PROPELLER CAVITATION: SOME OBSERVATIONS
FROM 16 IN. PROPELLER TESTS IN THE NEW
KING'S COLLEGE CAVITATION TUNNEL
By PROFESSOR LENNARD C. BUBJULL, M.Sc., Ph.D.,. Vice-President
and
ARNOLD EMERSON, M.Sc., Member
13th November, 1953
Svr.iopsis.The paper discusses the new King's College Cavitation Tunnel
and gives the reyults of tests On propellers of moderately high blade-area ratiO and also on a series of merchant ship propellers having different types of blade
sections. Some observations on the singing of propellers are also given, based on
experiments made in the Tunnel Ond the paper concludes with a discussion on the use of the Cavitation TunnEl in studying ship propellers
1.Introduction
THE
King's College was completed in December 1949.
'cavitation tunnel in the Naval Architecture Department
At the end
atof the war, in accordance with a new policy of developing
research facilities within the department, the Council of the College
wasasked to approve the acquisition and installation of a small cavitation
tunnel in which systematic-series experiments into the conditions
governing the cavitation of tharine propellers might be carried out.
The installation of the larger tunnel finally erected was only made
pos-sible by the vigorous suppOrt given to the project by the Admiralty and
by the Department of Scientific and Industrial Research, in shipping
the material from which it was constructed from Germany to this countryand placing it at the disposal Of the College, and also by the interest
shown in it by the principal propeller manufacturers (Manganese Bronze
and Brass Company Limited, J Stone and Company Limited, and Bulls
Metal and Marine Co. Ltd.) who contributed most. generously towards
the erection costs.
The construction of the tunnel was carried out,under a special arrangement, by Vickers-Armstrongs Ltd., Elswick Works, who were responsible not only for all the structural alterations made but also for the electrical installation instrumentation, and the model propeller drive. Special tribute must be paid
to Lord Eustace Percy (now Baron Percy of Newcastle) who as Vine-Chancellor of the University, sponsored the new project with enthUsiasm and made potaible the erection of the tunnel in an existing building at the College, and also to Mr. G. McCloghrie, Assistant (nOw Deputy) Director' of Naval Construction,. and
Dr. R W. L. Gawn,
. Superintendent of the Admiralty Experiment Work,Hasiar; who gave every possible assistance from their own experience, in
con-nexion with the design of the tunnel and it 'equipmeiit. V
,when the tunnel was. fin11y taken over from Vickers-Armstrongs Ltd.,, in
December 1949, the circuit was completed and it was generally in full working
A CHEF
LaS,
v. Sdeurnde
122 ?ROPELLER CAVITATION
order, but there were still some small air leaks in several of the joints, and the new model-propeller drive had not been tested. To carry out satisfactory
model-propeller experiments it was first necessary to determine the hydrodynamic performance of the tunnel as erected, With the view of absorbing as economically
as possible the power available; to calibrate the water speeds obtainable at various impeller revolutions, to study and improve the distribution of velocity across the measuring section, and generally to calibrate the thrust, torque and
revolutions gear, in order to ensure that ac urate measurements could be made. To this eid, and to take charge of the running of the tunnel and the development of other research facilities, Mr. Emerson was appointed to the staff of the Depart-ment in February 1950; together with one research assistant, one draughtsrnan and a mechanic. This constituted the staff working on the tunnel until December 1950, by vhich time a considerable amount of testing had been carried out and
the initial calibration period could be considered to be completed.
Since that time, in the light of experience gained from this first year of testing,
important modifications have been made to the model-propeller drive; the driving unit and the thrust- and torque-meastiring gear have been re-designed and mounted on a single base to improve the alignment, the stroboscopic and
flash liglting units have been made more effective, and the technique of
photo-graphy in the tunnel has been developed to a satisfactory level. Apart from
these improvements, most of the available time has been spent on four
model-propeller series. One series is concerned with three-bladed Admiralty-type
propellers having segmental blade sections; the second, with four-bladed
merchant ship propellers designed with sections of uniform-velocity type, while
the third, which covers three important blade-area ratios (namely P85, 70 and
55), is concerned mainly with the effect of thickness changes, pitch-dintribution
variations and blade shape, and the fourth is made up from models for which interesting full-scale results are available, with the object of correlating the
observed phenomena in the tunnel with the results Of particular experience on ships.
These series have been designated KCA, KCB, KCC and KCD, respectively,
and it is hoped that they Will provide valuable information for the design of propellers covering a wide range of types, working under both cavitating and
non-cavitating conditions. The KCA series propellers have been designed
generally in accordance with the requirements of Dr. R. W. L. Gawn, and the
KCB series, which was initiated under a research grant from the Department of Scientific and Industrial Research, was drawn up in consultation with Dr. J. F.
Allan, Superintendent of the Ship DivisiOn, NP.L. The KCC and KCD series
have been developed in collaboration with a small Advisory Committee,
includ-ing representatives from the marine-propeller industry. It will be some time
before these research programmes ate completed, but it is hoped that this work will eventually provide new basic design data and with the necessary theoretical
study, will lead to closer correspondence between calculated and measured
model-propeller forces, and, in particular, of calculated local pressures with the observed cavitation patterns.
In the, meantime, and in accordance with the condition made by the Council
of King's College that the Tunnel should be mainly used for fundamental
research, the results of which should be freely published, it is felt that two groups oftests will be of immediate interest, and these are dealt with in the present paper. In connexiOn with the series of propellers suitable for liners or heavily loaded single-screw applications, the programme included three-bladed propellers for
high blade-area ratios and four-bladed propellers at lower blade-area ratios. At
an intermediate or change-over blade-area ratio, results with three- and four-bladed propellers have been supplemented by tests with a five-four-bladed and a second three-bladed propeller, all of the same general design and these are
?ROPELLE1 CAVITATION 123
Before starting the main series of sthgle-screw-shi propellers, preliminary tests were made with four propellers differing only in type of blade section, and
these are reproduced in Section 3c. During some of these tests "singing" was
heard under various conditions in the tunneL This has been given further- study,
and some preliminary results and conclusions are given in Section .4. Finally,
the various doubts and approximations in applying, cavitation tunnel results
to the ship have received some consideration and these are discussed briefly in Section 5.
2.Description of Tunnel
The tunnel was made from parts of a horizontal closed-circuit flowtank built
in Germany for acoustic tests on underwater
weapons and scheduled fordestruction in 1945. This tank was 70 ft. long by 20 ft wide, and it included
in the circuit a rectangular reservoir
15 ft by 13 ft, in which the acoustic
experiments were made. As shown by the outline drawing reproducedin Fig.I, this apparatus, which was made for a different purpose, and with no provision for-propeller drive, bears little resemblance to a propeller cavitation tunnel, but use of parts of this material, and alterations to others, allowed the construction of
a cavitation tunnel big enough for tests on large model propellers, at low first cost, and without undue delay. It imposed considerable limitations in design, and, because so much of the circuit has only a small increase in area from the
measuring section area, the flow- losses are correspondingly high. The surface
finish and matching of the joints were of low standard fOr a cavitation tunnel working under reduced pressures, and consequently considerable delays have occurred in eliminating small air leaks. These two disadvantages are, hOwever,
more than offset by the size of the measuring section and by the advantage of being able to circulate the water in both directions at almost fill power, ie. in the usual way for propeller-cavitation tunnels, so that the test corresponds to the propeller advancing into '-' open water," -and in the opposite direction, so. that the water approaches the propeller along the driving -shaft as it does
"behind" the ship.
-An outline general arrangement of the tunnel, which isapproximately 40 ft. long by 35 ft. high, and now stands in the Vertical direction as is usual for
propeller-cavitation tunnels, is given in Fig.- 2.
In the "open" direction, and
starting from the large section at the top left hand corner, the water passes
through a 4" grid honeycomb 18" long and through a 5 tO I Venturi contraOtion
mto the measuring section which is rectangular in cross section 40" deep by
32" wide and 12 ft. long, with rounded corners, having an internal cross-sectiOnal
area of 87 sq. ft.
At the corner behind the -model propeller, the section is splitinternally into
two parts, and the model propeller shaft leaves- the -tunnel at the breeching piece;
The water is guided round this corner by five curved plates. In the downward
leg the two channels are rejOined following a long expansiOn formed by internal
plates fitted in this vertical limb, and the water is then turned by three curved
plates into the lower limb. Here there is a change of section from rectangular
to circular to accommodate the-impeller.- -
-In the- last part of the circuit alterations have been made since erection.
Behind the impeller there were two sets of contra-blades forming a support for
the impeller shaft and starting to tuin the water round the corner; In the rising
leg there was a rapid expansion to the top corner with the three splitter plates. Initial tests showed that, the resulting flow through themeasuring section was unsteady, and that there was about 15 per cent. increase invelocity fEom the middle to the top of the tunnel (see Fig. 3a). This was eliminated by cutting
away parts of the contra-vanes behind the impeller, adding a curved plate at the
bottom corner, and subdividing the expansion
in the rising limb into eight
compartments by a coarse honeycomb, or "egg box." - --14
PkOt'ELLER CAVITATIONIn the "open" direction the maximum speed is 24 ft. /sec.; this value could
perhaps be increased to 25 ft. /sec. by increasing theimpeller pitch setting and
accepting cavitation on the impeller blades at low cavitation numbers, or by making a new impeller.
In the "behind" direction the present maximum
speed is 17 ft. /sec.the difference is due to the great energy loss in the expansion through the venturi at the end of the measuring section. The velocity
distribu-tion in the measuring secdistribu-tion in "open" and "behind" directions is shown in
Fig. 3d and e. Recently, plates have been added on the vertical centre-line above
the model propeller shaft, joining the shaft strut to the breeching piece. This
will be a permanent structure, and, for" behind" tests,extensions and additions
will be made to these plates to obtain a range ofcharacteristic ship wake patterns.
The tunnel is lined with a bitumen composition to cover the uneven steel
surface. Once this lining is damaged thrre is a tendency for it to flake off, and
sodium nitrite (1 per cent.) is thórefore added to the water to
act as a rust
inhibitor. To obtain a high degree of clarity the water is continuously filtered.
The use of the sodium nitrite to prevent the rustingof exposed metal surfaces, and of the Metafiltration filter to clear the water and to keep it sparkling, has
removed the serious problem of having to change the water several times a year. The water in the tunnel has a density of 1 950slUgs/cub. ft. and a surface tension
about 10 per cent. less than tap water.
The power for the model propeller drive is supplied by a 100-h.p. electric
motor. The motor drives one end of a
variable-speed gear hydraulic pump;the other end of the pump drives the propeller shaft through an epicycic gear
box. This system makes available practically the full horse-power over a wide
range of revolutions, in both directions of rotation; The torque reaction on
the pinions of the epicycic gear box is measured by weights and balances at the
end of lever arms. The torque due to the model propeller is the measured torque reaction corrected for secondary gear losses and for the shaft friction losses.
The secondary gearing losses were measured by fitting a lorry brake drum on the shaft in place of the propeller (see Fig. 4) and comparing the torque' on the brake
diiim with the torque on the pinions. The frictional torque depends on the
condition of the bearings, on the viscosity of the oil and on the shaft revolutions. The variations have been calibrated in terms of bearing-oil temperature and shaft
revolutions. Measurements are taken each time the model screw ischanged,
i.e. about once a week. The variation in friction torque is small. Thrust is
measured through a lever system connected to the shaft thrustsleeve.
Speed is obtained by reading, on a water U-tube, the differencebetween the pressure at a static hole in the large section forward of the measuring section
and. the pressure at a static hole three feet forward of the model propeller. The
use of water in the manometer eliminates errors due to inaccuracy in reading, because for the usual 18 ft./sec. water speed the difference in head is nearly five feet and 1/10 inch represents about 1/10 of one per cent. of speed. The venturi pressure drop was calibrated as a speed indicator by tests with a Pitot static tube which had been tested in Ship Division at the National Physical Laboratory. A volume mean velocity for a 16 inch diameter circle about the shaft centre happens to be the same as the velocity at the tunnel centre; so no correction is necessary for variation in velocity in the tunnel,
in the "open"
directiOn. It may be of interest to note' that the calibration of Pitot static against Venturi difference was not affected by varying the model screw loading from zero thrust to 40 per cent. slip.Static pressure at the shaft centre is obtained by connecting the static hole
in the measuring section to one leg of 'a mercury U-tube, the other leg of which is' connected to a large jar of water having a free surface open to atmosphere at
tunnel centre-line level. This static pressure reading is corrected to the value
obtained 8y calibration against the static pressure from Pitot static tube.
RevolutiOns are measured by a Dawe high-speed counter with either one or
I'ROPELLER CAVITATION 125
The air content of the water is measured by the Van Slyke method, but the
apparatus made for this purpose takes a large sample of water (200 c.c.), instead
of the very sthail quantity used by the standard instrument. This apparatus
can be seen in the photograph of the measuring section (Fig. 5).
The measuring instruments and controls are grouped so that from one position an experimenter can set, read, and. record water speed, tunnel pressure, thrust,
torque; revolutions, and bearing temperatures of the model-propeller shaft,
while a second experimenter sketches and photographs cavitation and analyses the results.
3.Model Propeller Experiments
(a) Model Propellers
The 16-inch-dialñeter manganese-bronze propellers used fOr tunnel
experi-ments are made by The Manganese Bronze and Brass Company The onginal
mtention was that these propellers would be made with a positive tolerance and that equipmónt would be developed at King's College to execute the last stages
of measuring, hand finishing and polishing. With the demand for considerablC
numbers of small propellers required for the variOus research programmes, the
Company have established a separate department to deal with them. Thanks
to this development work the models are supplied to a tOlerance of within
+0O05 inch and can be tested with6ut further treatment. As a result, the
consideration of methods to obtain a finished propeller correct to 000l inch havebeen postponed, although it is realized that this accuracy may be required for
particular investigations.
(b Tests with three, four- and five-biaded propellers
The model propellers KCD 3, KCD 4, and KCD 5, have the same total blade area (namely BAR -60) distributed on three-, four- and five-blades respectively.
Model KCD 3(N) has three blades each blade having.the same outlineas those
of KCD 4, so that KCD (N) has three-quarters of the blade area of the other
propellers. (Note: The actual numbering of these propellers has been altered
for this paper to avoid confusion of screw number and number of blades). The
propellers, which are designed for the same loading, are shown in Fig. 6.
Each propeller was tested at constant speed (18 ft. /sec.) at air-content ratio
= 02 to 03 (see Appendix for nOmenclature) and at four cavitation
numbers = 6 3, 3O, 20 and 1
The measured speeds are corrected fortunnel-wall interference to equivalent unrestricted openwater speeds of advance
using the momentum method described by Wood and Harris in R & M 662.
The results are given in Table 1 al values of thrust coefficient Kr, torque
coefficient K0, efficiency y, and corrected advance coefficient .1 at intervals of()05 in I of the uncorrected curves. The corrected results are plotted in Figs. 7, 8, 9, 10, together with sketches of the cavitation phenomena.
Tests with four-bladed propellers having different blade sections
The four propellers KCB 1, 2, 3, 4 of 0-50 blade-area ratio and unity pitch
ratio are shown in Fig. 11. They have the same blade outline and were designed
with a uniform face pitch so that the different blade sections could be measured
and shaped from a completely, machined face surface. 'Model KCB 2 has
sections similar to the Troost " B" series of propellers; KCB 3 and KCB 4 have
respectively, N.A.C.A. 16 series and N.A.C.A. 66 series sections;. KCB I was
designed using the Ludweig and Ginzel camber correction and has a hollow face
section near the blade tip. The results of experiments with these four propellers
are given in Table 2 and in Figs. 12, 13, 14 and 15. Discussion of Results
The cavitatiOn number o- is the ratio: (Static pressure at shaft centre-line, less
vapour pressure) to dynamic head corresponding to speed of advance of the propeller through the water. Very roughly the values 1 P25, 2O, 30 'and 6.3
correspond to merchant ship -propellers having a speed of advance 027 Idiots,
-126 PROPELLER CAVITATION
In eneia1 the propellers of the types considered will be designed to work at .1
values be1ween 07 and 08. The model propellers have been tested over a
wide: rang of o and 1: the approximations mentioned above indicate, the parts
of the range of importance for practical design at the moment.
The dee1opment of cavitation follows the same general cycle in each case.
Starting at the right-hand side of the-diagrams (7-10) and (12-15) in the region
of zero thrust, there is sheet cavitation extending from the leading edge on the
face of theiblade. - With increasing revolutions and constant speed (J decreasing) the extent of face cavitation decreases and cavitation appears on the back of the
blade. There are two main forms of back cavitation shown in the various
sketches: sheet cavitation from the leading edge spreading down the blade from
the tip voitex and bubble cavitation occurring near the maximum thickness of
the blade sections. Atvery high slip (low J) and low pressure the cavity covering
the back is perhaps 1 inch thick, and extends well beyond the trailing edge and
is followed by a diffuse tip vortex and strong trathng vortices nearhalf radius
Taking a ection through the sketches in the other direction at constant J the
different aj,pearance of cavitation gives some idea of the local pressures existing
at different parts of the blade.
One use of propellers of the KCD 3,4, 5 type is as liner propellers working at cavitation numbers between 20 and 3O and .1 values approximately 075. Inspection of the results in this region shows that increasing the number of
blades reduces the strength of the tip vortex and the associated sheet cavitation,
but increases the extent of bubble cavitation on the back and also the extent of
face cavitation. In efficiency, and in delay of thrust breakdown, the three-bladed
propeller shows a small advantage.
In the range of J between 075 and 080
there is a balanced choice between a four-bláded propeller free from cavitation
except for ithe tip vortex and a three-bladed propeller having a rather higher
efficiency, but with more strongly developed sheet cavitatiOn near the blade tip.
For J valub less than 075 the advantage seems to lie more definitely with the three-b1add propeller. 'The narrow three-bladed propeller KCD 3(N) shows
serious cavitation in the .1 region considered, and also shows the gain in efficiency
obtained b' reduction in blade area. Another use of the four- and five-bladed propellers of these dimensions and characteristics would be for large high-speed
tàñkers, with the propeller working at
60 and J = 0.75. From the results
given in the paper it would appear to be necessary to balance the higher efficiency of the fOurLbladed propeller and the possible face cavitation of the five-bladed,
against the danger ássociated with the stronger tip vortex on the four-bladed screw working behind the ship In heavy weather conditions, with increased
propeller slip, it would appear that the advantage of the four-bladed propeller with the same blade area, would become increasingly important, because the
thrust and torque breakdown occurs earlier (at a lower thrust and higher I
value) with the 'five-bladed screw than for the four-bladed screw, as the u value (cavitation number) is decreased.The KCB series screws, in the practical range / = 075 and o
60, show
no significant differences. Apart from this interesting though negative result,
attention may be drawn to the variation in slope of KT curves, to the increased strength of 'tip vortex with KCB 1 and to the bubble cavitation on KCB 2
This discussion of results is necessarily brief and general because it lacks the
weight and balance which will be provided by the completed series of
experiments.4.Model Propeller Noise
Early this year,. steps were taken to keep the noise from the propeller drive Out of the control and observation sections of the tunnel. During the next
set of experiments, with the KCB series propellers, it was found that high-pitched
sounds or whistles were heard. These occurred when different models were being testçd and at different test conditiors. In two cases, lines of bubbles on
PROPELLER CAVITATION 127
the blade back near the tip parallel to the leading edge and behind the blade
parallel to the trailing edge (see Fig 17c) appeared when the high pitched sounds
were heard. The lines of bubbles on the back seemed to be shaken off the
exten-sion down the leading edge of the tip vortex cavity. This showed that the blade
tip was vibrating and the estimated frequency, obtained by dividing the interval between lines into the relative water speed, was of the same order as the audible
frequency. During a test condition, when the high-pitched sound was present,
a solid particle stuck to the leading edge of a blade about 1 inch from the tip (7 inch radius); the sound stopped immediately but started again when the particle
was washed off (This sensitiveness to dirt on the leading edge has been repeated
in a number of cases and one screw, KCB 2, which was accidentally nicked on the
leading edge and repaired, gave a different range of singing before and after).
The observations showed that the sounds in these cases were directly related to
the vibration of the model-propeller blades. It hasP been assumed that all similar
high-pitched sounds occurring during model tests, were due to propeller vibra-tion.
The range of frequency of the audible sounds was roughly 1,000 to 5,000
cycles/sec. Assuming a linear-scale relation for freqtiency, the corresponding
range for 16-ft. diameter ship propellers would be 80 to 400 cycles/second.
The sounds weremade by some of the model propellers working in uniform flow, representing the mean service conditions of ship propellers in the variable wake
behind a ship. It seems reasonable to relate the model propeller sounds to ' singing" propellers.
It is known that propellers can be made to vibrate, the mode of vibration
depending on the exciting frequency. Each propeller model produces the same
characteristic sound at different water speeds, propeller revolutions, and
pres-sure. Sounds covering a wide range of frequency have been produced by
differ-ent propellers. There does not seem to be any possibility of excitation by
resonance with frequencies occurring in the tunnel flow or propeller drive.
The first observations of singing were made during the standard tests with
model propellerssets of experiments, each at one cavitation number were
made at constant water speed with measurement of thrust and torque and
observation of cavitation phenomena at different revolutions. It was noticed
that the conditions under which singing occurred could be deflited by the advance
coefficient J and the cavitation number o.
If a propeller sang at I = 090 and
a- = 40 when tested at 18 feet/second (and 900 r.p.m.) it also sang at the same I value when tested at 12 ft./sev. (600 r.p.m.) if the pressure was adjusted to
give a- = 4-0. The singing at the lower speed seemed to have the same sound
characteristics, but possibly less volume. As there does not seem to be any
simpler parameter to deflie a particular singing condition, results are presented
in diagrams (Fig. 16) having cavitation number as base and I as ordmate. In
each diagram the limits of visible cavitation are shown i.e. the line connecting J
and a- values above which face cavitation is visible and the line below which
back cavitation starting with the tip vortex is visible.
The "singing" diagrams show a band of singing associated with appearance of the tip-vortex, or of leading-edge, back cavitation. In KCB I the singing reaches maximum loudness and then stops as the tip vortex becomes visible. The occurrence .of maximum amplitude just as the tip vortex cavity appears seems to apply also to KGB 2, KGB 3, KGB 4, KCD 4 and KCD 5, but the
singing persists after the cavitation is visible and in the cases of KGB 3, KCD 4,
and KCD 5, there is a separate band with appreciable blade cavitation and a
well-developed tip vortex. KGB 2 and KGB 3 show a band associated with the
visible face-cavitation line. KGB 3, KCD 4, and to a less extent KGB 4, sing
in a considerable part of the non-cavitating area. Some of the propellers
also "sing" when at rest with the water movingcorresponding to a ship
"stopping."
In the case of KGB 2, the extension of the tip vortex down the leading edge
128 PROPELLER CAVITATION
in which the cavity forms, and either by its formation or by upsetting the separa-tion at the trailing edge, deflects the blade; as a result the incidence to' the flow is
reduced and the vortex no longer cavitates. This cycle could also occur when
the cavittiOn was incipient, and probably not visible, and if the forces were created at any antinode of the modes of vibration of the blade, singing may be
present. This could be accepted as a possible explanation of the tip-vortex
band of singing; or of the face cavitation singing, but cannot apply to the
middle of (the non-cavitating zone nor to the singing with the screw stationary.Experiments have been started to determine the vibratioh patterns
corres-ponding t the recorded frequencies. Some points of interest may be mentioned
at this stage. The frequencies recorded are those corresponding to combined
modes and not to the simple flexural or torsional modes; the modes of vibration
occur amdng those produced by excitation at arbitrary frequency, eg by dr CO2 on the blade; small pieces of plasticine on the leading edge reduce the amplitude 'of vibration if placed at antinodes
These observations may perhaps be summarized as
f011ows:-Theinging of the model propellers reproduced so many of the
character-istics Of singing ship propellers that it is reasonable to use models to
examine the nature of singing.
Theie is clearly one form of singing which is associated with the formation of the tip-vortex cavity.
The singing consists at any particular condition of a combination of. I, 2, or 3 frequencies rather than of a pure note
Theie is evidence to suggest that in some cases only one blade is vibrating
or eciting vibrations.
The sound is affected by fine particles on the.leading edge.
It is also damped, or not excited, when there is considerable cavitation on the blade.
6.Conclusion
The paper has described the Cavitation Tunnel at King's College, and its'
use in ship propeller problems. As in many cases of practical hydrodynamics,
which do not permit a' complete theoretical treatment, model experiments can serve two purposes: they can be used to obtain an approximate solution to a simplified fom of the problem, or they can be .used to represent the fullscale
system as cldsely as possible and the observations or measurements on the model extrapolated 'y some means. The emphasis in the work so far described has been on the first purpose, i.e. to obtain consistent measurements on model propellers in a uniform 'stream, so that using model-scale data it will be possible to develop
an approximte solution of the local conditions on the model propellers.
The 16-inch-diameter prOpellers are large enough to be manufactured
accu-rately. For this size of propeller, and the usual water speeds, the
propeller-blade sections operate under conditions clear of the major irregularities of 'scale effect" which occur at lower Reynolds Numbers, and it has been found
that experiments at constant speed and varying revolutions defiuie the same curve
as experiments at fixed revolutions and varying speed. The air content of the
water can sometimes affect the results at reduced pressure. For the 16-inch-diameter proellers so far examined there is no measurable variation in thrust-torque coefficients with variatiofi in air-content ratio from about 05 (at which value the molel cannot be seen through the air bubbles in the flow) to 02 at which the strehm is clear. Within the range of conditions under which the tunnel is operated th results form a reliable basis for checking approximate theoretical
solutions. ' .
This programme of tests will continue, but ,other experiments are in hand
which come into the second category The full scale propeller operates in the
- COefflcie'zts: - T/pn2JY KQ Q/pn2D5
./
v/nD KT/KQX J/27T cr(pe)/q
-.I- ...
Thrust coefficient Torque coefficient Advance coefficient Propeller efficiency Cavitation number Mr c ntent number PROPELLER' CAVITATION 129screw works in a uniform pipe flow By running the tunnel in reverse, the model
screw can be placed in a "behind ship" position with the water approaching
the propeller along the shaft.
(The photographs illustrating, cavitation inmodel propellers working in the Tunnel, Fig 17 show in the behind direction
the de,yeloped boss vortex cavity which is absent in the normal open water
tests) The plank shown in the tunnel outline joins on to the breechmg
piecO in the thunel sO that in effect it extends from just forward of the propeller
round the top corner and half way dOwn the vertihal limb. It is intended that
this plank
or 'deadwood
will be modified until characteristic ship-wakevariations are obtained Just as the first method of using the tunnel is a corn
bination of theory and experimental results, so the Second method is a
combina-tion of model experiments with full scale data Provision has been made for
testing in the tunnel mOdels for which cavitation erosion histories are available. The early results of these comparisOns are very encouraging. KCD 4 is a model
of a twin-screw liner propeller with service conditions
= 25 and / = O75.
After a number of years in service there has been a slight roughening of the face on a small area of abOut 2 inches by 5 inches, on a total blade area Of 187 sq. ft., situated near the leading edge at 75R and in the tunnel cavitation (see Fig 17d) persisted in this region on the model when the rest of the blade was completely
clear. The second comparison is indirect. Heavily loaded single-screw ship
propellers not dissimilar to KCD 4 working in the region o = 6 0 J = 0 75 tend to roughen on the back near the tips The open water experiments show
the tip vortex cavity only. The wake variation is necessary to give the more accurate pictures on the model scale It is felt that during the next few years
the emphasis will move on to tests in the behind ship condition
SYMBOLS
D Diameter Of propeller
T Thrust of propeller
Q Torque of propeller
V Speed of advance of Propeller
n Rate of revolutions of propeller
g Acceleration due to gravity
w Specific weight
p =
- Specific massV Kinematic viscosity
Static pressure at axis of propeller
e Vapour pressure of water
Air content of water
Air coiiteflt Of saturated distilled water at atmospheric pressure and
Model KCD.4 TABLE 1 Model KCD 3. CavitatlonNo.
63
30
I20
125 Uncorrected JJ
KT KQ ,J
K K0 ,j
K K0 ij
K K0 50 V '576 0226 o::o357 578 0'579 0201 0.0334 0556 0581 '015300264 0538
0586 0104
00195 049965
629 0324 6230629 0198
00324 0612 631 162 0272 600. 638 02O1 55T70
681 177 0290 661 -682 164 0276 648 686 116 -0208 61175
733 152 0258 690 V 736 I21 021580
785 128 0225 714 78T 121 0216 704 85 839 104 0192 V 722 V90
.95 892 .944 ()Ø056 0160 0127 661712 -V V V 105 105099 P032.7
00940059 .549 211 V.V1066
0 0 CavitationNo. V63
30
V20
I25
Uncorrected.! .1KTIKQ
0265 00415 . -480J
0479 K 0172 K0, 00287 0456.VJ
0484 KT 0126x
.JKT
K050
471 002230435 0490
0062. O01'29 0374 55 524 0 256 0 0394 541 529 0 185 0 0306 509 532 0 135 0 0238 480 538 0 084 0 0161 447 .575 0231 00358 590 578 0196 00316 570 582 0142 00251 525 586 0096 00178 50565
6290204 0O323
V .633 629 0198003i6
P626633 0i50
00262 V577638 0100
00186 54670'
V P681 0.179 00290 668 681 Ol78 00290 665682 ..0160
00272 639 689O100.00190
573 .75, .7330153 .00258
692.733 .0153
00258 P692739 0101 00194
61180.
.7850.128
00226 707 . 788 0109 O0205 .66685
840 0103 00194 710 . 840 0103 O0I94 7I90
891 0077 00160 682 . -892 0.076 00I57 687. .95 100 I 05 .945 998 1.050 1.056 0053 0028 0003 0 O0124 00084 00039 -648 529 0 V . V V 945 I -999. -l'o30ooso
0021. 0 0:0116,0007'
--
648498 0Model KCD 3N.
TABLE
Model KCD 5.
CavitaiionNo.
63
3'O 2'O 125Uncorrected J J K KQ
I
Kr KQ.I
KT KQ iI
K KQ i 50 472 0249 00394 '475 480 0155 0'0271 0'437 O485 O'112 002070416- 0491
005700120 0371
55 '525 0'254 00389 '548 530 0'167 00290 '486 535 0115 00218 450 539 0073 0-0147 426 60 '575 0231 00356 .595 '5800182 .00306
'550 585 0118 00230 479 590 0075 00157 450 65 629 0203 0'0323 630 629 0'192 0'0317 '609 -635 0123 00242513 640
0-069 00155 .453 70 681 0'177 00297 655 '681 O'i177 00292 655 '685 0133 0-0259 557 692 0'062 00153 '447 .75 733 0151 00261 675 7340144 0'0261' 642
742 0'057 0'0151 445 '80 786 0'125 00228 686 786 0'125 00228 '686 795 0053 00150 .447 85 -840 0098 00192 682 '840 0'096 0'0189 680 '845 0'048 0'0143 '447 90 892 0070 00153 649 893 0064 00147 619 896 0037 00123 '42895
'946 0038 00113 '506 '946 0028 0'OlOO 422 949 0007 00072 '147 I'OO '998 0005 0'0019 '115-
-
-
-
-
-
-
-F007
0-
0 989 0-
0 '958 0 0Cavitation No.
63
30
2'O 125Uncorrected I
I
KT KQI
K KQ iI
K KQ iI
K KQ .50
0486 0103 0'0198 040355
O525 0244 0'0380 0'534 0'531 0146 0'0255 O'485 .535 0'108 0'0202 0456 '60 0'576 0'223 00346 590 '581 0162 0'0275 '543 '585 0'115 00210510 0589 0079 00154 0481
65 '629 0201 0'0314 '643 630 0'172 00286 600 635 0'125 0'0224 .564 06400080 00155
526 '70 '681 0'180 0'0284 '686 681 0'171 0'0284 651 '685 0133 00236 '613 '690 0'080 0'0157 56075
73 0158 00256 718 735 0137 0-0246 -649 740 0079 0-0160 '586 '80 '785 0-135 0-0229 741 785 0-133 0-0229 -725 791 0-080 00164 61385
838 0-113 00200 754 - -841 0082 0.0170 -650 90 '891 0-090 O0169 '756 -892 0-085 0-0169 716 -95 -942 0068 0-0139 -740 100 -996 0-045 0-0105 -679 1M5 1048 0-022. 0-0070 :523 1-096 0-
0Model KCB 2. TABLES 2 Model KCB 1. CavIiailônNo.
.63
30
20
i25
UncorrEctediJ
K KQ i,J
K KQ ,,J
K KQ iJKT
IC 50-
049O0O00126 0377
0533 0530
-0.161 00273 O'496. 0534 01200524OT2530TO39
00218 0468 539 0076 00147 '443 '55 60 575 0239 00366 597 580 0172 00285 557 585 0126 00225 521 589 0085 00160 49865
628 0211 00328 644 .630 0181 00300 606 635 0133 00233 576 639 0088 00165 '54870
681' 0185 00293 683 6810180 00296
657 684 0139 0024O 630 689 0091 00169 590 .75 .734 0158 0O260 710734 0158
00262 705 735 0 143 00245 680 739 0094 00174 638' 80 786 0133 00227 732 786 0133 00230 722 790 0096 00180 671 '85 840 0106 00192 738 839 0095 00176 721 90 893 O08I 00156 736 893 0081 0'0156 r736 .95 P945 0054 00118 686 - 945 005I 00114 670100
P9970026 t00077
536 P998 0021 000655i4
1046 0-
1032 0-
0 C'avllatiOANo. 6'330
20
125 Uncorrected JJ
KT KQJ
K'
KQ' iI
KT ! KQI
K KQ 500480 0156 00266 0447
.55 :
0523 026O 00398
0547530 O169
00285 .499 0'534 012500222 0479
0538 O082 00157
0448.575 0'236 00358 605 580 0180 00300 .555 P584 0131 0'0231 526 589 0087 00166 0491' 65
628 0208
00321 652 630 0'187 00306 614 633 0140 00242 584 P639009i
00I75 0528 .70 6810182 00287686
68i 0'182 00295 666 684 0148 00254 .634 P689 0095 00I830569.
.75 .80 .7347860130
0155 0025500224 710 726 .734 0135 0'0257 703L 734 0151 00260 684 ! .739789. 0098 0102 00191,00198 06040647. 85840 0105
00191 .735 84O0099 00194 0681
90 .8920080 00156
729 892 007800156 0710'
.95945 0054 00120
.676 .945 0048 001l6 0623 100 997 0027 00080 .535999 O014
0'0067 0329i046.
0-.
0 1019 0-
0Model KCB 4.
CavitallonNo.
63
30
20
i'25
Uncorrected I
I
KT K0i
I
K K0I
KT K0I
K'
K0 t'5055 O'473
524 0250
0'244 O'0383 O479 O'480 0'153 00256 0'4570485. 0'116
0'02060435 0490 0066
0'0130 0395O'0390 '536 '530 0161 00270 '502 .535
0124 00215
490 .539 0083 0'0153 '46560
575 0236 00363 596 '580 O'170 00283 '554 584 0131 0'0224 '544 5890090 00164
'51965
70 628 O211 00327 645 '630 0181 0'0295 616 '635 0'137 00235 '589 639 0092 0'0169 '556 '681 0'186 0'0293 '686 '681 O'183 00294 '675 '684 0142 O0243 635 689 0092 00169 '596 .7580 ,734 0161 00261 '718 '734 0161 00262 717 .7350146 00249
684 '740 0093 00175 625 786 0135 00229 .737 '786 0135 0'0234 '722 '7900097 00182
'670 '85840 0109 00196
.743 '840 0'096 00180 711 90 '891 0'085 0.0161 '742 892 0085 0'0161 '748 .95944 0060
0'0126 '714 .945 0057 00126 '680 1'OO 105 1-049997 0'0350'009 000890.0051 '615'295 .997-
0026 00080 '515 1 '068 0-
0 1'036 0-
0 Cavitation No. 6'330
20
1 25 Uncorrected .1 1 KT K0 tjJ
Kr K0 I', I - KT K0 ,I
KT kQ '50 04830120 00216
0425 '55 '524 0'254 0'0395 540 0'530 0'168 00284 '498 534 0'126 00226 4740537 0087
0'0162 0'460 '60 5750236 00368
'5920580 0179
00297 555 584 0'132 00235 521 '586 0094 00175 '503 '65 '627 0214 0'0334 641 0'630 0187 00308 609 '635 0137 00244 566639 0095
00180 540 '70680 0192
00302 '689 06810186 00307
'655 685 0145 00255 617 '689 0'096 00183 576 '7580 734 0.167 00272 718 0'7340167 00276
'705 '735 0.150 0'0260 '675739 0096
00I84 '612 '785 0'142 00241 736 7860140 00244
716790 0096
00185 '65285
839 01'17 0'0210 .743 839 0.117 0'0213 '732 '840 0095 00185 686 '90 '8910092 00176
!736 '891 0086 00177 689 '95 944 0'066 00140 '708 '944 0'060 0'0140 641100
105 1'049'996 00370.011 00059ff0101 '.306620 '997-
0028 0'0093 477 1'069 o-
0 1036 0-
0Model KB 3.
TABLE 2Fig. 1Outline arrangement of Original Flow Tank
'ItOPELLBt CAVITAtION
,
I f
flufl
n
AINTAiIICS.
Fig. 2Outline drawing of Cavitation Tunnel
PLANK ON
cNywu
LINa.
V
136
oi.ou 105
va0cti1 TRWIUSE àt'e,i' DIECTI0NntI $350.
PROPELLER CAVITATION T09lERSE
4.T2V5S5'oniA' DscTI0N 3Etu&V DIECfloW
3v1.Y 1950. 7u1.V i950.
p7g. 3a, b, c Velocity distribution on vertical line
through shaft centre.
To?
,1
M
ii
'assI
riuvir
ThI!AIiiIII!
V
e G 4 2 4STAOAD.
POQT.CONYOU5 :0F
5PEED.
Fig. 3dVelocity distribution in "open" direction
PROPELLER CAVITATION 137
PiTOT T?AVESC
-4 PORT.
CONTOLJ5 OF SPEED.
Fig. 3e Velocity distribution in " behind" direction
4:' I0
u..u,1u.aIUI4
IUIUI__
4"ir,i__tiara
arwivFI__taaia
iuI
man
(/l___
1I\ SUf/L__I. '
aauauaam
_-..aa'aa
aa
-aI
UUUIUURIIUUI
N 138 PROPELLER CAVITATIONPITOT TAVQ5E BEHIND.
PROPELLER CAVITATION 139
Fig. 4Torque Absorption Dynamo-meter in position on prop1Ier shaft
&3 O571 o-s "I'
ii
dl
B,.'a,
c,.0a
I
a
.0* 5°
C.-003 K02
020 010 0 050 0(,0070J
080 090 tOOFig. 7Curves of Kr, KQ and
and Cavitation Sketches for KCD 30 70 040 030 J 10 ,
-Z0IZ5'
KCD3.
3B.ADES. BkR 140 PROPELLER CAVITATION 0 (0 17 050i1 400' 4 8o (cc2, :w.Y) kC . 4 SEcTIONS. SACK FACE OIDWJATBS. C-I P(cW !'014 CO.5. CII000.
kC D. 5 5EcTIo.JS. PACE 0105519ArES.
ws) Cuew I'CD. 3 5ECTIOIJS. FACE DI9IATE5. (M0) P47911 FOl co 3 & 2t4). Ia5. 54! I64&
16 DIAMETEQ MODEL PROPELLES. KC 0.
KCD 3N.[] KCD. 4fA] KCD. 5[3]
Fig. 6-Propeller Drawings of KCD 3, 4, 5, 3(N)
C4449 kC D. 3(N) SECTIONS. PACE 91205147815 (J8) S C.B.S. A S C 11
12 FG Ii
J I 5-048 1.481 .090 .006 .980 540 503 .979 .099 .041 599 9 95201.199 .009 .079 -404 .140 .130 .449 .052 .09 -025 81 4579 4027 .981 .445 478 .816 588 807 447 .095 094 4 0400 9.407 .059 .189 -292 -312 .549 .309 .049 .159 09 3 5.440 2074 .040 -049 987 410 497 409 201 .198 .007 a 5-480 2048 480 .880 400 582 -00 810 -350 530 .07I 4 4.575 4.949 .049 .999 .595 434 479 .554 406 -089 .000SC0R0YA BC 081 F12
14 J 1 3.054 1475 210 .040 .00050: .099 490 -09 542 09 O 5.926 2558 -09 .975 .404 .190 .110 III 064 09 005 5 9531 2289-031 119 178 .949 .288 -207 447 .005 .034 4 7082 3.705508 .140 285 442 .399 509 548 -11.0 .044 3 7139 9.745.042.913 .357 440 .437 .499 957 '455 .057 - 2 5719 5440 .095 .09 .486 457 .999 .910 -955 20.0 .051. -I 64008540 540 .393 .889 .034 .973 494 .406 .839 48_S I 418 C. 0 -81 F G w J 7 5-420 1.440 .020 .047 .008 .080 .089 .970 .054 .040 .09 9 3.494 4-444 495 -070 485 400 .495 .445 .09 557 583 9 3496 4407 .03: 441 477 .549 .987 .200 .446 .094 .094 4 4538 1404 .035 .494 .9_55 .341 .949 .599 -all .114 -045 3 4.9424490.949.811 .544 409 .489 -540 290 -IS? .005 8 4111 4299040 .007 495 .901 .351 409 .880 .09 .070 2 3.975 1441 .949 .395 .905 .434 .570 451 .494 .901 .004 YCOOOD Y A 5 C D 81 F 44 ,J 7 3043 1431 .09_S -098 .979 -052 .995 .047 .046 287 .09 4 5.983 4780 .010 054 .400 .449 -00 -13.4 .097 004 525 5 4478 2297 .290 498 -205 -545 -848 200 195 .409 -009 4 9.400 2.407 .044 -190 -094 -389 .375 .349 .545 .499 949 5 5.440 2o7f -945 .545 .587 471 385 .446 .395 530 .099 2 D02 2015 .045 .348 .449 .949 .952 .907 .49 .935 09 I 4.9791490.049 .979 .905 .792 .779 .914.449.309.049 sI41005 A 51 C D 11F 4
.040 .022 .050 2 -.049 .00.0 -005 .040 478 .120 .10909s50 .014.400449.559I
A S C 0 E P 4 008 .021 3 210 .932 09 6 -040 510 589.045 .079 ISO .113 .945 -954 254 l07 .l2l .9025S2DY A S C 0 E F
'-I 1 1 9 5 -4 585549 3. .042 .954 -040 81 .049 .010 .917 .043 090.440 440 052 -007 --044 198 .157 -09I A S C P B
F 4 1.1 J 7 S -a 4 --004-017 3. 010 .08l 289 2 -942 .040 -000 .040 .075 .409 .103.042.990 506.444.152.599 "Propeller Cavitation ".Paper by PROFESSOR LENNARD C. BLJRRILL, M.SC., PH.D., Vice-President and ARNOLD EMERSON, MSC, Member
Plate I
50 O81DIMAIBS. (wo) SACK 012011447125 (ne) SACK CBD44ATES. (iis) C-. OODINA'rEs.0
Fig. 8c'urves of Kr, KQ and i and cavitation Sketches for KCD 4
0 070 a.'O 050 040 O.30 .3
0
'-:
KCD4.
4 BLADES. BAR. OO.
J!
41
__fl
4
ø./
iii_
BTIr
D50 0-60070 T
080 090 PROPELLER CAVITATION 141 0 00
A 0 azo KT'00
0
/
/
\
\
KCD5,
5 BLADES .BAR 00.\
I
1?Fig. 9Curves ofKT, KQ and i and Cavitation Sketches for KCD 5
Q 5 0 4.-.
Jj
- - - _
I1
050 060 070080
090
)0O
£ 0 70 060 0400
110 142 PROPELLER CAVITATIONI
030
I
o.soKCD3(r.
3ES. B.A.R 045
Fig. 10Curves of K, KQ and and Sketches of C'avitatlOn for KCD 3(N)
0 70 o.eo 47 050 940 O3O PROPELLER CAViTATION 143
O3.
0-00 02.0 0 0o-6-3
32
2.5
S 00-i
0104 0705 0414Ii
VA(E/
041 05% 050 0(,0 0705ECTIONS USINC LUDWIEC.& )NZEL
CPsMBEK CORRECflON.
080
090
00Fig. 12Curves
of KT, KQ and i and Cavitation Sketches for KCB I'70 0 '50 040 030 110
II
'7
LEA%NGKCBI.
4 BLADES. B,A.R. 050.PESIC.NEO TO HAVE UNIFORM SIXTION
SECTIONS. ice'2 SCTIONS. CB SECTIONS. vc.4 sc IONS. 894
-
4.1 700 6.014. 014 2.0'. 14. 14 ISlo 1.511 L- -. .008' 'G 4 8 4.I8LL ORDINATES N INC4E3.
-T
C
MA. 1141010NE89- -.o.p -50847.0. 48011. C,j08140 410. 0210 0701.4.
00 IcC01 I. BACK 01402JATRS.
Ill IbIc1AIBICI EI I6lIJ '4
4CR ORP1WAT5. BACK 0RDIsJA7414. 52cR 080NArWS 0140000 AS 5014 '4001 4. 144CR 01421144110$. 4010 00094A'rSS 15-IA_IRS
J6 DIMETE
MODEL POPELLES K-C B. 1, 2 3 &.4.
PITCk 16
B.A.. O--50
4
.R BLADES.
Fig. 11-Propeller Drawings of KGB 1, 2, 3, 4
5947 A B C 0 14 . 50 I .) 7 .075 .052 .054 .008 070 .047 .050 .004 .006 3 .012 -044 .098 -I.e l4 .104 .04o .007 .007 B .040 090 -144 -740.150 484 .150 -100.078 4 .014 719 -005 -242 .250 .480 -19$-14$ 000 3 .054 -121 .477 .544 .349 446 .242 -150 -023 9 004 193 . .444 .436 .444 .304 .503 .005 I .404 -817 ... .544 444 .395 .470 -063 440.74 01 0 0 2 5 50 44 J 4 '7 '072 .034 044 047 -070 -027 .050 -048 030 -008 O -072 549 -091 - -114 -770 -204 .011 -005 007 O .010-100 .780 -19$ -799 -141 789 -729 090 .008 4 014 -440 .224 -244 -490 -070 -057 -17$ -407 -070 3 -440 -198 -245 -351 -244 .355 -372 -239 -770 010 3 .004 -250 047 -428 -408 430 387 -201-210 -044 7 028 -074 434 -503 -944 -503 -457 -949 -434 -040 0 p 00 7.4
j
7 '018 030 050 -087 .070 -044 -048 -031 -010 6 -010 089 .085 -110 -174 .724 .071 -047 .012 2 4 -04I.008 .290 .7550 -181 -346 .190 .085 -109 -440 -181 -220 -700 -205 099 -402 -044 039 3 440 -III 090 -644 -948 350 .024 -823 -048 3 o42 079 -394 -434 -450 -433 -349 -202 -244 I -3 -040 420 -520 -344 .919 -414-III -094 7 .oie .038 .059 000 -070 .029 -429 044 480 .004 0 -012 .039 .044 -lIe -114 -720 .094 .002 .044 -008 5 .012 -100 149 192 -492 -190 .104 -11$ -294 -074 4 074 14 -240 210 -200 402 234 -759 -ISO -420 3 .022 -104 -200 -395 .399 464 -540 004 -100 024 5 024 244 3$ 434 444 -423 -290 .079 -499 -059 I -025 .292 -494 -284 -844 -802 .440 -942 -244 --3927 A. 50 C -D B 4 '4 7 - .009 O -008 .009 5 .009 -002 - '004 -044 4 047 004 .005 -oIO .000 9 -040 .044 .003 .226 -014 080 074 2 -098 -041 -045 -003 015 .047 048 .192 I -143 -079 033 -058 .011 .020 .720 473 B C 01 14 F 50 74 .7 '4-1 .008 .005438 .004 0 043 .003 .204 - .008 9 .507 .240 .002 .000 .073 4 019 .018 .002 .006 -055 078 -038 042 024 001 .008 .074 .054035 .071 3 -082 030 .015 .010 -009 048 -079 -140 I -'SI. r08I 810 .003 .040 -067 .079 -709 -788 52474 50 C0 OF 50
u-I J S 4 .002 -042 5 .027 -004 .047 -013 .082 9 .049 029 .009 .002 0119 447 .704 I .724 .078 037 .004 .002 .044 -077 .169 CV. A 50 C P -E 10 .12. .I4 ,J 4 7 - - .004 -007 .00 .010 .008 .007 .003 '007 -50 -004 0 002 .047 004 431 00I .003 -000 002 -087 4 .053 -009 009 AS - .004 -008 .050 -006 .090 3 017 009 .008 .000 .004 - -007 .070 5 .096 .545 -048 -00 .00 .009 .228 .035 -042 1 -108 .040 -019 .000 -008 -000 .001 .045 -704 C TSIICI4NISS OS C 37.10 RADII. 013. SACK 0140II.IATES."Propeller Cavitation ". Paper by PROFESSOR LENNARD C. BURRILL, M.SC., PH.D., Vice-President and ARNOLD EMERSON, M.SC., Member
Plate II
88077014 I4 7 .3 C071405 AS
IIiz
I Kc54.0 050
00
LADlNG o.o KQ 002 02O -K1 OlD PROPELLER CAVITATIONgI
Al_
I'-n.
'U
Ii
ii
1,
491 0-54' 0 O-= (,3 -,0
-0-1.71 01 -71.0 0711'p
0-140 01 2II
070 080 0 90i6o
Fig. 1 3Curves of KT, KQ and and Cavitation Sketches for KCB 2
145 I- 10 070 040 030
KCB2..
4 BLADES. B.kR.050.TROOST & SERIES SECTIONS.
0O
I
050
00
070 0Fig. 14Curves of KT, KQ and 7) and Cavitation Sketches for KCB 3
7O ).50 40 30
0
3
I0-.
G.EI
KCB 3.
4 B.ADES. BAR. 050. N.A.C.A.-I SECTIONS. ol AC 0m:
AC 01233tIrlI
.
I
Q o r 0cr'-'
--- Ky
__________________
46 PROPELLER CAViTATION El 00
D.0
0.z
0I
Fig. 15Curves of K', KQ and i and c'avitation Sketches Jbr KCB 4
070 040 030 .3
0
?s
'p.,
Oc..O-___ii_
t1__
K C B
ADINCj DC.E____
FACE 015 CTiDj
I0
-o.,10V.
'a8__$
_________ 04Z.-'
T
-A- - S
-PROPELLER CAVITATION 147. 0 50 0(,0 070 080 090 100 LI £ 0 -7 050Fig. I 7(a)--KCD 4 in "Behind" Direction Shoving Root Vortex Cavity
Fig. 1 7(b)KcD 4 Showing Vortices Shed During Vibration
150 PROPELLER CAViTATrON
Fit. 17(g) Fig. 17h
fig.
1 7(d)(h) 3, 4 q,d 5 Bladed Propellers, in
Open DirectionFig. 17(e) Fig. 17(f)
Fig. 17(c)KCD 4 Show- Fig. 17(d)
ing