Abstract

In the present work, theoretical and experimental studies on the interaction of water waves with a truncated circular cylinder were performed. The cylinder, which is partly made of porous materials, possesses a porous sidewall and an impermeable bottom. A nondimensional parameter b is adopted in the theoretic formulation to describe the porosity, which is not directly related to the opening ratio τ of the porous materials. To validate the theoretical work and computed results, a series of model tests are carried out in a wave basin. Effort is made to establish an empirical relation between b and τ based on the comparison of the calculation and experimental data. The phenomenon of the sloshing mode that occurred at a certain wave number is observed, which might have an application in breakwaters. The validation of the Haskind relations is examined for the porous body. It is found that the damping coefficient consists of two parts. In addition to the component of conventional wave-radiating damping, there exists a second component caused by the porous effects.

1.
Chwang
,
A. T.
, and
Li
,
W.
, 1983, “
A Piston-Type Porous Wavemaker Theory
,”
J. Eng. Math.
0022-0833,
17
, pp.
301
313
.
2.
Cho
,
I. H.
, and
Kim
,
M. H.
, 2000, “
Interactions of Horizontal Porous Flexible Membrane With Wave
,”
J. Wtrwy., Port, Coast., and Oc. Div.
0148-9895,
126
(
5
), pp.
245
253
.
3.
Isaacson
,
M.
,
Premasiri
,
S.
, and
Yang
,
G.
, 1998, “
Wave Interaction With Vertical Slotted Barrier
,”
J. Wtrwy., Port, Coast., and Oc. Div.
0148-9895,
124
(
3
), pp.
118
126
.
4.
Chwang
,
A. T.
, and
Chan
,
A. T.
, 1998, “
Interaction Between Porous Media and Wave Motion
,”
Annu. Rev. Fluid Mech.
0066-4189,
30
, pp.
53
84
.
5.
Zhu
,
S.
, and
Chwang
,
A. T.
, 2001, “
Analytical Study of Porous Wave Absorber
,”
J. Eng. Mech.
0733-9399,
127
(
4
), pp.
326
332
.
6.
Williams
,
A. N.
, and
Li
,
W.
, 1998, “
Wave Interaction With a Semi-Porous Cylindrical Breakwater Mounted on a Storage Tank
,”
Ocean Eng.
0029-8018,
25
, pp.
195
219
.
7.
Williams
,
A. N.
,
Li
,
W.
, and
Wang
,
K. H.
, 2000, “
Water Wave Interaction With a Floating Porous Cylinder
,”
Ocean Eng.
0029-8018,
27
, pp.
1
28
.
8.
Williams
,
A. N.
, and
Li
,
W.
, 2000, “
Water Wave Interaction With an Array of Bottom-Mounted Surface-Piercing Porous Cylinders
,”
Ocean Eng.
0029-8018,
27
, pp.
841
866
.
9.
Silva
,
R.
,
Govaere
,
G.
, and
Salles
,
P.
, 2003, “
Wave Interaction With Cylindrical Porous Piles
,”
Ocean Eng.
0029-8018,
30
, pp.
1719
1740
.
10.
Molin
,
B.
, and
Legras
,
J. -L.
, 1990, “
Hydrodynamic Modeling of the ROSEAU Tower Stabilizer
,”
Proceedings of the Ninth OMAE Conference
, Houston, TX.
11.
Molin
,
B.
,
Remy
,
F.
, and
Rippol
,
T.
, 2007, “
Experimental Study of the Heave Added Mass and Damping of Solid and Perforated Disks Close to the Free Surface
,”
Proceedings of the IMAM Conference
, Varna.
12.
Taylor
,
G.
, 1956, “
Fluid Flow in Regions Bounded by Porous Surfaces
,”
Proc. R. Soc. London, Ser. A
0950-1207,
234
, pp.
456
475
.
13.
Chwang
,
A. T.
, 1983, “
A Porous Wavemaker Theory
,”
J. Fluid Mech.
0022-1120,
132
, pp.
395
406
.
14.
Molin
,
B.
, 2001, “
On the Added Mass and Damping of Periodic Arrays of Fully or Partially Porous Disks
,”
J. Fluids Struct.
0889-9746,
15
, pp.
275
290
.
15.
Dagan
,
G.
, 1989,
Flow and Transport in Porous Formations
,
Springer-Verlag
,
Berlin
.
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