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From: Peter Chopelas <pac_at_premier1.net>
subject: Re: [Paddlewise] [PaddleWise] Greenland vs Euro paddles
Date: Wed, 8 Sep 2004 19:13:04 -0700
I thought I would add to the confusion and contribute some observations on
the fluid mechanics of the paddle.

With either potential flow (chord wise flow) "thrust", or vortex generated
"thrust", the higher the aspect ratio, the lower the induced drag, and
better the efficiency of the stroke.  The problem is that the high aspect
ratio surface tends to stall much easier, and when stalled it will generate
much less thrust.  For maximum acceleration, as in WW or surf kayaking, or
racing, lower aspect ratios tend to be better for maximum thrust, even is
somewhat less efficient.  For lower speed long distance paddling, high
aspect ratios will be better to allow less fatigue over the same distance
traveled. It is like comparing a Honda civic with a drag racer; one
maximizes distance over the fuel consumed (max MPG), the other maximizes
distance over time (max MPH).  So it depends on what you are measuring, and
what you want to optimize on which type of paddle you choose.

You also see the same thing on propellers on aircraft, high powered W.W.II
fighters have low aspect ratio prop blades, like big fat paddles, and the
low powered human powered aircraft (Albatross and the Condor), have very
high aspect ratio props (like Greenland sticks).

The thrust on the paddle is better understood by considering the low and
high pressure areas on the surfaces created by the movement of the fluid
over the blade.  It is the movement of the fluid over the surface that
generates the thrust, and it is NOT intuitively obvious how that occurs-- it
is a complex interaction between the surface and the fluid.  In an airplane
wing, the acceleration of the air (a fluid) over the wing surface creates a
low pressure area on top of the wing, and a high pressure area on the bottom
of the wing surface, generating "lift".  On a paddle blade, the useful
thrust is created by the low pressure side on the forward facing part of the
blade, and the high pressure generated on the aft facing surface.  This is
true for either vortex thrust or attached potencial flow thrust.   Most of
the thrust is generated on the low pressure forward facing side, and there
may be a small component of the drag that is useful to the stroke as well
but it is only coincidental.  If drag was the primary means of forward
motion from the paddle, you would be better off using a tennis racket for a
paddle rather than a smooth blade.

A low aspect ratio blade or a high aspect ratio blade can produce either
vortex thrust or potential flow thrust, but the higher the aspect ratio,
always the more efficient, in terms of energy-in vs. energy-out (i.e.
thrust).  But the higher efficiency is at the cost of limited maximum
thrust, hence the reason racers, WW and surf kayakers use low aspect ratio
blades, they require maximum thrust for relatively short distances.

And depending on the style of stroke you use, you do get mostly cord-wise
flow on a Greenland style paddle.  The motion of the water over the blade is
not quite obvious because the movement is more of a slicing action, and
there is the relative motion of the hull over the water.  If you pull a
Greenland paddle strait back it will flutter (it is stalled, and you have
alternating vortexes shedding off of each edge of the blade causing the
familiar flutter motion).  You have to either angle a Greenland paddle to
trap a vortex in one place (creating vortex thrust), or slice it through the
water (causing cordwise flow and generating potencial flow thrust) to avoid
flutter.   Tank tests will not allow for the relative movement of the hull
of 3 or 4 knots over the water, which will very significantly affect the
flow over the blade, unless you have the water in the tank moving several
knots aftward relative to the paddle.

So the same reason a high aspect sail plane wing is super efficient at lower
speeds, is the same reason a high aspect ratio native kayak paddle is also
efficient, at lower speeds.  And the same reason a aerobatic or fighter
needs the more stall resistant and higher lift generating low aspect ratio
wings, is roughly why the low aspect ratio paddles are better suited for
racers, WW and surf kayaking.  This stall resistance of the low aspect ratio
paddle would also be of benefit to beginners since the euro-style blade is
much less sensitive to technique.  The same issue applies to oars as well,
racers use low aspect ratio oars for maximum thrust, and for long distance
rowing at moderate speeds, high aspect ratio blades would be best.

Be it paddles, oars, wings or propellers, any time you generate thrust (or
lift) in a fluid, the same effects are always at work.  It is simply the
characteristic of fluid dynamic thrust: the higher the aspect ratio of the
surface, the lower the induced drag, but at the cost of maximum total
available thrust and stall resistance.

I hope this help clarify things.

Peter
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