The problem of an axisymmetrical laminar flow past a square cavity was treated experimentally. The cavity flow patterns obtained in flow visualization were of a special interest. Some geometrical features of dividing streamline like coordinates of separate and reattachment points as well as the coordinates of the vortex center were measured for a range of Re numbers and compared with the numerical results obtained by Stevenson. The detected flow patterns were also related to the global pressure-flow characteristic. Two zones of laminar flow characterized by the different nonlinear corrections to Darcy’s law were distinguished.

1.
Butterfield B. G., and Meyland B. A., 1980, Three-Dimensional Structure of Wood, Chapman and Hall, London, New York.
2.
Cieslicki
K.
, and
Lasowska
A.
,
1986
, “
Flow of Water in Models of Porous Space in the Light of the Forchheimer Equation
,”
Archives of Mining Science
, Vol.
31
, pp.
63
75
. (in Polish)
3.
Cieslicki
K.
,
1988
, “
Nonlinear Fluid Flow through Periodic Models of Porous Space, Part I. Theoretical Considerations, Part II. Experimental Results
,”
Bulletin of the Polish Academy of Sciences, Technical Sciences
, Vol.
36
, pp.
3
27
.
4.
Cieslicki
K.
, and
Lasowska
A.
,
1995
, “
The Effect of Inertia on Flows in Tubes with Periodic Step Changes in Diameter
,”
Bulletin of the Polish Academy of Sciences, Technical Sciences
, Vol.
43
, pp.
423
438
.
5.
Dullien
F. A.
, and
Azzam
M. I.
,
1973
, “
Flow Rate—Pressure Gradient Measurements in Periodically Nonuniform Capillary Tubes
,”
AIChE Journal
, Vol.
19
, pp.
222
229
.
6.
Firdaouss
M.
,
Guermond
J. L.
, and
Le Quere
P.
,
1997
, “
Nonlinear Corrections to Darcy’s Law at Low Reynolds Numbers
,”
Journal of Fluid Mechanics
, Vol.
343
, pp.
331
350
.
7.
Friedman
F.
,
1970
, “
Flow in a Circular Pipe with Recessed Walls
,”
ASME Journal of Applied Mechanics
, Vol.
37
, pp.
5
8
.
8.
Jeje
A. A.
,
1985
, “
Flow Models of Microcapillaries of Living Plants
,”
Physical Hydrodynamics
, Vol.
115
, pp.
15
26
.
9.
Jeje
A. A.
, and
Zimmerman
M. H.
,
1979
, “
Resistance to Water Flow in Xylem Vessels
,”
Journal of Experimental Botany
, Vol.
30
, pp.
817
823
.
10.
Juritza G., 1987, “Anatomie der Samenpflanzen,” Thieme, Stuttgart.
11.
Lahbabi
A.
, and
Chang
H. CH.
,
1986
, “
Flow in Periodically Constricted Tubes: Transition to Inertial and Non steady Flows
,”
Chemical Engineering Science
, Vol.
41
, pp.
2487
2505
.
12.
Lasowska A., 1996, “Experimental Investigations of Flow Through Porous Media and Selected Models of the Porous Space,” PhD thesis, Polish Academy of Science, Strata Mechanics Research Inst. Krakow.
13.
Lymberopuulos
D. P.
, and
Payatakes
A. C.
,
1992
, “
Derivation of Topological, Geometrical and Correlational Properties of Porous Media from Pore Chart Analysis of Several Section Data
,”
Journal of Colloid and Interface Science
, Vol.
150
, pp.
61
80
.
14.
Mei
C. C.
, and
Auriault
J. L.
,
1991
, “
The Effect of Weak Inertia on Flow through a Porous Medium
,”
Journal of Fluid Mechanics
, Vol.
222
, pp.
647
663
.
15.
Moffat
H. K.
,
1964
, “
Viscous and Resistive Eddies Near a Sharp Corner
,”
Journal of Fluid Mechanics
, Vol.
18
, pp.
1
18
.
16.
O’Brien
V.
,
1972
, “
Closed Streamlines Associated with Channel Flow over a Cavity
,”
Physics of Fluids
, Vol.
15
, pp.
2089
2097
.
17.
Payatakes
A. C.
, and
Neira
M. A.
,
1977
, “
Model of the Constricted Unit Cell Type for Isotropic Granular Porous Media
,”
AIChE Journal
, Vol.
23
, pp.
922
931
.
18.
Scho¨nberger Ch., 1992 “Experimentelle Untersuchungen u¨ber schleichende Stro¨mungen durch ein Rohr mit ringfo¨rmen Wandstrukturen,” Diplomarbeit, Max-Planck-Institut fu¨r Stro¨mungsforschung, Go¨ttingen.
19.
Schulte
P. J.
,
Gibson
A. C.
, and
Nobel
P. S.
,
1989
, “
Water Flow in Vessels with Simple or Compound Perforation Plates
,”
Annals of Botany
, Vol.
64
, pp.
171
180
.
20.
Stark
K. P.
,
1972
, “
Numerical Study of the Nonlinear Laminar Regime Flow in an Idealized Porous Media
,”
International Association for Hydraulic Research
, Vol.
18
, pp.
86
102
.
21.
Stevenson
J. F.
,
1973
, “
Flow in a Tube with Circumferential Wall Cavity
,”
ASME Journal of Applied Mechanics
, Vol.
40
, pp.
355
360
.
22.
Taneda
S.
,
1979
, “
Visualization of Separating Stokes Flow
,”
Journal of Physical Society of Japan
, Vol.
46
, pp.
1935
1942
.
23.
Takematsu
M.
,
1966
, “
Slow Viscous Flow past a Cavity
,”
Journal of Physical Society of Japan
, Vol.
21
, No.
9
, pp.
1816
1821
.
24.
Tutty
O. R.
,
1988
, “
Flow in a Tube with a Small Side Branch
,”
Journal of Fluid Mechanics
, Vol.
191
, pp.
79
109
.
25.
Zimmermann M. H., 1983, Xylem Structure and Ascent of Sap, Springer, Berlin, Heidelberg, New York, Tokyo.
This content is only available via PDF.
You do not currently have access to this content.