
By Malcolm Tennant, Multihulls Magazine
Power
catamarans are becoming an increasingly prominent part of the boating scene. Despite this relative familiarity there is still a perception that all catamarans are the
same. This is obviously not true for monohulls so why should it be true for
catamarans? Just like monohulled vessels there are numerous sorts of power
catamaran. Which one is used depends on the purpose for which it was designed. And,
just like monohulls, you need to have the right boat for the job. However unlike the
monohulled vessel there is a much greater overlap in performance and behaviour
between the two basic types of catamaran; the planning craft and the displacement
vessel. This is largely because a displacement catamaran can, unlike its monohulled
cousin, often go just as fast as a planning one, and in some conditions faster. However
it is not quite that simple, there are many more variables than just the hull form. So
let’s look at some of the parameters that differentiate the different types of catamaran
and see if we can determine how they may effect your choice.
Although the hull form is not the only variable, to most people it is certainly one of
the most obvious. If we ignore the more exotic examples of the breed, such as the SES
[surface effect ships/side wall hovercraft] craft and the SWATH [small water plane
area-twin hull] which is really a very extreme displacement vessel, then just like
monohulled vessels, there are two basic types; the planing hull and the displacement
hull. The hull of a planing catamaran is usually similar in shape to that of a planing
monohull. It is generally a relatively low dead rise hard chine hull with no rocker.
Just
like a monohull it may have planing strakes and the currently very fashionable steps.
There are planing catamaran hulls in which the deadrise angle is constant for at least
the last half of the hull [a monohedron hull] and others where it will vary along the
length [a warped bottom hull]. Others may be similar in section to the deep vee
monohull. There are also a number of variations on the single chine/multiple
chine/longitudinal and transverse steps theme. However there is one planning
catamaran hull form that you will be very unlikely to see on a monohull. This is the
asymmetrical planning hull as epitomized by the larger Prout power cats, and the
offshore tunnel hulls. This can probably be characterized by likening it to a
monohulled vessel cut in half down the centerline, spread apart and spanned by a
wingdeck. This means that the inside of the hulls is flat with all the shape on the
outboard side. This configuration is considered to have superior performance to the
symmetrical shape in some conditions. It can also be designed to lean into a turn just
like a monohull whereas the symmetrical hulled planing cat will tend to lean outward
in a turn. Displacement cats also lean outward in a turn but because the angle of heel
in their case is around half a degree it is usually not even noticed. Most designers of
planning power cats use symmetrical hulls like the original Australian design, the
Bruce Harris “Shark Cat”. These are essentially two narrow planing monohulls placed
side by side with a bridgedeck in between. Others use planing hulls that are
symmetrical forward but asymmetrical down aft. Then an extra wrinkle can be
thrown into the mix by fitting foils to boats that are intended to exceed 28 knots. Foils
allow the boats to plane sooner and also carry heavier loads when on the plane. The
retrofitting of foils is sometimes used to enable a planing cat, which is showing a
disinclination to plane, to do so. Foils were fitted to the initially rather sluggish Prout
“Panther” with an immediate improvement in her performance. The fitting of foils is
an approach that is difficult to use on a monohull but the catamaran configuration is
perfectly suited to them as the main load carrying foil is generally fitted between the
hulls. Foils, particularly the active systems, are also sometimes fitted to the larger
displacement hull forms, such as those found on high speed ferries, to improve the
ride quality.
Generally the planing cat is designed for relatively flat water but it will still handle
rougher conditions better than a monohull provided there is sufficient wing deck
clearance. It is also usually a relatively short range vessel and is also relatively small.
Just like a monohull it becomes increasingly difficult to make the vessel plane as it
gets larger. This is largely because while the planning area is increasing by the square,
the displacement is increasing by the cube. The bottom loading gets too high and it
just requires more and more horsepower/speed to plane. At somewhere around 18 to
20 metres it makes much more sense to go to a displacement hull form which at this
particular size will go just as fast, if not faster, with considerably less horsepower than
the planning vessel. Going fast in a displacement vessel is something that you just
cannot do with a small monohull. The displacement monohull, excluding warships
and the rather extremely powered “Eco/Katana”, is a relatively slow vessel whereas
the displacement catamaran can go just as fast as the planing boat. And, just as it is
with monohulls, unless you are the King of Spain, it is prohibitively expensive to run
a large, fast, planing vessel. However the converse, size wise, is also true for
catamarans. It becomes increasingly difficult to justify the use of the displacement
hull forms below about 10 metres in length unless you are willing to go quite slow or
have hulls that can only be used for stowage. Essentially, if you want to go fast in a
“short” catamaran you use a planning hull form.
So what characterises the displacement hull form? Like monohulls it is usually a
round bilge form of minimum wetted surface that depends on its length to achieve
high speeds. Unlike the monohulled displacement craft the hull speed of the
displacement catamaran is not restricted by the familiar 1.34 times the square root of
the waterline length of Froudes Law. I have displacement catamaran designs capable
of more than 30 knots with quite minimal horsepower and the more extreme high
speed catamaran ferries are achieving 60 knots from very long thin displacement
hulls. Like the planning hull cats there are a number of different design approaches to
the shape of displacement hulls. When many of the French catamaran companies
decided to get into power cats they just fitted larger engines into their sailing hulls,
probably because being production boats they had the moulds handy. This is fine as
long as you are not going to exceed around 15 knots. Beyond this speed the hulls start
squatting and assuming a bow out attitude. The sailing boat hull form is not really
suitable for a displacement power cat with any performance or long range aspirations.
They are essentially trying to go up hill and require increasingly large amounts of
horsepower to move. A number of designers, take a somewhat different approach.
They took the traditional trawler displacement hull with its buttock lines sweeping up
to a flat surface at the stern, made it much narrower so it had a higher hull speed and
then joined two of them together. When in 1979 our design office started looking at
power catamaran design we started with the sailing cat hull shape because we knew
how fast we could make them go from some twenty years experience of designing
sailing catamarans. However to prevent the squatting normally associated with this
hull form under power [*] we increased the buoyancy down aft by fitting a bustle with
a vertical trailing edge. This worked well but when the first of this type was built in
1983 it proved to be a difficult hull shape to construct as a one off and so the buttock
lines were straightened in profile. Instead of kicking the hull lines up toward the
surface down aft, as with the traditional displacement hull shape, we drew them in to a
canoe stern beneath the water surface. We then placed a large amount of buoyancy
above this in the form of a flat section to prevent squatting. Since then this form has
been refined by the addition of a concave surface above the propeller complete with
some kick down toward the aft end. The distribution of the buoyancy has changed
slightly, and the entry has been fined up even further and very early on a “knuckle”
was added. Now that this particular form that we developed has proven to be so
successful it has become the preferred shape for an increasing number of the worlds
displacement catamaran designers [ Including the “wave piercing” designs of Craig
Loomes and Roger Hatfield
of Gold Coast Yachts]. See
Figure 1.
Most of the hulls low
resistance may be attributable
to the basic shape. But we
have also considerably
reduced appendage drag.
There is no exposed propeller
shaft, nor any supporting
strut. We also maximised propeller efficiency by having a horizontal tail shaft. The
propeller is at right angles to the water flow but still protected from damage. Another
attribute of this hull form is its ability to take the bottom and being a catamaran it
remains level. This hull form, and its many variations, have proven to have one of the
lowest resistances’s of any hull so far developed. This has been demonstrated many
times in the test tank and full size in the ocean. Slip factors of from 12 to 15% are
commonplace.
It is not unusual to see a displacement hull with a bulb bow and there are several
reasons why a designer might employ such a device. One of the parameters that
determines the resistance of a displacement hull is the hulls half entry angle. The finer
the entry the less the resistance. By its very nature any catamaran hull is finer in the
forward sections than an equivalent monohull and this tendency is even more
exaggerated in the low resistance displacement hull. As a consequence of this the
centre of buoyancy of such a hull tends to be located well aft. If the superstructure of
such a vessel is then located well forward it will tend to move the LCG forward also.
In this case it may be necessary to fit a bulb to move the LCB forward to where the
LCG is located if a bow down trim is to be avoided. This characteristic is clearly
illustrated by the fine entry and bulbs that are typical of a Craig Loomes wave
piercing displacement catamaran, or some of the high speed displacement ferries from
the Crowther Office and others. A bulb may also be fitted after launching to correct a
bow down trim problem. If possible I prefer to gain forward buoyancy by lengthening
the hull forward as this will also lead to an increase in hull speed and is generally
easier to build. However this is not always possible and I have had to have recourse to
a bulb to move the centre of buoyancy forward on some designs. Careful tank testing
will often show a decrease in hull resistance at a particular speed if bulbs are fitted
and this can be another reason for their use, as it is with freighters.
With our particular displacement hull form, provided it is allowed for at the design
stage, a bit extra weight usually makes very little difference to its performance. This is
because most of the major parameters determining the hulls resistance:- the half entry
angle, the length to beam ratio and the prismatic coefficient[**] vary very little with
increased immersion. True the wetted surface [viscous drag] will increase but this is
only important at relatively low speeds. At speeds above approximately six knots to
the 25 to 30 knot range where we are often operating the major component of
resistance is wave making drag, rather than viscous drag, and that is largely
determined by the before mentioned parameters which do not change. In practice this
means that the displacement hull form is particularly suited for long range, and
particularly long range at speeds that monohulls can only dream of. However as the
hulls are made finer and longer in the search for higher hull speeds viscous drag will
ultimately become the major component of the drag equation. It should also be kept in
mind that the add on weight of fuel, water and food necessitated by ranges of 2,000 to
4,000 nautical miles will
result in high
displacement/length ratios
which will adversely effect
performance unless they are
allowed for in the design.
One of our ocean going
designs, the “Wildwind IV”
has a cruising range of 2,500
nautical miles at 9 knots [with
a 10% reserve]. And this from
an 18m displacement boat
with a top speed of 23 knots. See Figure 2.
However this weight issue does raise another point of differentiation between the
planning and displacement cat. The height, shape and span: both transverse and
longitudinal, of the wing deck, will vary from design to design, and from designer to
designer. When looking at the wingdeck structures of power catamarans it is
necessary to recognize that they may be operating in conditions that will never effect
a sailing catamaran. Most sailing catamarans will never be going any closer to the
wind and waves, under sail, than 45 degrees. This to some extent reduces the
slamming effect of the waves. The power cat on the other hand may very well be
“punching” straight into a seaway and this should therefore be kept in mind.
Although some extra weight does not have much effect on the performance of the
displacement hull form, except at the extremes of the displacement/length ratio, and
as long as it is designed for. It will however make the “knuckle” on our designs closer
to the water. And even more importantly, it will lower the height of the wing deck off
the water. If this lowering is extreme then it will impact quite literally on the vessel’s
performance. Consequently if the vessel is to operate in rough water conditions we
design the wingdeck and the various structures associated with it to suit those
conditions. Firstly we try to keep the wingdeck as high off the water and as far back
from the bow as is feasible. However the striving for a stylishly low profile often
forces the wing closer to the water
than is desirable from a rough water
performance point of view. We
faced this dilemma with the
“Tarawera” design “Clearwater
Spirit”. It had an elegantly low
profile, which forced us to use a
wing deck clearance of some
700mm, which was 200mm lower
than I consider the minimum
required. This was fine for most of
the time on Lake Tarawera but the
boat was also in operation in the
rougher water of the Hauraki Gulf
during the America’s Cup races. The
solution we arrived at was to raise
the forward 50% of the wing up to
900mm and then step it down to the
700mm down aft. This meant that
there was only sitting headroom up front in the saloon but in practice the compromise
worked. (See Figure 3). The boat was reported by one charter skipper as being the
best rough water catamaran he had ever skippered in his long and varied career. It is
obviously very necessary to ensure that the vessel has sufficient displacement to carry
its intended load if problems are to be avoided.
If we are designing for offshore, or even extended coastal travel, then we also use a
number of other design features to maximise the vessels rough water capability. I
have seen it said that the fine bows and deep forefoot that are typical of the
displacement hull form, and that allow it to slice so smoothly through the seas, can
lead to wing deck slamming and also bow steering, or even broaching, in large
following seas. There is some truth to this assertion if unheeded, but of course the
designers of this type of vessel are well aware of these potential problems and take the
appropriate design action. For instance we provide reserve buoyancy in the bows in a
number of ways. We have a “knuckle” that is located some 600 to 700mm above the
waterline. This is curved in section so that the increase in buoyancy is not so fast that
slamming of the knuckle itself occurs but it ultimately provides a massive increase.
From this knuckle, on the
inboard side, we have a
further increase in buoyancy
in the form of a panel at 45
degrees. This we term the
under wing “girder”. On the
sheltered water boats this is a
flat panel in the interests of
cost and simplicity. But on
the ocean going craft this
curves up transversely and
then down in the centre in
two arches reminiscent of the
“McDonalds” symbol. This
provides a further gradual increase in buoyancy and has the added appeal of
presenting no flat surfaces to any potential wave impact. The centre of this double
arch wing deck carries right to the bow forming an “anti slam nacelle”. The bows are
also very high and with some flare to further limit the possibility of wing deck
slamming. And of course the wingdeck is kept high and short (see Figure 4.).
So in fact the perceived problem is just that. It is only someone’s perception, and in reality
does not exist in boats where the appropriate design action has been taken. In a similar
way the “wave piercing” displacement cat designs of Craig Loomes use the larger
central “hull” to prevent burying the low freeboard hulls and minimise slamming of
the wing deck. Roger Hatfields “wave piercers” employ very long forward overhangs
and a very short and high wing deck structure to minimise impact and ensure that the
hulls “surface”. All displacement hull power catamarans are in reality “wave
piercers”. They all slice through the waves. Where the differences occur from
designer to designer is in the way the designer employs reserve buoyancy to ensure
that once the hull has “pierced” the wave it surfaces on the other side. Our use of
knuckles, high bows and the curved wing deck and nacelle are just one answer to the
question of how to distribute reserve buoyancy to achieve maximum efficiency and
minimum motion. Each approach will have its advantages and disadvantages.
The Gold Coast yachts approach results in very long hulls for the size of the vessel
and this is always something worth having on a displacement catamaran. However
care has to be taken in the design of the structure of these relatively unsupported long
bow overhangs because of the very high cantilever loads. While these long bows are
not a problem on a commercial vessel they could to lead to some serious difficulties
with anchoring on a similarly proportioned pleasure boat. The “perceived” size of the
vessel would put off some pleasure boaters who have a tendency to want to use all of
the available space, including the space between the bows.
Craig Loomes approach minimises the visual impact of the two catamaran hulls. The
boats look very much like monohulled vessels with relatively insignificant side hulls.
Given that this was a primary design requirement it is a very successful approach. On
the other hand, the designs from the Malcolm Tennant office, and many others such as
Crowther, are very definitely catamarans with two prominent bows.
All the above features also militate against bow steering, “wave stuffing” and
broaching. But, because when you are in middle of a very wide ocean there can be no
room for error, we also fit larger than the usual sized rudders to our ocean going
designs to ensure that regardless of the severity of the conditions, and the size of the
waves, the vessel goes exactly where you want it to.
The transverse span of the wingdeck is a direct reflection of the hull spacing. On a
planing cat the hull spacing appears to have little effect on the performance other than
its contribution to compressing the air and water in the tunnel. Conversely the spacing
can have quite significant effects on the performance of a displacement power cat. If
the space between the hulls is too small then there will be wave train interaction and
an increase in resistance [up to 50% increase in residual resistance has been reported
from tank testing]. So how close is too close? It depends on the length to beam ratio
of the hulls and how fast the boat is going. We designed two boats with identical
hulls, displacement and installed power. One had an overall beam of 7m the other 5m.
The boat with the 5m beam was 2 knots slower. To further complicate the issue of
hull spacing it has been shown that at some spacing the interaction of the wave train
with the opposing hull can sometimes lower the resistance at a particular speed.
The planing cat will typically have a wing deck clearance that is less than that of the
displacement cat. The major reason for this is that they are generally utilizing the ram
effect of the water and air compressing in the tunnel to both provide some lift and to
cushion the impact when leaping clear of waves. This works well, particularly on the
smaller vessels, and the tunnel hull race boats, until such time as the boat has to slow
down because of the conditions. The ram effect does not contribute anything at lower
speeds and the craft is now susceptible to slamming from the low tunnel. At some
stage the vessel becomes too big/heavy for the air/water cushion effect to work. What
happens when you have to slow down in adverse conditions is a major parameter in
the design of any power catamaran that is going to operate in other than sheltered
water. Owners of small planing craft will be well aware that in some particular wave
conditions it is often better to speed up rather than slow down. A similar effect occurs
with our larger displacement boats. In some adverse sea states driving the boat at 18+
knots results in a very much smoother ride. The cats slice through the water in what
an American owner of one of these boats calls “hydroglide”.
It should be obvious from the foregoing that there is a much larger size/speed overlap
between the planing and displacement hull form catamarans than occurs in the
equivalent monohulled vessels. With monohulls the displacement boat is on the low
end of the performance scale and the planing boat on the high end and never the twain
shall meet. Admittedly there is an amorphous hybrid called a semi displacement craft
which attempts to bridge the gap. But generally speaking the planing and
displacement vessels are quite distinct in their performance, purpose and area of
operation. It is not possible to separate the planing and displacement catamarans on a
straight performance basis in the same way as is possible with monohulls. It is often
just not possible to say which type is superior for a particular purpose, or in a
particular set of conditions, unless you define your requirements very carefully.
It is generally considered that a catamaran will always have more accommodation
than a monohulled vessel but this is not necessarily so. If the beam of the catamaran is
restricted to the same as that of a similar monohull, then the monohull may in fact
have more interior space. Hard to believe? Then consider that essentially what has
been done with the catamaran is cut a piece out of the centre line of the monohull. If
the catamaran then has the same beam and length of the monohull then it does in fact
now have less interior volume because we have cut that piece out and not replaced it
by making the vessel wider. So restricting the overall beam of the catamaran to that of
a monohull can impact quite severely on the accommodation. The varying types of
accommodation found in catamarans is largely distinct from the type of hull used but
again some types of vessel do tend to have particular accommodation layouts. The
two extremes in the case of accommodation are the vessel where all the cabins are in
the hulls and the vessel where they are all located in the wing and the hulls serve
engine, stowage, and utilities purposes only. The hulls of the displacement vessel tend
to be narrower and until the vessel gets larger often serve only as corridors with the
berths cantilevered inboard or entirely located in the wing. Conversely some planing
cats with generally wider hulls have all their berths located there. But of course there
are any number of variations, and combinations, of these arrangements. One of the
things that people tend to like about power catamarans is that it is possible to have
most of the accommodation on one level, up on the wingdeck. This can be considerably cheaper than hull accommodation and has access benefits. However if
the client then wants a fully enclosed wheelhouse up on top of the accommodation
structure the result can resemble a wedding cake. This is because if your wingdeck is
900mm to 1m, or more, off the waterline and then the primary accommodation is
another 2m and the wheelhouse another 2m on top of that you end up with a
considerable height. This is not a problem stability wise but on a shorter vessel can
certainly look a bit top heavy. Of course this is nowhere near the same problem on a
longer boat because the people don’t get any taller and so most of the structure stays
exactly the same height. The overall profile can of course be lowered by lowering the
height of the wing off the water but as discussed earlier this brings a whole new set of
problems. One solution that we in our design office have borrowed from the
monohulls is to use the raised pilot house concept that is so common on the
passagemaking trawler style vessels. We have applied this layout to some of our longrange
cruisers and even our “super yachts”.
The raised pilot house is seen by many clients as an “appropriate” styling for passage
making type of vessel but it also works well on a practical level because it reduces the overall height of the craft despite the very high wing deck clearances, and bow
heights, associated with the serious ocean going boats. The down side accommodation
wise, and with boats there is always a down side, is that the accommodation is no
longer all on the one level. It is now necessary to go up and down stairs in a similar
fashion to that found on the monohulled trawler yacht. (See Figure 6.)
Styling wise you can essentially have
any type of styling that you want. As
pointed out earlier there will be some
constraints imposed by such things as
the wing deck height but aside from
that anything goes. You can have
everything from the ultra
conservative trawler styling through
to the very latest in sleek “Euro-high
tech”.(See Figure 7.) These days the
designer can give you any shape you
want. As a designer I used to say to
clients “we can draw you any shape
you want but, [1] can it be built and
[2] even if it can be built can you
afford to build it”. In these days of
surface modelling programmes and
five axis milling machines [1] is now
of much lesser importance. However
[2] is still with us and the more
curved shapes, if built as one offs, do
tend to be more expensive as they
may require quite complex moulds.
But again the computer does come to the rescue somewhat in allowing these moulds
to be much more easily constructed than in the past. There may often be little linking
the styling of the craft to the hull form. Though it would probably be seen as
inappropriate to put aerodynamic styling on a vessel with a top speed of 8 to 10 knots.
We have designs at the extremes of the size, styling and performance continua but the
basic in the water shape, the structure and the naval architecture of our displacement
hulls remains essentially the same although the basic parameters will vary.
To some extent the choice of drive system also separates out along similar lines. The
extreme long range displacement boat would probably use a relatively large CP
[controllable pitch] propeller, a fixed propeller or perhaps even a carbon fibre prop.
The smaller high speed planing craft, if it were small enough, would use outboard
propulsion. The large high speed displacement ferry boats tend to use water jet units,
often coupled to gas turbines. A lot of the medium sized planing craft use surface
drives. But again in the overlapping centre part of the type, performance and size
continuum all of these drive systems would appear to have a place depending on
exactly what you are trying to achieve with your vessel and the level of importance
you ascribe to particular features.
It would appear from the foregoing that. While it is obvious that at the extremes of
performance and size one type or another has a fairly clear-cut advantage. eg: To go
fast in a short power cat you have to plane. To get long range at reasonable speed and
comfort the high speed displacement cat is the obvious choice. However there is a
place in the middle where often either type may do the job.
So is it possible to generalise in any way concerning which type of vessel should be
your choice? It is very difficult to do this because often the choice of boat is
influenced by emotional factors as much as rational ones. It probably depends mostly
on where your priorities lie. If the styling is the dominant factor, and if you are
looking for a vessel that has a profile of no greater height than a monohulled craft of
the same size, then you are probably going to have to go with a planing cat with a
very low tunnel height. You will have to accept that the wing will hit sooner in rough
water and you will generally require much more horsepower to drive it. Conversely, if
you want a high tunnel height and good rough water capability combined with
economy and extended range, then you are going to have to live with the higher
profile that accompanies these characteristics. If you are looking for lots of
accommodation in a short boat then you will need a boat whose beam is going to
make the use of a marina berth problematical. Conversely if you wish to restrict the
beam to that of a monohulled vessel then you will have to accept the loss of internal
volume, and if it is a displacement boat, possibly performance also. If easy engine
access of the stroll around type is your
major requirement then perhaps you
should be looking at monohulled craft
because no smaller catamaran has the wide
open engine rooms that can be found on
some monohulled vessels. However the
planing vessel will generally have wider
hulls and will often have the engines
located further aft than in a displacement
boat, particularly if surface drives are
being used.
If fuel economy is the number one priority
then our high-speed displacement boats
can give this to you very easily (See Figure
8). Ally this to the longer range and good
sea keeping and the displacement boat
again stands out. But the displacement cat
will usually have less accommodation
space in the hulls than the planing craft
until the boat gets to the size where the
planning craft is no longer an option.
However the greater volume of these wider
planning hulls will usually be offset by the
fact that displacement cats tend to have
greater overall beam, with the attendant
increased wing deck cabin space, than do
planing ones.
If you want to carry big, heavy loads then a
barge should be your vessel of choice, not
a catamaran. Although catamarans may
potentially have lots of interior volume this
does not necessarily translate into load
carrying. The planning cat has wider hulls and will not sink as far but will take longer
to get onto the plane, and may even be actually prevented from planing under load. It
then becomes a rather inefficient displacement craft. The displacement cat may sink
further under the load but generally the performance will not be effected until the
wing deck height is compromised. A very good reason to keep wing deck clearances
high.
This is a very brief summary of what is a very complex topic. The possible
permutations and combinations of the hull type, style, performance, drive system and
accommodations of a power catamaran are considerable. Much greater than for
monohulled vessels. But hopefully I have shown that there are some generalizations
that can be made about the large number of different types and styles of catamaran
each of which will have a particular advantage, or disadvantage, depending on its
intended purpose. Ultimately it always comes down to horses for courses and, of
course, your personal preference. Along with this must go the recognition that all
boats are compromises and that you just cannot have a boat that will do everything.
[*] This squatting that occurs under power does not happen when the vessel is under
sail. This is because the squatting tendency caused by the water flow around the hull
with longitudinal rocker is counterbalanced by the diagonal/forward drive of the rig.
So the force of the rig pushing the bow down is counteracted by the water flow
sucking the stern down. If there is “excessive” rocker in the stern the boat may
actually sail stern down, which is not necessarily a bad thing. However this can lead
to a sudden overcoming of the suction at the stern by the thrust from the rig which can
then culminate in a rather catastrophic lee bowing incident.
[**] This is a way of expressing how full or fine the ends of a hull are. Is it more or
less a constant shape or does it pinch in at the ends? It is the ratio between the actual
volume of the immersed hull and that of a solid having a constant section the same as
the mid section multiplied by the waterline length. On a vessel with a prismatic
coefficient of 0.65 the immersed volume of the hull is 0.65 [65%] of the volume of
the solid formed by multiplying the area of the widest section by the waterline length. |