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)
390
3.3 Directpowermeasurements
The prognosis to full scale is made on the basis of
torque and revolutions measured during the self‐
propulsion tests at ship self‐propulsion point, i.e.
including the additional towing force for
compensation of frictional resistance between ship
andmodel.Thefullscaleprognosisismade
according
to Froude similarity law. This is the most
straightforward approach, simulating the full scale
ship trial procedure. There is no need of resistance,
form factor, propeller open water data, neither
propulsive factors measurement. In this approach,
however, the effective wake scaling is neglected,
which would influence propeller loading coefficient
and subsequently propeller thrust, torque and shaft
powerprediction.
4 CASESTUDYPRESENTATION
Below the results of trim optimisation for a large
cargo ship are presented. All three methods were
usedandresultsofallmethodsarepresented. Some
detailedanalysis of form factor, residuary resistance
coefficient, wake fraction, thrust deduction
fraction,
relativerotativeandopenwaterefficienciesismade.
Resultsoftrimoptimisationarepresentedintwo‐
ways,asamatrixofpossiblepowersavingsattested
trimmed conditions and as an optimum trim at
specificdisplacement.
4.1 Referencevessel
The vessel chosen for thisstudy is a large container
vessel. The hull form represents a typical container
vesselwithapronouncedbulbousbow,slenderhull
andacentreskegwithonepropeller.
Table1.Mainparticularsofreferencevessel
_______________________________________________
Ship Model
_______________________________________________
Length,LPP330.00 8.648
Breadth,B42.80 1.122
Maxdraught(tested),T
max 11.50 0.301
Volumeatmaxdraught,V
max 104166 1.875
Blockcoefficientatmaxdraught,CB
max 0.654 0.654
_______________________________________________
Thevesselwaschosenduetoitswell‐documented
resistanceandself‐propulsionperformancebyseveral
modeltestsatFORCETechnology.Earlierithasbeen
testedinnumerouscombinationsofdraughts,speeds
and trims. In this study, only one partly loaded
draught and speeds corresponding to a Froude
number
between 0.128 and 0.201 is described. Ten
differenttrimshavebeeninvestigatedrangingfrom‐
2.5mto2.0minstepsof0.5m.
4.2 Modeltestsresults
Figures 1‐3 present the detailed comparison ofform
factor, thrust deduction and wake fraction between
two methods, i.e full resistance and self‐propulsion
model tests
for all trimmed conditions [act ff act t]
and self‐propulsion model tests with constant form
factor and constant thrust deduction fraction with
resistance tests only at reference draught [const ff
constt].
Figure 1 presents markers representing thrust
deductionfractioninmethodwithfullresistance,self‐
propulsiontestsand
asolidline,whichrepresentsthe
constant thrust deduction fraction in function of
vessel speed from method with resistance tests only
forreferencetrim.
Figure1.Thrustdeductionfractionindifferentmethods
Itcanbeseenthatthethrustdeductionfractionfor
all tested trim conditions decreases with speed and
has rather large scatter. Furthermore, there is a
pronounced trim influence with deviations (relative
totheconstanttvalue)ofupto100%.
Figure2showstherelationbetween form factors
measured at
different trimmed conditions and
constant form factor taken into account in method
with resistance testsmade only at reference trim. In
that figure also the thrust deduction fraction from
bothmethodsfordesignspeedisshown
Figure2.Formfactorusedindifferentmethods
It is clearly visible that the form factor increases
withthetrim,i.e.withmoresubmergedaftpart.The
deviationvariesbetween1.13and1.21.Howevernot
largeitisstillinfluentialonthefinalpowerprediction
becausetheymayleadtoeffectivepowervariationsin
therangeo6‐7%.
Figure 3 presents the propeller open water
efficiency derived from analysed methods. The
efficiency is presented as a relation between
calculated from full resistance and self‐propulsion
tests at each trimmed condition and calculated from
constantthrustdeductionmethod.