a bottom heated rectangular duct by tapering its top plate is investigated experimentally. Specifically, the duct is tapered so that its aspect ratio at the duct inlet is 4 and gradually raised to 12 at the exit of the duct. In the study the secondary flow in the duct is visualized and the steady and transient thermal characteristics of the flow are examined by measuring the spanwise distributions of the time-average temperature. The effects of the Reynolds and Grashof numbers on the vortex flow structure are studied in detail. Moreover, the spanwise-averaged Nusselt numbers for the horizontal rectangular and tapering ducts are also measured and compared. Furthermore, the time records of the air temperature are obtained to further detect the temporal stability of the flow. Over the ranges of the Re and Gr investigated for 5⩽Re⩽102 and 1.0×104Gr1.7×105, the vortex flow induced in the rectangular duct exhibits temporal transition from a steady laminar to time periodic and then to chaotic state at increasing buoyancy-to-inertia ratio. Substantial change in the spatial structure of the vortex flow is also noted to accompany this temporal transition. The results for the tapering duct indicate that more vortex rolls can be induced due to the increase in the aspect ratio of the duct with the axial distance. But the vortex rolls are weaker and are completely stabilized by the tapering of the top plate. [S0022-1481(00)70301-X]

1.
Mori
,
Y.
, and
Uchida
,
Y.
,
1996
, “
Forced Convective Heat Transfer Between Horizontal Flat Plates
,”
Int. J. Heat Mass Transf.
,
9
, pp.
803
817
.
2.
Akiyama
,
M.
,
Hwang
,
G. J.
, and
Cheng
,
K. C.
,
1971
, “
Experiments on the Onset of Longitudinal Vortices in Laminar Forced Convection Between Horizontal Plates
,”
ASME J. Heat Transfer
,
93
, pp.
335
341
.
3.
Ostrach
,
S.
, and
Kamotani
,
Y.
,
1975
, “
Heat Transfer Augmentation in Laminar Fully Developed Channel Flow by Means of Heating From Below
,”
ASME J. Heat Transfer
,
97
, pp.
220
225
.
4.
Kamotani
,
Y.
, and
Ostrach
,
S.
,
1976
, “
Effect of Thermal Instability on Thermally Developing Laminar Channel Flow
,”
ASME J. Heat Transfer
,
98
, pp.
62
66
.
5.
Hwang
,
G. J.
, and
Liu
,
C. L.
,
1976
, “
An Experimental Study of Convective Instability in the Thermal Entrance Region of a Horizontal Parallel-Plate Channel Heated From Below
,”
Can. J. Chem. Eng.
,
54
, pp.
521
525
.
6.
Incropera
,
F. P.
,
Knox
,
A. L.
, and
Maughan
,
J. R.
,
1987
, “
Mixed-Convection Flow and Heat Transfer in the Entry Region of a Horizontal Rectangular Duct
,”
ASME J. Heat Transfer
,
109
, pp.
434
439
.
7.
Maughan
,
J. R.
, and
Incropera
,
F. P.
,
1990
, “
Regions of Heat Transfer Enhancement for Laminar Mixed Convection in a Parallel Plate Channel
,”
Int. J. Heat Mass Transf.
,
33
, pp.
555
570
.
8.
Moharreri
,
S. S.
,
Armaly
,
B. F.
, and
Chen
,
T. S.
,
1988
, “
Measurements in the Transition Vortex Flow Regime of Mixed Convection Above a Horizontal Heated Plate
,”
ASME J. Heat Transfer
,
110
, pp.
358
365
.
9.
Chiu
,
K. C.
, and
Rosenberger
,
F.
,
1987
, “
Mixed Convection Between Horizontal Plate—I. Entrance Effects
,”
Int. J. Heat Mass Transf.
,
30
, pp.
1645
1654
.
10.
Chiu
,
K. C.
,
Ouazzani
,
J.
, and
Rosenberger
,
F.
,
1987
, “
Mixed Convection Between Horizontal Plates—II. Fully Developed Flow
,”
Int. J. Heat Mass Transf.
,
30
, pp.
1655
1662
.
11.
Nyce
,
T. A.
,
Ouazzani
,
J.
,
Durand-Daubin
,
A.
, and
Rosenberger
,
F.
,
1992
, “
Mixed Convection in a Horizontal Rectangular Channel-Experimental and Numerical Velocity Distributions
,”
Int. J. Heat Mass Transf.
,
35
, pp.
1481
1494
.
12.
Ouazzani
,
M. T.
,
Caltagirone
,
J. P.
,
Meyer
,
G.
, and
Mojtabi
,
A.
,
1989
, “
Etude Numerique et Experimental de la Convection Mixte Entre Deux Plans Horizontaux
,”
Int. J. Heat Mass Transf.
,
32
, pp.
261
269
.
13.
Ouazzani
,
M. T.
,
Platten
,
J. K.
, and
Mojtabi
,
A.
,
1990
, “
Etude Experimental de la Convection Mixte Entre Duex Plans Horizontaux a Temperatures Differents—II
,”
Int. J. Heat Mass Transf.
,
33
, pp.
1417
1427
.
14.
Yu
,
C. H.
,
Chang
,
M. Y.
, and
Lin
,
T. F.
,
1996
, “
Structures of Moving Transverse and Mixed Rolls in Mixed Convection in a Horizontal Plane Channel
,”
Int. J. Heat Mass Transf.
,
40
, pp.
333
346
.
15.
Cheng
,
K. C.
, and
Shi
,
L.
,
1994
, “
Visualization of Convective Instability Phenomena in the Entrance Region of a Horizontal Rectangular Channel Heated From Below and/or Cooled From Above
,”
Exp. Heat Transfer
,
7
, pp.
235
248
.
16.
Koizumi
,
H.
, and
Hosokawa
,
I.
,
1993
, “
Unsteady Behavior and Mass Transfer Performance of the Combined Convective Flow in a Horizontal Rectangular Duct Heated From Below
,”
Int. J. Heat Mass Transf.
,
36
, pp.
3937
3947
.
17.
Huang
,
C. C.
, and
Lin
,
T. F.
,
1994
, “
Buoyancy Induced Flow Transition in Mixed Convective Flow of Air Through a Bottom Heated Horizontal Rectangular Duct
,”
Int. J. Heat Mass Transf.
,
37
, pp.
1235
1255
.
18.
Huang
,
C. C.
, and
Lin
,
T. F.
,
1995
, “
Vortex Flow and Thermal Characteristics in Mixed Convection of Air in a Horizontal Rectangular Duct: Effects of Reynolds and Grashof Numbers
,”
Int. J. Heat Mass Transf.
,
38
, pp.
1661
1674
.
19.
Lin
,
W. L.
, and
Lin
,
T. F.
,
1996
, “
Experimental Study of Unstable Mixed Convection of Air in a Bottom Heated Horizontal Rectangular Duct
,”
Int. J. Heat Mass Transf.
,
39
, pp.
1649
1663
.
20.
Lin
,
W. L.
,
Ker
,
Y. T.
, and
Lin
,
T. F.
,
1996
, “
Experimental Observation and Conjugate Heat Transfer Analysis of Vortex Flow Development in Mixed Convection of Air in a Horizontal Rectangular Duct
,”
Int. J. Heat Mass Transf.
,
39
, pp.
3667
3683
.
21.
Kline
,
S. J.
, and
Mcclintock
,
F. A.
,
1953
, “
Describing Uncertainties in Single-Sample Experiments
,”
Mech. Eng.
,
75
, pp.
3
8
.
22.
Tseng, W. S., 1996, “Stabilization of Mixed Convective Air Flow in a Bottom Heated Rectangular Duct by Tapering its Top Plate,” M.S. thesis, National Chiao Tung University, Hsinchu, Taiwan, R.O.C.
23.
Visser
,
E. P.
,
Kleijn
,
C. R.
,
Govers
,
C. A. M.
, and
Hoogendoorn
,
C. J.
,
1989
, “
Return Flows in Horizontal MOCVD Reactors Studied With the Use of TiO2 Particle Injection and Numerical Calculations
,”
J. Cryst. Growth
,
94
, pp.
929
946
.
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