l.b. y.
Scheepbouwkundt
Technische
1-logeschool
Reprinted from Norwegian Fishing and Maritime
NewP-l963.
NORWEGIAN SHIP MODEL EXPERIMENT TANK
THE TECHNICAL UNIVERSITY OF NORWAY
MODEL TESTS WITH
3 BOTTOM TRAWL
OTTERBOARDS
BY
H. AA. WALDERHAUG
A. AKRE
NOR\vI:(;IAN SHIP MODEL EXPERIMENT TANK PUBLICATION NO. 69
LIST OF CONTENTS
Page
Abstract i
Definitions I
Scale effects 2
Free stream tests 3
Bottom tests 4
Comments to the test results .. 5
.9-MODEL TESTS WITH 3 BOTTOM TRAWL OTTERBOARDS
By H. AA. WALDERHAUG & A. ÄKRE
NORWEGIAN SHIP MODEL EXPERIMENT TANK - THE TECHNICAL UNIVERSITY OF NORWAY ABSTRACT
In this report are described some results of otter-board hydrodynamical tests carried out at the
Nor-wegian Ship Model Experiment Tank and sponsored by the Norwegian working group for development of one-boat pelagic trawl (APE). The test results were
presented at the first meeting of the International
group for pelagic fishing methods and gear (IF), the
Hague, 6. to 8. November 1962.
DEFINITIONS
The otterboards tested are all designed for bottom trawis, and following notation is used:
Rectangular otterboard of orthodox design (Fig. 1).
Oval otterhoard (Matrossow board) with one
vertical slot at the centre of the board (Fig. 2).
Oval otterboard with 3 slots (Fig. 3).
B 2 a: As B 2, but with 2 slots, one at the centre
and one at the leading edge (Fig. 4).
Section A-A Suct,on side. L31Qa n
4-Fig. 1. Otter Board B 1 (Rectangular otter board).
Weight: 1100 kilogram. Area: 456 m2. tu: 0,0355. Repnolds' number at towing speed 3,5 knot: 5,5 X 10°.
B 2 b: As B 2, but with a streamlined leading edge,
NACA wing section (Fig. 4).
B 2 c: As B 2, but without slot.
B I a and B 2 d: As B i and B a respectively, but
without fittings such as brackets, strengthening strips
and -edges, hooks, links for back strops, bolts, pints etc.
B 3 a, b, c: As B 3, but with slot angles equal to
40° 45° and 50° respectively.
The slot angle for B 3 is 42°, where the slot angle
is defined as the angle between the after slot corde
line and the otterboard corde line (Fig. 3).
The following definitions were made in order to
relate otterboard model tests to tests with the
com-plete trawl gear:
The tangent plane is defined as the piane tangent to the pressure side of the otterboard. Some examples of tangent planes are shown with dotted lines in the
sketch. For the otterboards described in this report
the tangent planes and pressure sides are synonymous.
Fig. 2. Otter Board B 2. Ovale otter board with one
slots. Weight: 950 kilogram. Area: 4.55 m2. tu: 0.055.5. Repnolds' number at towing speed 3.5 knot: 5,56 X 10°
The reference plane is defined as a vertical plane
parallel to the speed direction (speed vector).
During the tests described in this report the angle
of inclination and the angle of tilt, were both zero,
so that the tangent plane was always vertical.
The angle of attack, a is measured in a plane
through the speed vector and perpendicular to thetangent plane.
The following nondimensional coefficients are used:
CL =
'/2p AV2
CD D dragcoefficient
p AV2
LID lift/drag ratio
where L = lift force in the plane of the agnle of
attack and perpendicular to the speed vector.
L
Suction Side.
= liftcoeffieient
I. 2OSu
Fig. 3. Otter Board B 3. Ovale otter board with three
slots. Weight: 290 kilogram. Area: 2035 m2. t/l: 0.0498.
Reynolds number at towing speed 3.5 knot 3.6 X 10'. 4
29p
3t20
btte,- board 02 a.
Fig. 4. Otter Board B 2 a, B 2 b. Modifications of
otter board B 2.
During the tests described in this report, the lift and spread forces are syllonymous.
D = drag force in the speed direction.
p = mass density
A = projected area of otterboard in the tangent
plane.
V = velocity.
Reynolds' number is defined as
Vc
Re =
V
where
c = length of otterboard (corde)
= kinematic viscosity.
SCALE EFFECTS - MODEL SIZE
The first problem in model testing is to find a rela-tion between model and prototype as regards forces
and moments. The forces involved when an
otter-board is towed deeply submerged in water, are fric-tional forces and inertia forces, and the streamlines around the model and prototype are geometrically si-Otter board 2 b
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Diagram no. 1. Freestream tests, otter board B I and
B 2. Force coefficient as function of Reijnolds' number.
milar if Reynolds' number is the same for model and prototype. This can not easily be realized in a model tank, but fortunately the force- and moment coeff
i-cienta are practically
in-dependent of Reynolds'
number 'variations for Re
larger than 0.5 X 10° i X 10°. As model scale
for B i and B 2 were
chosen i : 5, and for B 3, which is a smaller
otter-board, were chosen the
scale i 4. With these
models the critical
Rey-nolds' number mentioned
above, are reached in
the model tank.
Diagram no. 2.
Free-stream tests, otter board B 1, B 2 and B 3. Force coefficient and liftdrag
iatio of otter board as
function of angle of
attack.
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In Diagram i are shown the force coefficients of otter.boards B i and B 2 as a function of Reynolds'
number. B 2 is tested in this series at two angles of attack, i.e. 28° and 38°, and for this board the force coefficients will be approximately independent of Re for Re larger than 0.65 X 106. The critical Re for the
rectangular otterboard B i is lower, approximately
0.5 X 106. The higher critical speed of B 2 than that
of B i may be due to the shape of the otterboard as well as the effect of the slot.
Based on this test series and on results of airfoil
tests (see f. ex. the British Shipbuilding Research
Association, Reports No. 70 and 142) it is expected that full scale behaviour of otterhoard in open water
may be predicted from model test carried out at a
Re of at least 0.65 X 106.
The force coefficients and lift/drag ratios as a
func-tion of angle of attack is given in Diagrams 2, 3 and 4.
Only the angles of attack between 20° and 45° have
been considered of practical interest; however, the efficiency or lift/drag ratio of the otterboards will
have a maximum at an angle of attack less than 20°. It may be observed from the curves that otterboard
B 3 has the highest L/D ratio, whereas B 2 has the
highest lift-coefficient.
Concerning the modified otterboards, it is shown in Diagram 3 that B 2 a as well as B 2 b has a 12-13 %
higher lift/drag ratio than B 2.
In Diagram 4 is shown the effect of varying the
slot angle for B 3. The effect is quite marked with a maximum lift/drag ratio at a slot angle between
42° and 45°.
Results of the open water streamline tests are
4.5
Diagram no. 3.
Freestream tests otter board B 2. Force coeffi-cients and lift-drag ratio
of otter board as func-tion of angle of attacc.
shown in photograph no. i and 2. The
3-dimensio-nal flow at the top and
bottom of the otterboard
is easily observed. This
effect
will reduce the
lift considerably
compa-red with 2-dimensional
lift.
BOTTOM TESTS
During these tests the otterboards were towed
very close to the bottom (maximum distance about 5 mm) but without actually touching the bottom. Mechanical
fric-tion was therefore not involved, and the law
of similarity between model and prototype mentioned earlier is still valid.
In Diagram 5 is shown the effect of Reynolds'
num-ber variations on the force coefficients.
It will be
observed that the critical Re are higher than thosefor the open water tests. This effect is more
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The effect of variations in angle of attack is shown in the Diagrams 6, 7, 8, 9 and 10. It will be observed
that the maximum lift
for the three parent
at-terboards (Diagram 6)
will be reached
at asmaller angle of attack
than during the open
water tests. This effectmight have been expect-ed since stalLing is
de-layad by 3-dimensional
effects.
As for the open water
tests the maximum
Lift-drag ratio will occur at an angle of attack less
than 20°, and the
rectan-gular otterboard is still
inferior to the other two. Streamlining the
lead-ing edge of the
otter-board will increase the
Freestream tests, otter
board B 3. Force
coeffi-cients and lift-drag
ratio of otter board as
function of angle of
48-
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Diagram no. 5. Bottom test, otter board B 1, B 2.B 2. Force coefficient of otter board as
function of RelJnolds' number.
Et-drag ratio about 6 í at the stalling point
(Dia-gram 8). Further the stalling angle is increased about 4.
The effect of the slot in B 2 is comparatively small as shown in Diagram 9. At the point of maximum
lift, the
slot seems to increase the lift/drag ratio
about 5 %.
Removing the otterboard fittings has a very marked effect on the lift characteristics as shown in Diagrams 7 and 10. The lift is increased by 10 % - 15 %, and
the lift/drag ratio is increased by 5 % - 7 96.
Fur-ther the stalling angle is reduced 3° for B 2. The
in-crease in drag may be the net result of a reduced
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M IIk ftll1 IDiagram no. 7. Bottom tests, otter board B 1. Force coefficient and lift-drag ratio of otter board as function of angle of attack. frictional resistance and an increased induced
resi-stance.
The streamlines for the otterboards at the bottom are shown in the Photos 3-10. From the pressure side streamlines of B i (Photo no. 4) it will be noticed that the flow at the keel of the board has more
2-dimen-sional character than at the top. This will explain
the increased lift/drag ratio during the bottom tests. At 28° angle of attack this increase amounts to about
6 %. The flow at the suction side is very confused due to eddies being developed here.
The difference in open water and bottom flow for B 2 may be observed from the Photos 1, 2 and 5, 6.
It is interesting to note that despite the slot effect,
there is reversed flow at the suction side of the keel of the board during bottom tests. However, these tests were run at the stalling angle, and large eddies may be expected at this point.
From Photos no. 7 and 8 it is observed that closing the slot of B 2 results in increased eddy formation at the suction side. The flow at the suction
side of B 3 seems to be quite stable (Photo
9 and 10). However, this test was run at an angle of attack of 29° compared with the stalling angle 36°.
COMMENTS TO THE TEST RESULTS
Let us first consider Diagram 2. It may
be observed from these curves, valid in open water, that otterboard B 3 has the highest L/D ratio, whereas B 2 has the
highest lift-coefficient. Which is the best
otterboard it not obvious. However, we
Diagram no. 6. Bottom test, otter board
B 1, B 2 and B 3. Force coefficients and lift-drag ratio of otter board as function
of angle of attack.
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may compare the boards on a basis of
constant area or constant lift-coefficient when the speed is regarded as constant.
In that case we draw a horizontal line through f. ex. the lift-coefficient of B 2 at a = 300. Where this line crosses the
CL curves of B 3 and B i we proceed ver-tically downwards to the respective L/D
ratio curves. We then f:ind that B 2 is approximately 9 % better than B 3 and
approximately 40 % better than B 1. The corresponding angle of attack of B 3 and
B i
is approximately 350 and 36.5° re-spectively.We may also compare B 2 and B 3 on a
basis of constant angle of attack, f.ex. 30°.
If the two bards shall have the same lift at this angle of attack, we find by oonsi-dering the definition of lift-coefficients, that the areas of the two boards must be
inversely proportional to the
lift-coeffi-cient, i.e.
A3 CL2
A2 CL
At a =
30° the area of B 3 must be approximately 12 % greater than the area of B 2, but at the same time its LID ratio is approximately 7 % better. During this comparison the speed is of course keptconstant.
Proceeding to Diagram 3, we find that based on constant iift-coefficient (or
con-stant area) the otterboard B 2 a with a
leading edge slot lis approximately 25 %
better than B 2 at a
30°. ComparingB 2 a with the rectangular otterboard B i of Diagram 2 we find that on a constant :area basis, the board B 2 a at a = 30° is
approximately 80 % better than B 1. The
corresponding angle of attack of
B i
isapproximately 39°.
In connection with Diagram 6 it may be
observed that the maximum
lift-coeffici-ents are smaller than those of the open water tests, and further that maximum
lift is reached at a smaller angle of attack. Both these results are in agreement with
the observations of Dickson on tests by
Gawn and Yakovlev.
Comparing with Diagram 2 we find that
at an angle of attack of 30°, the LID ratio
of B 2 is slightly better under bottom
con-ditions than under open water condition. The same CL can of course be obtained at
a lower angle of attack, i.e. 27°, and at
this point the LID ratio
is still much'better.
20 25 30 ' 55 40 ' 45
Diagram no. 8. Bottom tests, otter board B 2. Force coefficient
and lift-drag ratio of otter board as function of angle of attack.
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B 2 e. STREAMLINES IN OPEN WATER. a = 28°. Re = 0.81 X 10°
Photo no. 1. Suction side.
B 1. STREAMLINES AT BOTTOM. a =
0°. Re = 0.805 X i0.
Photo no. 4. Suction side.
B 2. STREAMLINES AT BOTTOM. a = 28° Re 0.81 X 10°.
Photo no. 5. Suction side.
Photo no. 2. Pressure side.
Photo no. 5. Pressure side.
STREAMLINES AT BOTTOM. a = 28°. Re = 0.81 )< 1O.
Photo no. 9. Suction side.
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Photo no. IO. Pressure side. Photo no. 7. Suction side. Photo no. 8. Presszre side.