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)
103
P
s
T
T
P
s
f
Figure3a.Vectoranalysisincaseofruddermidship
Duringthesmallaheadmotionofthevesselwith
itsruddermidship,becauseofthetransversethrust,
the stern of the vessel is pulled to starboard and
therebyasternofthevesselare dragged to the port
(Figure3b).
f
Figure3b.Resultantforceforthevesselmovingahead
Thirdly,asseenintheFigure4a,whentherudder
commandisgivenashardtostarboard,P
SaffectsN
in negative direction. For manoeuvring to the
starboard,thesidewisecomponentoffinalfvectoris
lessthanthecaseofrudderismidship.
N
P
s
T
P
s
T
f
N
Figure4a. Vector analysis in case of rudder hard to
starboard.
Ifruddercommandisgivenashardtostarboard,
because of the negative directed transverse effect,
stern of the vessel moves less to the port and
similarlyaheadofthevesselmoveslesstostarboard
(Figure4b).
f
Figure4b.Resultantforceforthevesselalteringitscourse
tostarboard.
However, if the submergence of the rudder is
adequateenoughandtheinertiaofthevesselistoo
high, transverse effect less considerably affect the
vessel.
3 PREVIOUSMARINEACCIDENTS
In case of Catherine Desgagnés, the significance of
transversthrustisreportedas“Thetransversethrust
createdbyaright‐handed
propellertendstoswinga
vesselʹs head to starboard when the propeller is
turning astern and to port when the propeller is
turningahead.Theeffectofthetransversethrustisat
itsmaximumwhenthevesselhaslittlewayon and
decreases as the vesselʹs speed increases“.
Besides,
caseofAmarantosidentifiesnegligenceofthiseffect
asacontributingfactortotheincidentandpointsout
thattransversethrustunpredictablyaffectsthevessel
largely in shallow water. Kapitan Serykh shows
effect of transverse thrust that might cause
grounding of vessel.In addition, in case of
Enterprise, although master
and pilot are aware of
transverse thrust, while manoeuvring off the berth,
unexpected large transverse thrust created by
propeller caused grounding on rocks. Case of
Marjorie Jackson accident, she has double propeller
butnotcounterrotating,duetothisfactshehaslarge
transverse thrust that requires constant steering
adjustments
forstraightlinenavigationandshehas
trouble to fix this gap, and accordingly collision
occurs.IncaseofPrideofCherbourgandBriarthorn,
lessonsarecirculatedwhichcontain being aware of
theeffectsoftransversethrusttobelearntfromthis
incident to its master and deck officers. In case of
SichemMelbourne,duetotransversethrustofright
handed propeller, she crashes shore and mooring
dolphin. In grounding of Coaster Whilst, it is
reported that “the Master should have been aware
that under the prevailing conditions and with the
effectoftransversethrustthatitwouldtendtoswing
her stern and bow.” On the other hand, in
investigation report of Mv Katika, it is noted
that
effect of transverse thrust could beneficially be
utilized, if its effect is well‐known. However, in
many accidents, it can be observed that transverse
thrust involves marine accidents directly or
indirectly.
4 CASESTUDY
In case of head on situation, two right‐handed
propeller vessels maneuvering to the port
side are
simulatedintheFigure5.AsitisseenintheFigure
5,bythehelpofthepositivetransversethrust,both
vessels keep clear while passing safely starboard to
starboard.Thisisthemostpropermaneuverforthe
right‐handedsinglepropellervesselsincaseofhead‐
on
situation to avoid collision. At this point,
COLREGs,declare“…involveriskofcollisioneachshall
alterhercoursetostarboardsothateachshallpassonthe
portsideoftheother.”Instead,asasuggestion:
Whentwopower‐drivenvesselsaremeetingonreciprocal
ornearlyreciprocalcoursesso
astoinvolveriskofcollision
eachshallalterhercourseconsideringtheirmaneuvering
and propeller characteristics so that each shall pass
safelyeachother.