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"Hull design approach for Waterbikes"
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2 Hull design approach
2.2 Propulsion power
When designing a hull, minimum resistance is the prime focus for
waterbikes. Designing a hull for minimum resistance however, depends
on the sailing speed under which the performance should be best.
Design speed is related to hull resistance, depending on the
available propulsion power and efficiency loss. Therefore it begins
with starting from the available propulsion power.
The power that humans can provide depends on a lot of factors:
body shape, age, training, pedal revolutions per minute, leg
position, etc. Figure 2.9 shows an indication of human power over
time. Measurements [4] were carried out on a home trainer in a
laying configuration. The persons involved had ages of about 25
years and from Holland (where everybody has a bike). It is expected
that reducing the laying angle gives some increase of power over
time. This is due to the fact that blood supply towards the legs
improves.
Bikes on flat roads can go faster when the biker is laying extremely
backward and the air resistance reduces drastically. In case of
boats, speeds are much lower and the influence on air resistance is
less, but not negligible. In many cases a laying configuration is
also preferred because of ship stability behaviour against heeling.

Figure
2.9 Human power versus time, measured on a home trainer in a laying
configuration
It also appears that the rates per minute preferred by humans in
order to supply power vary in relation to the time period that power
has to be provided along a range of 60 to 110 rates per minute.
Figure 2.10 gives an impression of the average cycling rates per
minute for humans [4].

Figure
2.10 Cycling rates per minute, preferred by humans for their power
supply
2.3 Hull resistance
With the power supply being available, as indicated in the
previous paragraph, energy to overcome the hull resistance for
moving forward can be provided.
In Figure 2.11, the different resistance characteristics are shown
for the hull types being considered. The characteristics are an
indication for waterbikes, carrying 2 persons with a boat length of
6 meters. They depend on main dimensions, hull shape, trim and
weight of the waterbike. For the hydrofoil, the wings and struts are
included. Appendages such as rudders and propulsion shafts are
considered as having minor influences and being equal for all
configurations. L/B is the length versus beam ratio of the different
hull types. The hydrofoil consists out of a slender mono-hull with
side hulls and a large wing amid ship.
From the resistance characteristics, the hull energy can be derived,
Figure 2.12.

Figure
2.11 Indications of ship resistance versus ship speed, 4 hull types

Figure
2.12 Indications of hull energy versus ship speed, 4 hull types
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