A smooth bottom is a fast bottom. Is the bottom of your boat smooth
enough?
By Paul Grimes
You can't be a sailor and not be a scientist. Every time you leave
the dock, you become part aerodynamicist, part hydrodynamicist -- even part cosmologist
(when you get that urge to bang the left corner!).
Sometimes it's enough just to know that something is fast, without
knowing why. But with more complex questions, such as how to minimize "skin-friction
drag" on underwater surfaces, you will be bombarded with different theories. Some
people will tell you to wet sand, others will say to polish. Stars & Stripes
had micro grooves in '87, but maybe you need Teflon in '96. When faced with such a variety
of opinion, the only solution is to charge ahead, fearless of the complex science
involved, and try to discover the truth. You'll be surprised to find that the subject
isn't that complicated after all.
Basic Science
The No-Slip Condition--The term "skin friction" is
misleading when used to describe drag on hull surfaces. When we think of friction, we
normally think of two surfaces sliding against each other. This does not happen
underwater.
Fluid dynamics textbooks usually begin discussions of this topic by
explaining the no-slip condition. This stipulates that the fluid molecules against a
moving surface do not slide (slip) over it. Instead, they are pressed against it and
adhere to it. This occurs regardless of the type of surface (gelcoat, paint, plastic), how
smooth the surface is, or whether water beads up on it. In fact, if you could figure out
how not to adhere water to a hull, getting it to slide by, you would have discovered a
major scientific breakthrough.
Boundary Layers--To visualize what happens as a result of the
no-slip condition, imagine yourself in a scary situation: an overcrowded subway station.
You are part of a crowd pressed up against a train which is now full and starting to move
slowly. The people who are touching the train have no choice but to move along with it,
and they push those pressed up against them as well. You are 6 feet back from the train,
but you, too, are bumped and pulled along, though not as fast as the train and those
against it. Somewhere behind you, farther out from the train, the effect ends, and the
train's motion does not cause people to move.
What you just imagined (except for the panic) is what happens to the
water molecules against the hull of a sailboat. The region of water pulled along with the
hull is known as the boundary layer, and it can take one of two forms -- laminar or
turbulent.
When the boundary layer is "laminar," it's thin and
presents little drag. It's also fragile, so it quickly breaks up into a thicker
"turbulent" boundary layer as it flows aft on the hull or foils. When turbulent,
the boundary layer pulls more water with it, creating more drag. Therefore, the first goal
of bottom preparation is to extend the laminar boundary layer as far aft as possible on
your hull and appendages by creating practically perfect surfaces in the areas where it
can exist.
The second goal is to minimize drag aft of the transition to
turbulence, and this is a little easier to do. Most of the turbulent boundary layer
consists of chaotic, swirling eddies, but there is a thin layer next to the hull known as
the "laminar sub-layer." Any surface roughness small enough to be immersed in
this layer is "hydrodynamically smooth." In other words, making it any smoother
will have no benefit. This means that the hull does not have to be as smooth in the aft
sections, where you know the boundary layer will be turbulent, as it does in the forward
sections, where you hope to preserve laminar flow.
Let's take a look at two examples: a boat traveling at 2 knots and
one moving at 12 knots. Laboratory experiments with flat plates indicate that the
transition from laminar to turbulent flow in the boundary layer should occur in the first
6 feet at 2 knots, and within the first foot at 12 knots. Boats are not flat plates,
however, and they don't sail in calm test tanks, so we need to search further for evidence
of the true transition point. What the lab results do teach us is that the greatest
opportunity for laminar flow is at low speeds. Note that this is also when most of the
total drag of a hull is due to skin friction (as opposed to wave drag in heavy air). So
the smoothness of the forward sections of your bottom and foils is most important when
sailing in light air.
As for what is "hydrodynamically smooth" aft of the
transition point, when sailing at 2 knots, it's any scratch smaller than 4 mils
(thousandths of an inch). At 12 knots, the "admissible roughness" reduces to
under 1 mil. A human hair is approximately 2 to 3 mils in diameter, and a bottom finished
with 400-grit sandpaper should have a hydrodynamically smooth finish aft of the transition
point for speeds up to 7 knots. So, for most keelboats, a bottom which is finished with
400-grit sandpaper in the aft sections is adequate. For planing dinghies, which sail
faster, the aft sections of the bottom need to be smoother.
The Real World
Hulls in Waves--When sailing in real conditions, the shape of
a hull or appendage works to enhance laminar flow. However, the condition of the water
acts to destroy it.
Visualize water flowing past a sailboat hull. It is deflected
outward by the forward part of the hull, and accelerates until it reaches the widest and
deepest part of the hull. This acceleration creates a "positive pressure
gradient" that stabilizes and prolongs the laminar boundary layer. The same effect
exists on keels, and has led to foil sections and bulbs with their maximum thicknesses
moved aft to delay the transition from laminar to turbulent.
The worthy opponent of these positive effects is the state of the
water. Turbulence at the surface from waves, microorganisms, and contaminants can all be
disruptive. Yacht designer David Pedrick, who has dealt with this question during several
America's Cup efforts, feels that the imperfect sea state usually wins out. "We've
used electronic sensors and microphones to test for laminar flow," he says. "You
can get some, but not much."
The best chance for laminar flow is on the keel and rudder, both
because of their convex shape and because they are immersed below much of the disturbance.
Aerodynamicist and dinghy designer Frank Bethwaite questions "whether any surface is
'smooth enough' for a racing dinghy," when it comes to foils.
Smoothness vs. Fairness--So far, we have concentrated on the
smoothness of surfaces, but not fairness. By fairness we mean whether the hull has highs
and lows that deviate from its designed continuous curves.
On this subject, Karl Kirkman, a well-known hydrodynamicist with
extensive tank-testing experience, found that hulls can be forgiving of gentle variations
in shape as long as there are no sudden changes in curvature. "If there is a step or
a dent in the hull," says Kirkman, "of course that has to come out. But hulls
can be forgiving of a gradual waviness unless it is in a place where it could cause flow
separation."
Pedrick agrees, but adds that, for keels and rudders, both
smoothness and fairness are critical to performance.
Beading vs. Wetting--Any discussion of fast bottom surfaces
eventually leads to the question of whether water should bead up on a hull or
"wet" the hull so that it flows off in a sheet. "Beading has no
relevance," says Kirkman. "It's a function of the surface tensions of the water
and hull surfaces, and nobody has been able to explain to me how it has any relation to
skin-friction drag underwater."
Even so, both Pedrick and Kirkman suggest that waxes are not a good
idea because they seem to attract and/or react with contaminants in the water and can be
hard to get as smooth as a finely wet-sanded surface.
What About Riblets?--Riblets were used on the bottom of the
12-Meter Stars & Stripes during the 1987 America's Cup. They are tiny v-shaped
grooves that were applied to the hull on a vinyl tape (from the 3-M company). Soon after
their televised debut, they were outlawed by the racing rules, which now prohibit
"specially textured" surfaces that alter "the character of the flow of
water inside the boundary layer."
Fine. But what if you are painstakingly wet sanding your new bottom
paint to achieve a "hydrodynamically smooth" surface. You might wonder whether
you could sand carefully in a fore-and-aft direction using 220-grit paper, and then
"just launch the damn thing."
Fortunately for protest committees everywhere, this does not appear
to be a smart approach. Early papers on riblets show that their effectiveness is sensitive
to the geometry of the tiny grooves, and that rounded grooves are likely to increase drag.
They have also been shown to trip laminar boundary layers into
turbulence sooner than smooth surfaces. As Kirkman points out, the optimum height of the
riblets changes with speed, so any riblet choice is a compromise. So it seems likely that
large scratches left in a surface from sanding with 220-grit sandpaper will increase drag
rather than reduce it.
Bottom Finishes
By now we should agree on a few things. The foils should be mirror
smooth. For keelboats and non-planing centerboarders, if you want to go fast in light air,
the hull should be highly finished at least back to the midsection. Aft of that, a
400-grit finish is adequate for keelboats. Polish a high-performance dinghy from head to
toe.
But what is the best finish? Should you use paint or gelcoat? And
how do you maintain that finish? Here are some things to consider.
Magic Bottom Paints--We hear about paints that repel water,
paints that bond water "because water sliding over water gives less drag," and
paints with low-drag coefficients. When faced with such claims, remember that the
chemistry of a paint can only reduce drag if it leads to a smoother finish -- either by
allowing the paint to be sprayed on more smoothly, by creating a harder surface for finer
wet sanding, or by preventing growth and contaminants from adhering. Any other claim runs
into the no-slip condition. It may well happen that someone will figure out how to allow
water to slide over surfaces, but until then, assume the no-slip condition is alive and
well, and smoothness is what really counts.
As for advertised test results showing the drag reduction of a
bottom paint, common sense says to be skeptical. For instance, a 10-percent drag reduction
would lead to a huge speed advantage in a one-design fleet. If that happens, you'll know
it.
Gelcoat--Sailors with production boats often worry if their
gelcoat hulls are fair enough. Even if reflected light seems to "flutter" as you
move your head to look at the hull, chances are that your surfaces are adequately fair.
Your eye tends to be over-sensitive to this, and glossy surfaces show everything. Another
boat with a duller, wet-sanded bottom may look perfectly fair; but if it were glossy,
chances are that reflections would dance a bit on its surfaces, too. Unless you can
actually feel roughness or unfairness, your efforts are better spent on your keel,
centerboard and rudder.
Sometimes, excessive "orange peel" or "print
through" is visible in the gelcoat. This means that, although the surface is often
fair enough, it may not be smooth enough. If you decide to wet sand a gelcoat hull, it's
best to have a boat shop refinish the underwater surfaces with another layer of gelcoat,
or an epoxy barrier coat.
Don't sand gelcoat without good reason, however. Untouched gelcoat
has a thin, resin-rich layer on the outside that helps to protect it from weathering.
Removing this layer will not only cause quicker fading, it may expose porosity that is
trapped in the gelcoat. This porosity is not much of a drag problem (tiny protrusions such
as road dirt are much worse), but it will leave the gelcoat less effective as a water
barrier to the laminate and core.
With gelcoat, the best way to maintain the finish is with soap and
water. Many sailors put a layer of liquid soap on a hull before launching to keep the
bottom clean while sailing out of a polluted harbor. While this is effective, the soap
also adds to the pollution. As an alternative, some sailors polish the bottom. Do whatever
it takes to keep the bottom free of contaminants. Remember, wax is not recommended.
If the bottom is finished in an epoxy primer, you can also wet sand
it to maintain a clean, smooth finish. But a wet-sanded bottom will get dirty more quickly
than a polished or shiny gelcoat surface. Here's how they do it in the America's Cup:
The Perfect Hull--Perhaps the best way to discover what the
experts do is to check the hulls of America's Cup contenders. These boats are drysailed,
and thus do not need antifouling protection or paints that can be left immersed for long
periods. However, there are still lessons to be learned.
At least among the American syndicates, there seems to be little
variation from what Pedrick describes: "We start by getting the hardest surface
possible. Since Courageous in 1974, we have used Awlgrip on the boats because the
catalytic urethane chemistry yields an ultra-hard surface. We wet sand this to a 600-grit
finish, and finish it off by sanding in the streamline directions -- just to do the least
amount of harm. Before launching, we put detergent on the hull to keep any oil or
contaminants off."
In the end, it's not that complicated. Your appendages should be as
smooth and fair as possible, and your hull should be just as flawless in the forward
areas. Aft of where you expect transition on the hull (certainly by amidships), the
surfaces need only be "hydrodynamically smooth." Finally, when faced with the
myths, remember the no-slip condition.
Paul Grimes was a Collegiate All-American sailor at Brown
University, an engineer for Tillotson-Pearson, and is currently owner of Fusion Composites
in Middletown, R.I.