The reprint article on his model of Waverley by Sandy Cousins in the 2012 special issue of Model Boats included the calculations below which you may find helpful. Richard Webb's Bournemouth Queen paddler used a conventional brushed motor and a reduction of 10:1
It does seem to be important that water cannot build up inside the paddle box.
Colin
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Paddle Drive
I connected the Como 432G multi ratio pile gear unit with its RE 385, 6v-15v motor (free speed on 12v, 12600 rpm, 0.25A) using 6v with a 6:1 reduction. This is a neat wee unit about half the cost of the Monoperm pile. This gave about 140 rpm in a bath trial, cavitating of course because there was no forward sailing. The motor drew 1 amp and became hot.
Consulting helpful Como, I changedto 12v, drawing 0.5 amp with a cool motor. My excellent neat wee reversing speed control was made and kindly supplied by Tony Stott.
While the ship's paddles run at about 45-50 rpm for 15 knots service speed (on her trials she did 18.5 knots at 56 rpm) I reckoned with my float fulcrum radius giving a circumference of 250mm I should want a scale appearance speed of about 1 knot maximum. So what rpm should I need?
1 knot = 0.5 m/sec
Scale speed for 15 knots;
Ship knots = (15/66) x 0.5 = 0.092 M/sec scale
With no slip, (0.92/0.25) x 60 = 221 rpm
Circumference of paddle circle = 250mm. Therefore, 1 rev moves 0.250 M with no slip.
I did some experimenting in the pond to settle the gearing reduction to achieve a real looking model speed. With a pile gearing of 5 x 4 = 20:1, I got 350 rpm (dry), 300 rpm in the water with a model speed of about 0.7 M/sec. Quite a lot of water was being lifted into the tunnel.
I changed the gearing to 3 x 4 = 12:1 reduction. The model speed increased only marginally. The paddle seemed to be digging the water rather than pushing it back. Water was still lifting into the tunnel and falling out of the fan.
I cut away the aft side of the tunnel and part of the bottom of the inside of the paddle box up to the first porthole to allow the water to eject from the paddle.
The speed increased, practically no water came out the fan and I had a good bubbling wake, all at about 300 rpm.
At 300 rpm the no slip speed would be 300 x 0.25 = 75 M/min.
Actual model speed 60 M/min.
Therefore, propulsion efficiency (60/75) = 0.80
Therefore slip 20%
A fork coupling enclosed in a foam disc links the motor pile output to the drive shaft. The motor is mounted on a bracket (supplied) over the 2 - 6v, 3 A/Hr batteries secured in the canoe.
When the paddles and drive shaft were first assembled the shaft could barely be turned by hand. I set up a power drill drive, and with everything oiled, started it at slow speed. With some trepidation I watched and listened. I half expected a crunch as the paddles disintegrated into a tangle of brass and wire. Surprise, surprise, nothing happened, so after about ten minutes I increased the speed by stages until in half an hour I was up to 200 rpm. With bags of confidence I went for my dinner and on my return found the drive shaft could be spun by my fingers as all the bearings - 37 in all - had eased.