This paper presents three-dimensional numerical simulation results of the effect of surface tension on two-phase flow over unglazed collector covered with a wire screen. The homogenous model is used to simulate the flow with and without the effect of porous material of wire screen and surface tension. The Eulerian-Eulerian multiphase flow approach was used in this study. The phases are completely stratified, the interphase is well defined (free surface flow), and interphase transfer rate is very large. The liquid–solid interface, gas–liquid interface, and the volume fraction for both phases were considered as boundaries for this model. The results show that the use of porous material of wire screen will reduce the velocity of water flow and help the water flow to distribute evenly over unglazed plate collector. The possibility of forming any hot spot region on the surface was reduced. The water velocity with the effect of surface tension was found higher than the one without this effect, due to the extra momentum source added by surface tension in longitudinal direction. The use of porous material of wires assures an evenly distribution flow velocity over the inclined plate, therefore helps a net enhancement of heat transfer mechanism for unglazed solar water collector application.

References

1.
Towell
,
G. D.
, and
Rothfeld
,
L. B.
,
1966
, “
Hydrodynamics of Rivulet Flow
,”
J. Am. Inst. Chem. Eng.
,
12
(
5
), pp.
972
980
.
2.
Vafai
,
K.
, and
Tien
,
C. L.
,
1982
, “
Boundary and Inertia Effects on Convective Mass Transfer in Porous Media
,”
Int. J. Heat Mass Transfer
,
25
(
8
), pp.
1183
1190
.
3.
Vafai
,
K.
, and
Tien
,
C. L.
,
1981
, “
Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media
,”
Int. J. Heat Mass Transfer
,
24
(
2
), pp.
195
203
.
4.
Marafie
,
A.
,
Khanafer
,
K.
,
Al-Azmi
,
B.
, and
Vafai
,
K.
,
2008
, “
Non-Darcian Effects on the Mixed Convection Heat Transfer in a Metallic Porous Block With a Confined Slot Jet
,”
Numer. Heat Transfer, Part A
,
54
(
7
), pp.
665
685
.
5.
Alazmi
,
B.
, and
Vafai
,
K.
,
2000
, “
Analysis of Variants Within the Porous Media Transport Models
,”
ASME J. Heat Transfer
,
122
(
2
), pp.
303
326
.
6.
Alazmi
,
B.
, and
Vafai
,
K.
,
2004
, “
Analysis of Variable Porosity, Thermal Dispersion, and Local Thermal Nonequilibrium on Free Surface Flows Through Porous Media
,”
ASME J. Heat Transfer
,
126
(
3
), pp.
389
399
.
7.
Amiri
,
A.
, and
Vafai
,
K.
,
1998
, “
Transient Analysis of Incompressible Flow Through a Packed Bed
,”
Int. J. Heat Mass Transfer
,
41
(
24
), pp.
4259
4279
.
8.
Amiri
,
A.
,
Vafai
,
K.
, and
Kuzay
,
T. M.
,
1995
, “
Effect of Boundary Conditions on Non-Darcian Heat Transfer Through Porous Media and Experimental Comparisons
,”
Numer. Heat Transfer J. Part A
,
27
(
6
), pp.
651
664
.
9.
Amiri
,
A.
, and
Vafai
,
K.
,
1994
, “
Analysis of Dispersion Effects and Non-Thermal Equilibrium Non-Darcian, Variable Porosity Incompressible Flow Through Porous Medium
,”
Int. J. Heat Mass Transfer
,
37
(
6
), pp.
939
954
.
10.
Bear
,
J.
,
1972
,
Dynamics of Fluids in Porous Media
,
American Elsevier Pub
,
New York
.
11.
Allen
,
R. F.
, and
Biggin
,
C. M.
,
1974
, “
Longitudinal Flow of a Lenticular Liquid Filament Down an Inclined Plane
,”
Phys. Fluids
,
17
(
2
), pp.
287
291
.
12.
Badran
,
A.
,
1979
, “
Utilization of Solar Energy by Using Black Liquid Collectors
,” M.Sc. thesis, Massachusetts Institute of Technology, Cambridge MA.
13.
Duffy
,
B. R.
, and
Moffat
,
H. K.
,
1995
, “
Flow of a Viscous Trickle on a Slowly Varying Incline
,”
Chem. Eng. J.
,
60
(
1–3
), pp.
141
146
.
14.
Li
,
M.
,
Bando
,
Y.
, and
Tsunge
,
T.
,
2001
, “
Analysis of Liquid Distribution in Non- Uniformly Packed Trickle Bed With Single Phase Flow
,”
Chem. Eng. Sci.
,
56
(
21–22
), pp.
5969
5979
.
15.
Harlow
,
F. H.
, and
Welch
,
J. E.
,
1965
, “
Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluid With Free Surface
,”
Phys. Fluids
,
8
(
12
), pp.
2182
2189
.
16.
Hirt
,
C. W.
, and
Nichols
,
B. D.
,
1981
, “
Volume of Fluid (VoF) Method for the Dynamics of Free Boundaries
,”
J. Comput. Phys.
,
39
(
1
), pp.
201
225
.
17.
Richard
,
M.
,
Colella
,
P.
, and
Crutchfield
,
W. Y.
,
2000
, “
A Numerical Model for Trickle Bed Reactors
,”
J. Comput. Phys.
,
165
(2), pp.
311
333
.
18.
Lee
,
S. L.
, and
Sheu
,
S. R.
,
2001
, “
A New Numerical Formulation for Incompressible Viscous Free Surface Without Smearing the Free Surface
,”
Int. J. Heat Mass Transfer
,
44
(
10
), pp.
1837
1848
.
19.
Ambrosini
,
W.
,
Forgione
,
N.
, and
Oriolo
,
F.
,
2002
, “
Statistical Characteristics of a Water Film Falling down a Flat Plate at Different Inclinations and Temperatures
,”
Int. J. Multiphase Flow
,
28
(
9
), pp.
1521
1540
.
20.
Atta
,
A.
,
Roy
,
S.
, and
Nigam
,
K. D. P.
,
2007
, “
Investigation of Liquid Mal Distribution in Trickle- Bed Reactors Using Porous Media Concept in CFD
,”
Chem. Eng. Sci.
,
62
(
24
), pp.
7033
7044
.
21.
Lappalainen
,
K.
,
Manninen
,
M.
,
Alopeus
,
V.
,
Aittamaa
,
J.
, and
Dodds
,
J.
,
2009a
, “
An Analytical Model for Capillary Pressure–Saturation Relation for Gas–Liquid System in a Packed Bed of Spherical Particles
,”
Transp. Porous Media
,
77
(
1
), pp.
17
40
.
22.
Lappalainen
,
K.
,
Manninen
,
M.
, and
Alopaeus
,
V.
,
2009b
, “
CFD Modeling of Radial Spreading of Flow in Trickle-Bed Reactors Due to Mechanical and Capillary Dispersion
,”
Chem. Eng. Sci.
,
64
(
2
), pp.
207
218
.
23.
Salameh
,
T.
, “
Trickle Flow down an Inclined Plate Covered With a Wire Screen
,” Master thesis, University of Jordan, Amman, Jordan.
You do not currently have access to this content.