Conceptual Development of Fluttering Oscillating Reciprocating Waving Flapping Blade Fin Foil Aerofoil
Airfoil Hydrofoil Wing Vane Windmill
Wind Tidal Fluid Kinetic Energy Convertor Flutter Engine Power
Introduction/Background/Prior Art:
There are at least four conceptual origins of ideas for oscillating wind
energy conversion:
1.The vaguest stems from study of Nature where the ease of bird flight and the
speed and leaping power of fish suggest
a remarkable efficiency to oscillating propulsion, indeed borne out by
metabolic measurements. However living organisms have
an infinite capacity for active control so attempting to copy their form in a
machine can be disastrous. Man's artificial wings had
to be inherently stable to control and as their speed was increased, very rigid
as well. Otherwise they were soon found
to develop unwanted and dangerous oscillations by themselves.
2. Such dynamic flutter of tailheavy control surfaces on flexible air-surfaces was
recognised as a spontaneous oscillating conversion of airstream
kinetic energy into vibration energy, but the flutter wind engine concept (Duncan) was entirely academic to aeroelasticians charged with preventing aircraft flutter in
its many possible modes.
3. Drawbacks to standard horizontal axis
rotary windmills provide another two, but more specific, sources of
inspiration. Firstly their motion converters (crankcases, gearboxes, and
generators) must be mounted on substantial towers for their rotors to be in
roughly uniform wind and to clear the ground which is where we want the power
and would prefer to do the installation and maintenance. Semirotary
oscillation of a wind surface from upright about a low pivot would seem much
more convenient. Especially as the increase in blade velocity with height would
roughly match the natural increase of the wind with height for near constant angle of attack
along the blade. (This is truest for a
laminar flow, favoured by low velocity, smooth terrain, and lack of
convection.) These strong practical kinematic reasons
for rotation
about a ground level pivot and thence for oscillation have been wantonly
ignored by (wind) tunnel vision
academics whose lab airfoils heave
vertically through pathetically small distances with inevitably miniscule
power for the size=cost of the airfoil,
of the impractical linear guides and of the tower to get to uniform and appreciable wind
outside.
4.Finally rotary windmills cranking deep
well reciprocating pumps are a very bad combination. Fundamentally the crank
connection of a wind rotor to the simplest form of borehole pump is a severe mismatch of speed
and torque characteristics that results for a typical wind regime in a net
efficiency of only 1/6 of the theoretical limit for an ideal load (angularly
constant back torque varying as speed squared) (Dixon) . Perversely the pump torque is angularly
varying but constant with speed. The
crank backtorque peaks in the middle of the upstroke and is
nil on the entire downstroke, so the rotor gets
STALLED at the peak in a pulsing light wind.
Even more non-ideally speed
doesn't increase the torque due to the FIXED STROKE of the crank. So in high winds the rotor turns faster than
ideal. My inspiration was that an
oscillating prime motion driven by the wind might better match such an
oscillating load, which turned out to be very true.
A
simple crank also has an impractically large side swing, requiring too big a
yaw bearing. So the side motion has to be reduced by vertical sliding
mechanisms running in oil, or large linkages with distant pivots and by keeping
the crank radius and stroke small. This small net vertical motion requires a
large diameter cylinder to achieve
enough stroke volume, and rigid stiff pump rod and droppipe
to transmit the motion to the cylinder. Nonetheless the rods are hard to make
stiff enough to push the pump piston down faster than all can fall under
gravity, so the conventional pump has a serious speed limitation. For
human-powering this prevents the use of the strongest muscle group in the body,
the legs whose natural walking rhythm is too high. Only weaker armpowering synchronous with the breathing rhythm is slow
enough. For small rotary windmills or pedal pumps which have high rpms, this requires reducing the speed with either gears or
chain drives, adding considerably to the cost.
The
rigid rods and droppipe make installation awkward.
Routine maintenance is further complicated by the retention of the water column
by the footvalve at the base of the cylinder, which
must be very watertight for
intermittent pumping with the inherently variable wind. So
'Closed-top' cylinders with a reduced diameter dropipe
must be lifted with the weight of the water column too, and then each length of
rod and pipe unscrewed as they emerge from the well. Losing the remaining
strings down the well is easy and hard and sometimes impossible to recover
from, and the well must then be abandonned. With
Open-top cylinders, only the pump rod string must be hoisted and unscrewed to
maintain the piston. There are a few OpenTop designs
with the footvalve in a conical seat which can be
extracted by either screwing on or hooking on the piston lowered down to screw
onto it or connected to the piston with a lost motion link. However extracting
this footvalve against
the full weight of the water column requires very hard even hammering pulls.
The release of the water column and recovery of the footvalve
makes pulling the
dropipe easier and less necessary.
The
design of an oscillating windmill led to a new approach to the wellpump also that overcame these practical problems of
existing reciprocating well pumps.
Design
requirements for oscillating windmills vs prior art
There
are many properties that any windmill must have, that have
not been met by any previous oscillating design. A windmill must self-start as the wind arises
but self-protect when it gets too strong, and must accept the wind from any
direction. If the base yaws to follow the wind, continuous yaw rotation as the wind
rotates around the compass several times, must not interfere with the power
output to terra firma ( though wind turbines often have limited wrap powr
cables). A practical use for a windmill must allow easy and low loss storage of
the output to absorb its continual fluctuations with the wind and interruptions
with calm to be
able to meet a requirement on demand. Note that conditions are much less
demanding of a run of tide mill and do not seriously apply for a run-of-river
mill.
An
oscillating windmill must withstand the extra inertial loads of continual
acceleration and deceleration. Roughly the ratio of inertial bending moments to
the total permissible scales as MATERIAL density( flowspeed
squared+/- gL) /fatigue limit stress showing an inherent limit on the DESIGN
(optimum) flowspeed irrespective of the FLUID density
and the machine size. The stream pendulum configuration largely escapes this
constraint because the two body forces nearly cancel everywhere. Otherwise this
is one significance of the weight specific fatigue strength having units of
speed squared, and note that wood easily beats steel and aluminum in this
parameter.
The
mill's load connection must absorb highly variable powers because the
wind's energy flux varies very strongly
with windspeed,
yet still allow the oscillation to start (and yaw) easily. Less so for a tidal mill and even less for a
river mill. Previous lab models involve mechanisms to kinematically
produce a linear (DeLaurier, Hien,
Clayton; and Jones, Platzer & Davids) or semirotary (Bade, Kentfield)
oscillating motion of a wind surface for one wind direction. They ignore that any such
mechanism will ensure destruction in
high winds. For with a prescribed amplitude and so stroke the
speed will increase with the wind as much as for the rotary machine but
here the inertial reactions will eventually surely overwhelm any
mechanism, no matter how ridiculously expensive and inefficient. These are at
best concepts for run of river mills where the flow stream is altogether
SLOWER, unidirectional and very steady, but all with bearings submerged and
very low linear to low semirotary (cross wind axis eg Trapp)swept to blade area.
Payne's
unisail oscillating vane ideas included a semirotary resonant oscillation of a wing about a ground
level pivot so that the inertial reactions are balanced elastically in a dynamic
oscillation of a certain natural frequency but he still imagined a mechanism to twist
the wing. How the varying power with windspeed would
be absorbed and ultimately limited was simply ignored.
In
fact with a dynamic oscillation Bielawa
observed that the oscillating vane
amplitude can be variable, but failed to exploit the fact. This variability is
actually essential for efficiently converting the highly changeable power
coming from the wind, at least for the constant force pump load
. Then a sufficiently non-linear conversion of amplitude to pump stroke
can realise a highly VARIABLE STROKE that 'endstops' the oscillation
absorbing whatever power it is generating . The one way (single-acting) pump load non-linearly opposing displacement CANNOT
STALL the oscillation if the wind dies abruptly, because then the spring is
unopposed in returning the oscillator back to the undamped
center. (Note that this makes the pumping frequency twice the oscillation
frequency; a stroke and return for each excursion away from equilibruim
and that the pump not only non-linearly damps the motion, it non-linearly
stiffens it.) So indeed the stalling and
fixed stroke problems of the rotary windpump CAN be
overcome in principle by a dynamically oscillating wind surface.
In
air compressing the ramping of airpressure during the
prelimary compressing up to outlet pressure adds a
load variation, so the rotary windpump has an even
lower mean/peak torque ratio for single acting but twin cylinders to increase it only cost more. Equally the above pump concept
suffers from small amplitudes being unable to compress the air to outlet pressure
so it then just reexpands on return to vertical
acting as an imperfect (and indeed unwanted spring). Also the air inlet is set
by the return of the previous swing whereas the power available to compress it
is set by the current next swing. A better approach would be for the
variation to be in the amount of ambient air admitted into the cylinder and to
exhaust all of that, rather than leave a variable amount of a constant charge
of air in the cylinder at the end of the compression for it to imperfectly re-expand.
Thus the cylinder could be bottomed out at the neutral vertical position driven by a
falling weight which is lifted (non-linearly) on the away strokes of the
pendulum. Naively since both works are linear with stroke, the weight's
acceleration when the inlet valve has just closed and cylinder pressure is low
can be balanced by its deceleration when the pressure rises above its equilibruim value to the
outlet pressure which would need to be closely regulated. But the
windmill's return limits the acceleration at small strokes meaning an unsafe
condition at the disproportionate large strokes, when the windmill can return
faster.
The
only real solution is to convert the oscillating windmill's variable stroke into a variable number of fixed aircompressing strokes,safely
averaging out the ramp with speed and the pendulum's inertia. The final
incomplete stroke will re-expand but this truncation loss can be made
negligible with a high enough conversion ratio. For
instance a small motorcycle piston with built in gearbox and replaced head can
be stroked many times
by the windmill stroke racheting the spocket slowly.
The
rotary windmill is more robust against loss of load as it just overspeeds until the apparent wind is so high there is nonet torque though there there will
still be downwind load on the rotor as a whole. The oscillating windmill
increases its amplitude for higher apparent wind too but unless entire
revolutions are permitted not sufficently to zero the
torque. This is impractical for any restoring force and defeats the advantage
of proximity of the pivot to the ground. Thus an alternating tank
water-compressing-air concept is not practical due to its spreading the
pressure ramp over multiple cycles. Instead the pressure ramp is gone over many
times within a cycle in the geared solution. And this ramp caused the fatal
problems in the 1:1 counterweight compressing scheme.
A
broad division of windmills (eg of rotary vertical
axis) can be made between crosswind lift and downwind (differential) drag
devices, as to the motion and corresponding component of aerodynamic force
which generates the
power. Lift is generally much superior on account of the
amplification of the magnitude of the true wind by the vector addition
of crosswind motion, allowing very high power from high speed x high torque from the
enhanced wind pressure. The speed ratio of crosswind movement to true windspeed has an optimum increasing with the lift to drag
ratio of the blade.
Unfortunately
obvious sources of high oscillating lift have high drags as well. For instance
Payne suggested using
a circular cylinder because the steady
separated flow with a vortex on each side of the rear is unstable to quickly
and alternately shedding these vortices generating a large oscillating lift. But this
von Karman vortex
shedding is so rapid relative to the windspeed
and diameter that the 0-pk amplitude is resticted to
say 2 diameters to keep the crosswind speed to roughly less than 3 times the windspeed when the net crosswind force from lift AND
drag turns negative. This small swept area severely restricts the possible
power (by rough actuator theory) as well as making the pump stroke awkwardly
small.
On wider
cross-sections with distinct corners between upstream & downstream
faces, the flow separates at the corner binding a more stable vortex
immediately downstream. If the wind shifts a bit to one side it separates less at the corner there and
more at the opposite corner so producing a net lift towards the near side, and if that produces motion to that
side, then the apparent wind will shift
even more and so on. (Den Hartog ) This sort of drag into lift
sideways divergence can amplify any
natural oscillation, for instance generating the wild rolling of sailboats running
before a strong wind. (Marchaj).
But the high drag inherent in these
vortex-shifting flows limits the benefit from
fast crosswind motion which
enhances the power most for the highest lift/drag ratios. Even
if the surface is a broadside circular arc airfoil like the running sail
(Lawson), it is very hard to wash away
the established stalled flow (ie both rear vortices)
and its high drag with high enough crosswind speed for long enough. Also the high drag, at rest,
can become too great to resist in storm winds, so it as well as the
oscillating lift have to be avoided
somehow in high winds to make a practical oscillating windmill.
Classic binary
aircraft flutter shows a way to generate high oscillating lift without high
drag, by using the highest lift to drag
cross-section, an airfoil, and letting it
twist as a second degree-of-freedom.
Then with even slight tailheaviness this foil
is unstable to a combined oscillation of foil crosswind motion and twisting
above a certain 'critical'
windspeed. The decisive virtue of this flutter
phenomenon as the basis of an oscillating windmill was not recognised by Bielawa or indeed previously in aeroelasticity: that with
not too much tailheaviness there may be another
higher critical windspeed at which this binary system
becomes stable again. This means no oscillation and no lift and only very
slight form drag in storm strength winds, ie INHERENT
HIGH WIND PROTECTION. I discovered this by conjecture and experiment
, and then confirmed it
analytically. In fact the flutter twist amplitude decreases continuously with windspeed curtailling the bending
monents in strong winds. These stress-limiting
features are the decisive advantage of the flutter variable (roll and twist)
amplitude approach.
Machine development
The fluttering
windmill concept of a wing twisting on a nominally upright axle
that can oscillate about a horizontal wind axis near the ground as motivated above had to be translated
into practical embodiments which accept winds from all direction
and non-linearly connect the oscillator
to the pump submerged in the ground or surface water to maintain prime with the
intermittency of the wind, and maximize the wind energy capture for the
structure needed. The latter immediately means that the configuration should
allow as large an oscillation of the wind surface as possible for more
power. In linear flutter theory the
power capture grows as amplitude squared with an eventual actuator theory limit
of power proportional to amplitude. Thus the semirotation
possible from vertical should be high, limited only short of contact on the
ground.
Bielawa used a
flexible composite support for roll stiffness for his wind tunnel model limiting the maximum roll deflection to
about 40 deg . In twist cantilever bearings were used
but also a torsional restraint as natural in aircraft
aeroelasticity. This unnecessary twist stiffness
would be highly stressed by the tailwind onslaught of a new breeze and for
large amplitude oscillation tailwinding of the wing when its
twist transiently exceeds 90 as the wind lulls causing a snap 270 rotation if
free. So it is simpler and more
practical to have the wing completely free in twist, and incidentally tap only the semi-rotary roll motion
relative to the ground for pumping. Note
that the decrease in twist/roll amplitude ratio with windspeed
means loading twist however non-linearly cannot contain the roll amplitude. Whereas loading roll non-linearly can contain both in normal winds.
To
allow a very small perturbation to static equilibruim
to develop to a decent amplitude and so power, it is essential that there be
effectively no pump stroke=braking back torque at small amplitude. But it must
develop continuously at intermediate amplitude because in light winds the speed
ratio grows quickly with amplitude and can become excessive so the power must
start to decrease due to drag if there is still no load to remove it. Naively to realize the optimum amplitude
which varies linearly with windspeed to keep the
speed ratio constant, and the optimum
power increasing as windspeed cubed, the stroke
should vary as (intermediate) amplitude cubed.
This should allow self-starting as the very small amplitude power at the
linear stability cutin windspeed
varies as amplitude squared. For high
winds, the optimum
amplitude is simply in the ground so the pump stroke must climb even more
quickly with large amplitude to hold it (just) below the interference limit.
The maximum stroke must exceed the maximum power at this limit vs windspeed which is fortunately
limited by the high wind return of the wing to dynamical stability..
Standard
ways of achieving a particular output function are non-circular gearing (eg elliptic) and cams. Here the load is single-acting,
suiting a cam and the simple Spanish coil tension convertor invented.
The output motion needs to be
substantially vertical suggesting a crank to a linear track which if it crosses center is near
cubic for semirotary oscillation of at least +/- 90. The
most practical layout is with the crank at the top of the pendulum just beneath
the driving wing but this makes the away motion downward which is only good for
pressure pumping water at or near the surface or possibly inertia pumping from
greater depth near the upper limit of design windspeed.
This design requires a stiff low friction sliding bearing which could be
provided by a very high quality stainless steel cylinder. Possibly a long swing
arm could be used if a yawing support for it can be provided.
Floating
Configuration Pond Pumping Fig's 1 & 2
The
variabilty of the wind direction introduces a third
degree of freedom to the basic binary flutter modes of crosswind roll and wing twist. The
obvious method is yaw of the roll horizontal axis under a tailvane
and this is easiest for a floating unit which could pressure pump the water.
(The floating can also easily provide low-loss roll motion with an internally
ballasted circular cylinder as hull . However this restricts the roll amplitude to well less than 90, and
so the power yield from a given size wing.) The special requirements for
the powertakeoff are yaw freedom and
non-linearity. Fortunately these can be
separated into two distinct components, the first being an ouput
pipe swivel incorporated in the anchor line. Actually the mass-machined pipe
union fitting just needs a setscrew to lock it into just the right tightness
for this . The anchor self adjusts well to the changes
in the water depth, and allows easily moving the entire unit and shore pipes.
Then
one simply has to devise a non-linear powertakeoff
unit that can yaw
with the hull but not roll with it. The
high roll stiffness needed for this roll reference suggests a catamaran unit . To try the cam the first choice is to which part to assign
the cam profile and which the cam follower. Here the wide catamaran base is
ideal for profiled rocker arms pivoted outboard so then the roller rotates centrally on
the pendulum. As the roll increases
glancing contact of the roller far from the rocker pivot changes to near
perpendicular contact close to the pivot for a huge increase in geometrical
advantage. A virtually straight rocker
arm can generate the initial cubic variation of stroke with roll with ultimately
even stronger variation near maximum amplitude. The rocker arms can be united
to the same pump with a short link that accounts for the variation in their end
distance, but this involves moving the two arms together when only one is being
actually depressed by the roller. The arm motion and friction is halved and the link
friction and lost motion is eliminated if they are connected to separate pumps.
The key dynamical advantage of this is that it trebles the time for gravity to return each arm
and piston for less flow friction in cylinder filling and 3 times the max
frequency.
With
the anchor at the bow of a ballasted central hull, the stern is convenient for
this pump catamaran which can then also support the tailvanes
to yaw the hull into the wind direction. There is the important consideration
of how to minimise yaw oscillations in sympathy with the main roll oscillation.
The primary source is the net downwind component of aerodynamic force acting on
the rolled wing for a first harmonic yaw torque. A torque of opposite phase can be generated
by mounting the wing (and conveniently the cam roller) on an upright axle at
the stern of the hull. The inertia of the elevated wing then reacts to the roll
acceleration by generating a virtual yaw torque about the center of the hull.
It might be thought that this stern location of the wing would help in the
tracking like on a downwind rotary machine, but here the wing is not paired and
completely free in twist so the separate tailvanes
are defintely needed.
Alternatively
a catamaran unit can support an elevated pendulum pivot between two cross
trusses with the pendulum just clearing the water surface, and the swiveling pipe union suspended from the bottom of the front
truss. The roller is then just above the counterweight and the rocker beams hang
down with the pumprod at their outboard ends rather
than counterweight. This simpler configuration has less roll friction and more
roll amplitude for alot more power.
Well-pumping Land
configurations
For wellpumping on
land, yawing the whole machine including roll counterweight in light winds can be critical on friction
without good bearings so it was worth considering another approach, two perpendicular horizontal axes instead of
yaw. This spherical pendulum idea is more elegant as there is no tailvane and no need to yaw the whole base including the
counterweight. On the immediate downside the maximum roll amplitude for a
spherical pendulum wing is necessarily less than 90 whereas the yawing design with an
elevated horizontal axis can have more, limited only by ground contact. The simplest movement
that works equally for all wind directions to
non-linearise into pump stroke is the increase
in distance of the bottom of the spherical pendulum from the ground point
directly below it at equilibruim.
Naively
the pendulum would roll about the wind direction with little pitch about the
crosswind axis because the binary oscillation reactions are second order, ie. mean and second harmonic in
that mode, and wouln't cause
resonance. In fact the immediate inspiration for the spherical pendulum was
that a satisfactorily working model of the floating unit was measured to
actually have a natural pitch frequency less than twice its roll. Ideally the Lissajous
figure of eight combining a bit of the right phased pitch second harmonic with
the roll fundamental could augment the power by moving the wing downwind
slightly in the direction of the large drag component in the large apparent
wind at maximum speed ratio
as the wing crosses vertical at maximum twist and then recovering
upwind again at the end of the roll when the twist and so the induced drag is
passing through zero and the wind is less closer to the ground. Detailled calculations showed modest enough (mean and
second harmonic) pitch response, but the phasing was not ideal so the predicted
power decreased about 10%.
But
with
the pitch frequency so decreased to equal the roll, another instability
shattered all assumptions as soon as a proper pump load was applied at full
scale. The center point
power takeoff negatively
damps a 90 out-of phase fundamental pitch oscillation which grows towards full
coning which it doesn't damp at all. Twin pumps to separately damp roll about
perpendicular horizontal axes
can't give isotropy and non-linearity at the same time, and can't be installed down the same well.
The
wing twist responds to the downwind acceleration by increasing on the downwind
moving side and decreasing on the upwind moving side. This creates a differential
drag that fuels or at least doesn't damp the downwind first harmonic. Usually
this peak twist will grow to exceed 90 and the wing eventually flips tail
first through the wind on the downwind side which kills most of the oscillation
which then rebuilds over several cycles until the same flip recurs and so on.
Because
of the
inability of a pump connection to tap/damp this
coning ROTATION, the spherical
pendulum configuration is fundamentally flawed. The best that could be done was
to use an offcenter pendulum frame horizontally
hinged to an intermediate frame perpendicularly hinged to the ridge of a giant 'sawhorse' frame
and copy the motion along the ridge beam with a parallel frame hinged to
the pendulum and then orient the copy arm with a small tailvane
and only allow it to rotate about this orientation by locking the copy arm yaw
at about 10 of roll. This did allow
rolls very close to +/-
90 for all wind directions and did avoid having to yaw the heavy pendulum into
the wind.
A
key component was invented for the non-linearisation
of the pendulum rope pull on these machines.
From a pulley at the ground center the thick rope was lead to a double drum
winch. There the rope was 'Spanish' coiled on itself
between two deep sideplates set a rope diameter apart
so an Arcimedean-type spiral was formed. The second
drum on the same shaft had a similiar coil of pump
belt but of opposite hand. As the input coil is unwound and the output coil
(and pump plunger) wound up, the torque arms change continuously from high
mechanical advantage at first to very low as the input coil becomes completely
unwound down to directly pulling on the steel winch shaft whose diameter is
comparable with that of the rope. This achieves a very non-linear conversion of
roll amplitude to
pump stroke with tremendous final amplification at the maximum permissible
amplitude, which was further increased by changing to a much stiffer (and more
durable) input line in the form of standard leaf chain. The net function is as
a non-linear pulley between pulls that can move anywhere in a planar
perpendicular to the axle and is conveniently located vertically above a well
so the belt directly pulls the pump plunger via intermediate wire. The stretch
of the wire is neglible compared to the enormous
strokes possible before the belt coil radius exceeds the well diameter 4"
or more. Also noteworthy is the tremedous
amplification of the
pendulum's angular displacement(0-100 ) into the winch axle's (0-1800) with the angular velocity stepup
even higher. For aircompressing on the low weight
sensitive floating configuration this winch pulled by the pendulum
counterweight with an output chain coil ratcheting
the motorcycle engine sprocket is the preferred solution with the air being
stored in the steel pontoon tanks.
On land, trying to yaw
a planar pendulum with its greater potential amplitude and power
was in fact no problem due to the high development and availability of truck
taper roller bearings. The entire wing
and pendulum to be yawed did weigh far less than a standard fanmill
even with the weight for direct aircompressing, but
the tailvane would have to be bigger to resist rapid
yawing in response to the desired binary oscillation. Alternatively the above
yaw locking on roll could be used on the whole machine.
The
machine configuration is defined firstly by the convenience of using the steel well-casing as a pile
foundation for the tower and of putting the Spanish belt coil directly over the
well at the top of the tower to directly pull the pump plunger. This winch should be as high as possible for
the maximum delivery head without needing a seal around the pump wire. So the winch was put above the roll axis with
the leaf chain pulled by the pendulum spar immediately below the wing which
minimizes the spar bending moment and so its weight which also must be
countered. This configuration also gives plenty of vertical distance for a
cylindrical weight to slide inside the tower and push below a big piston into a long aircylinder with
its bottom and outlet still at ground level.
Then
the question is whether to put the pendulum (immediately) downwind or upwind of
the tower. Again because of the lateral oscillation of the wing and so its drag
there is no possibility of self-steering like downwind rotary windmills. So with the downwind
weight of a tailvane, upwind location of the pendulum
can balance the net weight about the tower yaw axis for easy turning in light
winds without an expensive large diameter rolling element lower bearing encircling
the tower. More subtle is that the yaw reaction to the center of mass sway of
the pendulum in roll is then again opposed to the oscillating yaw torque of the
wing drag (though smaller than for the floating hull).
The
wing is more vulnerable in this well version because of the single pump without redundancy and the harder
base surface, so protection against overswings due to
loss of load is absolutely essential.
The first line of defense is a mechanism
zeroing twist at extreme roll, but allowing complete 360 twist
normally, exemplified by the cam mechanism.
This should at least limit the initial oscillation whilst the head
rebuilds after a calm long enough for a foot valve leak to empty the drop pipe.
The second line of defense for instance if the pump
wire fatigues is a hefty lock which latches more extreme roll and holds
it. This pendulum locking at horizontal
stops the oscillation and the base yaws out of the wind, clearly signalling to
the farmer that the pump needs attention.
Whereas the rotary windpump keeps on turning
and wearing with little sign that it isn't pumping at all.
Companion P5 WellPump development
The
Spanish coil winch is a pure tension convertor, which
can achieve very large output strokes with little lateral swing through a small
yaw bearing. A paramount pump selection consideration was maintaining tension
during a rapid downstroke to allow the fast pumping of small sizes of
the oscillating windpump in high wind areas.
The
solution arose indirectly in attacking the practical difficulty in releasing
the water column and retreiving the footvalve that is the bane of deepwell
reciprocating pumps. Instead of attaching it to the bottom of the cylinder,
consider extending it from the piston to slide in its own smaller bore lower
cylinder. It can then be pulled out with the piston from an open-top cylinder, releasing the water
column very easily. The sequence of valve opening and closing remains the same
as in the standard pump, but the output becomes the difference of the stroke
volumes of the piston in the upper cylinder and the foot valve in the lower.
Suppose
their ratio is 4:1 from a 2:1 diameter ratio. Then in the descending stroke the
water column loses 1/4 of its ascending advance and acts upon the footvalve and so the pistonrod
with 1/4 of its fullweight, the remaining 3/4 being
borne by the cylinder transition and so the droppipe.
The descent of the water in the lower cylinder with the foot valve helps
backwash the filter below.
But
also the maintenance of some tension on the downstroke
allows use of vinyl-coated wire and that in turn the jointed rigid dropipe with
continous flexible polyetheylene
tube which just arcs down to the ground as it is inserted into the well. These
give quantum improvements in ease of both piston or
complete droppipe removal.
Not
only is the downstroke return force greater than
can be transmitted from the wellhead
before the normal string of pumprods buckles, it is
less degraded by the motion than the dead
weight of such rods . For the rods can never fall under their own weight with
faster acceleration than g=10m/sec 2.
But here with the greater 1/4 the weight of the water column which is
only accelerating 1/4 as fast downwards, the piston can easily be accelerated
downwards faster than g. This allows longer and faster strokes than the
standard pump which means smaller diameter and cost droppipe
for the same output. Footpumping is too fast and too unidirectional for
normal cylinders but matches the P5 ideally.
In
the upstroke the drop-pipe's inner diametrical clearance adds the weight of an
annular water column to its own weight to resist the upward lift of friction of
the piston seal and of the
flow. For pressure pumping
to heads much above ground level, a normal bearing oilseal
is very effective on the vinyl-coated pumpwire. A
plain air tank can be used without an air bladder, as on the downstroke the descending water column can suck in air
through a snifter valve
below a non-return valve in the tank input pipe. In fact
especially with the Wing'd Pump this provides enough
flow of compressed air for
auxiliary use.
To
maintain good flow mechanical efficiency, the P5 must be carefully designed for
acceptable flow losses in the
upstroke when the net stroke volume must pass through the lower valve, reduced in diameter in the original concept.
The losses would have been too high, so the pump concept had to be
topologically developed, so the footvalve could
operate in the upper cylinder with not much less flow area than in a standard
pump.
Battery-charging option
The
flutter oscillating wingmill was inspired by the
important reciprocating end use in waterpumping and
its poor match with rotary windmills.
After the development of the Spanish coil winch, it was realised that it also effects a
major oscillarotary stepup
of about 15 from the slow pendulum angular velocity. This makes the winch shaft
much faster than the shaft of a comparable rotary windpump
and it alone within reach of a normal rotary single stepup
of standard alternator speeds for low cost secondary battery-charging. The
oscillation is easily rectified with a roller clutch on the hardenable
alternator shaft. Any such windcharger needs a switch
to energise the alternator field only when it is spinning fast enough, so
switching within each winch cycle costs little if no more.
The
choice of stepup was based on severely exposed
environment with high impact loadings, and the possibility of generating 24v as
+/- 12v with +12v field and a high stepup ratio.
Again looking at vehicle parts for cheapness and availability, a ring gear
& mating starter pinion (with built-in roller clutch) provided the highest
ratio, strength, durability, and efficiency and very low friction in the
rewind. The noise
penalty was minimised by mounting the ring gear on a sound-absorbing plywheel on the winch shaft. Ideally the pair should be run
in an oilbath for smoothness but keeping the oil in and
off the rest of the machine and rainwater out requires a complete enclosure
with a seal at the alternator at least; but a tarry
grease gives reasonably durable open lubrication.