A Station of the
Department of Scientific and Industrial Research
Lab.
v.
Scheepshouwktrncle,
See note inside cover
Technische Hoescnoo!
SHIP REP. 46
e I.
January1964
NATIONAL PHYSICAL
LABORATORY
SHIP DIVISION
A FIRST LOOK AT SOME WAVE AND WIND DATA FROM TRAWLERS
'by
Crown Copyright Reserved
The cource, muut be
acknoWlc4ge4-This report is a copy of a paper presented to a meeting of the
International Commission for the Northwest Atlantic Fisheries
held in Rome Injanuary 1964
Approved on behalf of Director, NPL
A FIRST LOOK .AT SOME WAVE AND WIND DATA FROM TRAWLERS
by
- J. A. Ewing and N. Hogben
CONTENIS
Introduction The Ana].ysis
I The Observations
ta processing
Choice of season and. area
4.. Tabular presentation of results
50 Graphicál presentation of results
6.
Study of the relations between wave he:Lght/Beaufort Numberand wave length/wave length calculated from wave period
Note on App].ications
Concluding remarks
Aciow1edgments References
INTRODUCTION
Seakindliness is particularly important for trawlers. Model tests in waves
can greatly help the designer to achieve good. seagoing qualities but they must be coupled with knowledge of the sea conditions both average and. extreme to be
encountered in service. At present, knowledge of conditions in the northern fishing grounds where distant water trawlers operate is vexy inadequate. A
scheme has therefore been organised (in collaboration with the White Fish
Authority and the Ministry of Agriculture, Fisheries and. Food) for collecting systematic sea data observations from selected. trawler skippers. Accounts of this scheme and the preliminary studies made to explore the reliability and the practical problems and techniques of observation have been given in the
refer-ènces
(Hogben
and. Chaplin,1961;
Hogben,1962;
Hogben,1963).
The presentpaper takes a first look, at some of the observations which have meanwhile been
collected from the selected trawler skippers. The analysis carried out of the data so far available was intended mainly to test
analysis
procedure and toexamine, various forms of presentation and interpretation. It has. been thought
worth recording however because already the outline of a useful picture of sea
conditions is appearing.
ThE ANALYSIS The Observations
The trawler skippers who have kindly agreed tO cooperate in this research
'have been supplied with guidance notes. and. accessories such as stop watches to
help them in making the observations. The guidance, notes and procedure
recom-mended have been based on a study of the Marine Observer's Handbook and on the experience gained from the special visual observation trials (Hogben,
1962).
The observations are recorded' on data sheets using a "ticking" principle for
ease of subsequent coding onto punched cards. A sample is shown (Fig. i) and
it will, be seen that there is space for 15 sets of observations on each sheet.
Data processing.
The punching of the cards is being carried out by the. Combines Tabulating
Installation of the Stationery Office and each set of observations is punched
on one card, the cards are being sorted using a machine in Mathematics Division, National Physical laboratory. At the time of writing (June, 1963) there are
about I ,.i 00 punched cards recording observations mainly from 1. trawlers.
Choice of seasonand area
Each card bears the date, time and. geographical position of observation
and for convenience the cards are sorted (following the practice of the
Meteorological Office) into months and, classified according to the Marsd.en system of numbered 10 degree squares of sea area. For this preliminary analysis it was decided
to
choose those cards for the months of Décémber, January and. Februaryand for the area shown in Fig. 2 wluch covers Marsden Squares 217, 218, 219, 251,
252, 285, 286 and.
287.
The number of cards satisfying these conditions was foundto
be 331i; the subsequent sortiig operations were carried out using this groupof cards.
14.. Tabular presentation of results
Tables 1,
2, 3
and. l. show the distributions of wave height/Wave period, wave height/wave direction, wave direction/wave period. and. wind direction/ Beaufort Number respectively.These four tables represent the basis for Yig.
2 and.
contain more2
observations is less than 334.; this is because some entries on the data sheets
did not have an.observatiori.of one of the two variables, concerned.
Graphical presentation of results
In addition to tables of the results it is desirable to. have a picture of
wave and Win4 conditions occurring in various sea areas; Pig.. 2 has been con-.structed. with this in view.
The small graphs shown in Fig. 2 have been drawn using information given in Tables 1-4..
Graph (a) shows the 2-way cumulative frequency curves for Wave height and wave period together with three wave period/wave direction roses.
Graph (1,) gives information on the steepness of waves - the curves show the pro-bability of exceeding a given wave height when the wavelength is specified.
Graph (c) shows the Beaufort Nuntber/wind direction rose. Below the rose is a small table giving the frequency of occurrence of various Beaufort Numbers for aU wave directions.
In almost all case the wave and wind. directions given in each entry of the data sheets were found. o be the same. It was therefore not considered necessary to give roses of wave hight/wave direction corresponding to Table 2 since the
Beaufort Number/wind d2.rection rose was available in graph (c), and also there was found. to be good. corelition between wave height and Beaufort Number
(see Pig.
3).
'Study .of the relations between wave height/Beaufort Number and wave length/ wave, length calcuJAted from wave period
A separate study was carried out ta investigate the relationship between
wave height/Beaufort Nuiiber and wave length/wave length calculated from wave period. All the cards vailable. at, the time were used and. sorting operations
were carried. out. Tabls 5 and 6 show the results. .' .
-6.1 Wave .height/Beaufort Number
Prom Table 5 the mean wae height for each. Beaufort Number was calculated. and. the results plotted in Pig. 3. The number adjacent to 'each point in Fig. 3 gives, the number of observations at that Beaufort Number. A' curve 'has been
drawn through 'the point up to Beaufort 9.
This figure cou].d. be used to pred.iot the wave height in a given area if the
wind force is known. , .
6.2 Wave length/wave 'length calculated from, wave period
Table 6 was used to determine the mean wave period corresponding to each,. observed wave length. The wave length corresponding to the mean wave period was the calculated using the classical formula
2
= where A - aye length wave period
Fig. 4. shows the graph of wave length calculated from mean wave period against
ratios Of
observed wave length 1 1 2
-
=
-,-and-wave length from mean -,-and-wave period 3 2 3
It is seen that all the points lie between the two lines K 1,13
an K
2/3and that at short wave lengths the points lie close to the line K = 1/3. This finding is in agreement with results shown in (Hogben,
1962).
The value of K depends on the nature of the wave spectrum. When the spectrum contains only a narrow band of frequencies and is also long-crested then K is close to unity The theoretical value of K for a Neumann spectrum
(modified by a factor cos to give the angular dispersion of the waves) has
been given (Pierson,
195i)
as K =
2/3.NOTE ON AP'[JGATIONS
An indication of the practical ajplications of data ofthis type has been
given (Hogben,
1961)
but it may be useful to include here some further comments. Data about sea conditions in the fishing grounds are of interest from manydifferent points of view and no doubt will be of value to trawler operators as well as to designers. Here in Ship Division, NPL, they are to be used partly
as. information to be applied to miscellaneous design problems and to be available for consulting purposes. The most immediate and. clearcut application isto the
planning of wave generation..
In the tank in Ship Division, tests studying such features as speed loss,
motions and wetness can be conducted in regular or irregular waveS as occasion
demands and the irregular waves can be given any required spectral and.
statistical characteristics (Ewing,
1962).
Thus for example it is possible to generate spectra which represent the sea likely to be generated by a given wind.force (accorin tO a. Darbyshire
(1961.)
or Neumann(1953
formulation). Spectracan also be. set such that the estimates of mean height and period likely to be
made by an observer will have any chosen values. Hence it is possible to
generate wave spectra representing average or extreme conditions in a given area interms of observed wave and wind, data such as have been described.
CONCLUDING REMARKS
it would. be premature to draw any elaborate or firm conélusions from the
sample of data so far ana].ysed.. It is encouraging however to find already a meaningful picture emerging in a form which has direct application to the
p].anning and interpretation of trawler tests
in
waves. It is also of interest to note results such as the relation of Beaufort Number and. wave height in Pig. 3 and the relation of wave length and. wave length calculated from Wave period in Fig. li which have a wider and. more fundamental sigzificance.ACKNOIEDGMEIff
This paper is presented by permission of the Director of the National Physical laboratory and the Chairman of the White Fish Authority. Grateful
acknowledgment .is made for the cooperation of the
Mini
Mr of Agriculture,Fisheries and Food, the Combined Tabulating Installation of the Stationery Office
and. Mathematics Division, NPL.
The authors wish to express particular appreciation to all members of the above organisations who contributed to this work and also to the trawler
sppers Captain W. March (Portia), Captain Wood (Arctic Vandal), Captain W. C. Hardie (Arsenal), Captain J. Cower (Cape Adair) and
Captain E. A. Binnington (Ernest Holt) for their patient efforts
in
collecting the data.REI'ERENcES
D&RBYSHIRE,
I. 1961 - The
oxie. dirnensional
wave spectrum.in the Atlantic Ocean
and. in coastal waters. Conference onOcean Wave Spectra,
Easton,Marr1rtntl, USA.
EWING, J.
A.
1962. -Th generation of
discrete wave spectra. in a ship tak.Ship
Division Report35.
HOG.BEN, N. and. CHAPLIN, P. D. I %i A note on sea atate and 'seakeepin studies
on th research trawler Ernest Holt.
PAO Research Teasel
Forum,ToIcyo.
HOGBEN,. N. I 961 -
Seastate information and.
shipdesign..
MarineObserver,.
Fanuary
1961..
.HOGBEN, N. 1962. Sea
state Observation studies on the s.s.
Cairnd.hu and.r.v Ernest Holt.
Ship
DiviaionReport 32.
HOGBEN, N. 1963
Sea tate'stdies at the
ShipHydrodynamiàs. Laboratory, Fè].thm.
Marine
Observer, June 1963.
.. .'NEUMAIIN,.
C. .1953 -
On ocean wavespectra
and., a new method 'of.forecasting wind.generated sea. Tech. Mein. 13. Beach Erosion Board..
PIERSON, V. J. 1951 - .An interpretation of the observable properties of taea' waves in terms of the energy
spectrum
of the Gaussian record. Thañsactions of the .Aierican Geophysical UEiion, vol.35, no.5.'
TABLE I
WAVE PERIOD (sEc)
O-4. 5 6 7 8 9
10
12
14.Totals
o( O.00ni)
Ii
11i( 0.3lni)
13 5 2 .222
3( c.91rn)
2312.
9 72
53
5(1.52m)
7
10
6 4.i8
8
7
60
7( 2.l3rn)
2 4. 4. 5 92
2 289( 2.74zn)
4. 3 6 4.16
235.
ii( 335m)
1 6 3 9 322
13( 3.96xn)
2
7
73
19
15( 4..57m)
1 25
Ii
3
123
17( 5.18m)
1 13
5
19(5.79m)
I2
5
1 921( 6.4.Oxn)
22
1.
5
23(7.Olm)
1 3 15
25( 7.62m)
1 2 3 627( 8.23ni.)
1 4. 1 629(8.84m)
22.
31( 9.4.5m.)
I I3.3(10.06m)
2 . 23(1O.67m)
. 27
937(11.28w)
1 23
.39(11.89m)
. 2 4.4.0(12.19m)
I
2 34.5(13.72m)
. . . I I TOTALS 54.29
25 22 4.7 4.969
31 8 334.TABLE 2
WAVE DIREcTION (nEc.)
000 00 060
090 120 150 180
210
24.0270
0O'330 Totals
o( o.00)'
. 21(O.3Ini)
1 2 2 5 2 2 1 1 2, 3 213(0.91m)3 97
8
3
'23
2 125 6.51.
( 1.52w)
110
15
3 2.3
2 1 3 li. 4.10
58
'7(2.13m) 336.2
153
2 12
28
9( 2.74)
'2 2 7 - 1 1 6 4.7
3
35
il( 3.35rn)
3 17
6 1 1 322
13( 3.96m)
2 12
1 . 1 2.5
19
j5(4..57in)
2 4.'1
1 1 5 2 1 6 23ii( 5.18m)
.. 'I
I ' 3 . 519( 5.7n).
1 '1.
1 1 . i ' 2 2 .21 ('6.4.0w)
i
. . 1 1.5
23(7.01w)
1 12
1 525(7.62w)
1 1 13
627( 8.23w)
.29(8.84w)
' . I' 1'1
. . '., I .I
I I 1 5.2
'31(' 9.4.5w)
' , . . .I
'133(I0.O6rn)
I
. .. 'i
. ..2'.
.35(10.67w)
1 1 1 1 12
1 1 937(11,a?8m)
. . . ' . I ' ' .2
3
39(11089m)
22
4.4.0(12.19w)
2 13
(I3.72m).
i
. '.'
' '''
. . TcYA.LS25
298
1115
2028
26
31 4.3326
H
7
TABLE 3 'WAVE PERIOD (sEc)
0-4.5
6 7 891O:12.
11k.Totals
000 12 1 1 1 26
2 25.030
108
2*2
i3
2 35 060 6'3
2 5 16 8 12 3 55 0908'
2 2 2 5 3 6 1 29 120. 5 1 2 . 8 150 1 3 2 1 2 1 11' 180 2 1 1 5 2 1. 15 210 .1 2 2 2 5 2 2 . 20 24.0 1 1 .36 12.
28 270 3 , 2 1 1 6 3 4. 3 ' 3 26 300 .3 2 1'3
8 .3 65
31330'
2 3 523 11
12 4. 1 4.3 TCYPAT.R52'
27 21 22 4.7 4.9 69 31 ' 8 326TABLE 4. BEAUPORT NUMBER 0 1 2 3 4. 5 6 7 8 9 10
TotaiB
000
.7.:
1 4. 3 2 3i
21 03011
7 9 6 6 2 1 3 2 1 39 060 1 1 5 20ii
5 7 3 090 2 2 7 5 4. 1 2 4. 1 28 120 3 3 3 2 11.150.
2 2 1 2 2 1 111.
180 1.1
2 3. 2 2 3 :2 16 210 4. 123 3.3
3 2 1 22 24.04.73.1
2 17 270 3 1 2 2 8 3 2 7 4. 32 300 1 2 2 6 8 2 7 2 30 330 8 8 12 8 3 3 1 4.3 T0TAL 8 9 24.4.164.
66 33 35 31 10 2 3239 TABLE 5 BE&UPORT NUMBER 0 1 2 -
3
4.5
6 7'8
910
1112
To1s
o( 0.00n)
33 27 16 2 2 2 28l.
j( 0.3lin)
18
3.5 2616
1 1 1 983( 0,91m)
2 4.0 8938
9 1 1180
5( i.52in)
I2
14. 41 75 18 62
2 1617( 2.l3zn)
28
4.0 26 9 6 3 94.9( 2.74iii)
I 4. 29 4.2 14. 3 6 9911( 3.35n)
13( 3.96m)
3
8
35
26 131l.
10
85
6 74. 54.15( 4..57ni)
1 .3 18 24. 2118
2 8717( 5.i8ni)
1 118
1 6 27.19( 5.79m)
21(6.4.Oni)
,10
7 3 3 67
3 3 2220
23(7.Ojni)
2 6 1 925( 7.62in)
215
2
19
27( 8.23m)
12
1 1329(8.84nt)
4.2
631( 9.4.5ni)
1 12
33(10.06m)
2
2
4.35(10.67in)
9 2ii
37(11.28ni)
5 539(11.89m)
5
1 64.0(12.19m)
4.2(12.80m)
, 3 I3
I
4.5(13.72ia)
50(15.24m)
, I 2 1 I 35.5(16.76m)
1 1 2 'TOTALS 34.50 109 176
208
177
121 1C182
19
6 1 1 1085 Mean waveheiht(ft)
0 1.0
2.4.
3.8
5.5
9.5
13.6
17.8
19.3
29,4. 4.6.8
50
55 Mean waveheight(m)
0.00 0.31 0.73 1.16 1.68 2.90
4..15
5.l.3
5.88
8.96 14..96 15.24-16.76
10
PA1Th1l! 6
WAVE PERIOD (aEc)
9
10
12
14.Totals
Mèan Pé±iód.50( 15.2m)
200
16 7 1i I 5280
-.
75( 22.9m)
242
21 6 9 6 6 936.
ioo( 30.5in)
38
32
22 237
5.2
102
7.0
125(
8.frn)
3
20 17 26 25 22 LI.117
8.2
150( 4.5.7in)
I 2 5 24. 28 13 4.610
1318.8
175( 53.3m)
I 3 13 I 65
14. 14. 896
2oo( 61.Om)
5 27 14. 29 11 4. 90 .9.5
225( 68.6n)
I 15 8 11 8 4.59.6
250( 76.2ni)
I
7
18
10
11 I48
9.8
275( 83.8m)
2.t7
13 3 359.6;
300( 91 .4m)
5 13 1129
10.6
.325( 99.lni)
2 57
14.10.9
350(1O6.7n)
2 LI.10
.12,4.
4.00(121 .9in) I2
2
512.4.
500(152.4in)
I I14.0
TLLS
206.103
97 96157
I 21182
87
1074.eo 70 60 50 40 30 20 10 0 '0 20 30 40 50 eo 70 eo so
60
50
40
WAVE AND WIND CONDITIONS
DEC. JAN, FEB.
so 40 A R E A I00 90 80 70 60 0Il0 4° 30 20 I0 0 40 .3O )20 lD ALL. (a) Sec l0 272 08SRVA?IOIJ5/
WAVE HEIH?(feet) HEIG)171 WAVE LD4GH FROM OBSERVED PERIOD (A) ROSE 323 OBSERVATIONS