585
3 THEWINDIMPACTANALYSISONTHESHIP
HerewereconstructtheNordlandiaice‐stickingevent
with respect of the wind blowing on the ship. Also
thiseventiscomparedheretotheSaxencasebecause
the circumstances are similar enough at the both
events.The ice covered 100% the
ship vicinity in
both the cases. At both the events the wind blew
almost across (assumed orthogonally for the
reconstruction)theshiplongitudinalaxis.
Thewind‐generatedforcesimpactontheshipgot
intouchwiththeiceisconsidered.Thewindpushes
the ship against the ice (Fig. 6)
whereas
underpressure takes place on the other side. We do
nottaketheimpactoftheiceinfrontoftheshipinto
account here. Here we consider neither the ice
pressurenortheimpactofunder‐icecurrents.
The ship area with respect to the wind is ca
5000
m
2
whereas we do not take the ship geometric
shape into account.A force acts to the ship by the
windblowingorthogonallytotheshiplongitudinal
axis.Thewindforceisdescribedbytheformula:
2
/2
wind to ship a ship d
FUCA
(1)
where
a
isairdensity,Uiswindspeed,
d
C isdrag
coefficient(3.5fortheopenaironsea).
In the Nordlandia case the wind blowing with
speed 8 m/spushes the ship with force600 kN.
Then the ship impacts on the side ice with the
pressure 15 kPa (Fig AS). We estimate how much
engine power is needed
to keep the ferry speed 20
knotsinspiteofthefrictionforceprovidedbyice.
The necessary power is characterised by the
formula
wind to ship
WF v
where F is the side wind
force, v is the ferry speed and
is the friction
coefficientbetweensteelandice.ThusW=180kWis
calculatedbytheformula.Thus,toovercometheside
ice friction force, the ferry engine has to develop
W=180kWadditionallytothepowerneededtosail
in free water. For a comparison, typical
27 m long
ferry‐boathastheenginepower220kw.
Wind force
hip pressure to ice
hip area about 5000 m²
Ice h=0.25m
Figure6.Theforcesactingonthevessel.
4 CONCLUSIONANDDISCUSSION
Stickingtheshipintheiceisaresultofafewnatural
factors acting together. In this paper we focus on
windactingtovesselsailinginice,ontheexampleof
twoentrapmenteventsintheGulfofFinland.Inthe
bothstudiedcasesthe
naturalfactorssufficedtostick
thevesselsintheice.
The wind‐generated pressure resists the ship
movement as the wind is blowing across the vessel
longitudinalaxis.Atboththeentrapmenteventsthe
wind blew so. Sticking is probable when the cross‐
wind is accompanied by ice pressure and
under‐ice
currents.
WeevaluatedthewindimpacttotheNordlandia.
Inthiscasethewindprovidedpressure15kPa.This
pressure caused an additional friction between the
hull and the ice.To overcome the side ice friction
force, the ferry engine has to develop power
additionaltothepowerneeded
tosailin freewater.
Typical 27 m long ferry‐boat commonly has the
enginepower220kW.
The present study belongs to the research area
aiming to determine the necessary and sufficient
conditions of sticking a vessel in the ice. Knowing
these conditions enables to avoid navigating ships
frombeingcaughtinice.
ACKNOWLEDGMENT
This work was supported by institutional research
funding IUT 19‐6 of the Estonian Ministry of
EducationandResearch.
REFERENCES
[1]J. Rjazin and O. Pärn,“Determining the ice seasons
severityduring1982‐2015usingtheiceextentssumasa
new characteristic,” Geophysical Research Abstracts, vol.
18, EGU2016‐3020, EGU2016‐3020, 2016 EGU General
Assembly2016.
[2]O. Pärn, “Sea Ice Deformation Events in the Gulf of
Finland and Their
Impact on Shipping,”. Marine
Systems Institute at Tallinn University of
Technologyrsity,TTÜPress,2011.
[3]O.PärnandJ.Haapala,“IcedeformationintheGulfof
Finland in the severe winter of 2002/2003,”vol. 62,
EstonianJournalofEarthSciences,2013,pp.15‐25.
[4]Baltic Icebreaking Management. (2010). Baltic
Sea
Icebreaking Report 2009‐2010 [Online]. Available:
http://www.ieee.org/documents/ieeecitationref.pdf
[5]S. Hänninen, “Incidents and Accidents in Winter
Navigation in the Baltic Sea,” Finnish Maritime
Administration,Helsinki,Finland,Rep.54,2003.
[6]W.B.Tucker,III,D.K.Perovich,M.A.HopkinsandW.
D. Hibler, III.“On the relationship between local
stresses
andstrainsinArctic packice,”Ann.Glac.,vol.
15,1991.
[7]H. Villak. (2011, Feb. 12). Nordlandia jäi Soome vetes
jäävangi(NordlandiagotstuckiniceinFinnishwaters)
[Online]. Available:
http://reis.postimees.ee/224007/nordlandia‐jai‐soome‐
vetes‐jaavangi
[8]Veeteede Amet (
Estonian Maritime Administration). (2003).
Laevaõnnetused2003 (Ship damages 2003) [Online].
Available:
http://www.vta.ee/index.php?id=727&highlight=Saxen