Preferred embodiments of the invention will now be described, by way of example only, and with reference to the accompanying drawings in which:
a to 3d illustrate diagrammatically how breakwater device walls, according to a first aspect of the invention move relative to one another during the passage of waves of wavelength twice the distance between them;
a to 4d illustrate diagrammatically how wave energy is transmitted and can be absorbed by the device as illustrated in
a to 5d illustrates diagrammatically how by adding a third wall and associated energy absorbing device to the system illustrated in
a to 6d illustrate diagrammatically how an embodiment of the invention can use wave energy to produce propulsion into or with the direction of travel of the waves.
a to 13c illustrate diagrammatically how a device, according to a yet further aspect of the invention, is capable of accommodating relative motion occurring in different parts of a waveform in accordance with Bernoulli's theory of irrotational motion to prevent damage to a multi-hulled vessel;
Referring to the
Physics demonstrates that energy is transmitted through a body of water by means of a submerged oscillatory motion of the water mass about a relatively fixed datum. The fixed datum moves only gradually in the wave direction. This motion is known as an irrotational oscillation but can be referred to as “wobbling”. The wobbling motion is both up and down, as well as back and forth, and creates a coherent circular or elliptical oscillating, “wobbling” pattern about a point. The point is substantially stationary relative to the seabed. A phase shift between the vertical and horizontal oscillations determines: the direction of “rotation” of the oscillating pattern; the direction of travel of the progressive waves on the surface; and the transmission of energy in that direction. The presence or absence of this “wobbling” motion is the only difference between still water and that which has waves passing across it.
The coherent oscillatory motion of the water mass extends downwards from the surface, reducing exponentially in amplitude to about 5% of its size at the surface at a depth of ½ wavelength (λ/2). The oscillatory motion in the water is phase dependant. That is to say, when it is oscillating in the wave direction, it creates a crest and when it is oscillating against the wave direction it creates a trough. The momentum, force applied and distance travelled by the coherent mass of fluid in the wave is substantially the same in all directions, with fluid particles returning to almost the same position, relative to the datum, at the end of each cycle. The wave profile and it's motion across the water, therefore, only represents the transmission of energy through the water and not the motion of the water mass itself.
It can be shown that wave energy is transferred only by the difference in potential energy (height) of the coherent water mass when oscillating with the wave direction at the crest to that of the same water mass when oscillating against the wave direction in the trough. The fluid motion described is in accordance with the Bernoulli steady state integrated equation of motion and assumes irrotational flow and invariant fluid density throughout the bulk of the fluid. This theory therefore underpins the primary mechanism of energy transfer through water in the form of waves and is the theory on which this patent is based.
During this process a floating vertical plate like structure 7 will move backwards and forwards relative to the datum 16, by a total distance (measured at the water surface of approximately the wave height. The plate itself, however, has minimal effect upon the passage of the wave, and is virtually transparent to the passage of the energy.
A buoy 1, floating on the surface of the water transcribes a circle about the datum 16 of diameter approximately equal to the wave height. However, the buoy 1 does not itself rotate. This type of fluid motion is called an irrotational oscillation.
From
As mentioned above, the oscillating process occurring in the body of water is not restricted to the horizontal direction. Oscillation occurs in the vertical axis during the same time interval. This results in a circular or even elliptical complex oscillating motion.
In this configuration an embodiment of the invention is envisaged under conditions whereby tilt, stroke and distance measuring devices are incorporated into the device 15 to accurately measure wave height, wavelength and wave period. Further to this, delicate equipment (or personnel) located and supported approximately midway between plates 13 and 14 are subjected to only a minimum degree of lateral or vertical motion relative to the seabed.
As explained in
a shows how structure 13 is behind datum 16, as a wave trough passes and a wave crest approaches whereas structure 14 is in front of datum 17, as wave crest passes and wave trough approaches. The two structures 13 and 14 are therefore further apart than their nominal spacing, by about one wave height at the instant shown in
Motion is symmetrical about datums 16 and 17 when no energy is being extracted by device 15. In this condition plate like structures 13 and 14 are free to move backwards and forwards solely under the influence of oscillating water mass and the waves proceed virtually unaffected as explained above with reference to
a to 4d show how wave motion changes when energy is being extracted by pump 15. In this example progressive waves 2 are considered to approach from the left. Extraction of energy by the pump 15 means that relative motion must occur between plates 13 and 14 against a force f. It also follows that the external forces transmitted by plate 14 into the water (on its right hand side) and its motion (relative to datum 17) must always be zero or wave energy would be transmitted and lost.
a shows how the extraction of energy by pump 15 through the application of a force −f causes a reduction in trough depth 18 across plate 13 (In this description forces and motions to the left ie against the direction of travel of the waves are considered as negative and forces and motions to the right that is to say with the direction of the waves are considered to be positive although the exact opposite notation would work just as well). During this process plate 13 moves a distance −d to the left that is to say with the oscillating mass of water and the force times the distance means that a positive amount of energy +W will have been extracted from the wave.
In
As mentioned earlier, plate 13 must apply a force to the pump 15 as well as move relative to it so as to enable energy to be extracted. The equal and opposite reaction to this force however appears on plate 14 and this would cause it to be moved to the left and generate a wave trough to its right, if it were not resisted by an equal and opposite force to the right.
From the previous description of the oscillating motion within the waves, it is apparent that the direction of motion of the forces, within the wave, are reversed every half cycle. Therefore if plates 13 and 14 are positioned nominally half a wavelength apart, plate 14 will be acted upon by a force to the right which counteracts the force generated by pump 15.
In closer examination it is apparent that the level (energy change) across plate 13 must always be equal and opposite to the level (energy change) across plate 14 at all times, as action and reaction across the pump 15 must always be equal. The “level” change across plate 13 is thus replicated in reverse by the “level” change across plate 14, whereas the degree of level change is determined by the quantity of energy extracted by the pump 15. Different amounts of energy extracted produce different effects from these level changes. For example, if only a small percentage of the available energy is extracted, the level change 18a would be small in relation to the trough depth 24. Because this is replicated in reverse on plate 14, the level change 21a would also be small in relation to (intermediate) wave crest height 26. The reverse reaction force (generated on plate 14 by pump 15) is therefore not large enough to resist all of the force generated by wave crest 26. Any unresisted surplus 26a moves plate 14 to the right, transmitting some of the wave energy through to the right of plate 14 which is therefore transmitted through the system and lost.
If however the backpressure on pump 15 is increased the level (energy change) 18 across plate 13 correspondingly increases. The effect is that the transmitted wave trough depth 27 is reduced since the impinging trough depth 24 does not change. However, the trough depth 27, also determines the crest height 21, since they are both functions of the same reduced amplitude oscillating process. Thus, as the level difference 18 is increased, with increased backpressure from the pump 15, both the remaining trough depth 27 and the remaining crest height 21 reduce correspondingly. At a certain level of energy extraction (back pressure) the “level” difference 21a across plate 14 will match the still water level 22. Under these conditions there are no residual forces remaining on plate 14 to create a wave on its right hand side and therefore no horizontal motion occurs. The wave has therefore theoretically disappeared because the pump 15 has extracted all the oscillating energy entrained in it.
To assist in explanation the phrase “level” (energy change) has been used to define the different states occurring across the plates. This is because the energy in a wave is not directly proportional to its height but to the square of its height. Therefore directly measured height differences across the plates have to be mathematically computed using a square law to compare them with changes of energy. Secondly the shape of “real” waves is approximately Stokian and not sinusoidal. That is to say the steepness of curve is greater over wave crest 28 than it is through wave trough 29, as can be seen in
b shows how wave trough 31 is longer than wave crest 30 as measured along the mean “still” water line and demonstrates how, as the progressive waves pass, the natural motion of plate 13 as it moves back and forth will follow the point where the still water level intersects the wave surface profile.
a to 4d show the motions of a wave 2 and plates 13 and 14 throughout a full progressive wave cycle. From this series of “snapshots” it can be seen how balancing and cancelling of wave forces continues throughout the process. For example in
Two fundamental properties of the device can now be defined from the forgoing analysis. Firstly, plates placed one wavelength apart oscillate in a circular or elliptical pattern relative to the seabed, but in unison and without measurable differential motion between them. Secondly, plates placed half a wavelength apart oscillate in the same pattern, but diametrically opposed to each other, and create a differential motion approximately equivalent to two wave heights each wave cycle at the sea surface.
When the plates are positioned one wavelength apart, and fixed together, wave energy passes right through the device virtually unaffected; whereas when the plates are positioned approximately half a wavelength apart, or (n+½)λ wavelengths apart where n is a positive whole number including zero, theoretically energy can be extracted up to a quantity equal to the total amount available in the wave, by adjusting the resistive force (back pressure) of an energy absorber adapted to extract energy from the relative displacement occurring between the plates.
A further embodiment of the invention is now described with reference to
b shows how plates 32 and 33 move in a similar manner to plates 13 and 14 of
In fact wave energy can be extracted with maximum efficiency by the device from any wavelengths λ where the plate spacing is λ(n+½) between any two plates and n is a positive full number including zero. Thus for example spaceings of λ(0+½)=0.5λ, λ(1+½)=1.5λ, λ(2+½)=2.5λ etc between any two plates provide maximum energy absorption. In between these specific wavelengths the function of energy extraction is divided between different pairs of plates; an example of which is shown in
This creates a small, but not significant, drop in energy extraction efficiency at this wavelength. Energy can also be extracted from wavelengths, which are shorter than the distance between plates 33 and 34 and
Further to the above, real seas invariably comprise combinations of wavelengths creating a complex surface shape and pattern and this is the most common form usually encountered. As previously explained the shape, (which in this case can be more accurately described as the velocity and elevation of a particle at any instantaneous point on the surface), defines the single motion occurring at that point under the surface which has been created by the sums and differences of all the waves of different lengths passing through that point. The proposed embodiment of this invention employs this resultant differential motion, effectively extracting energy from all of the entrained different wavelengths, as if they were individually isolated one from the other. Further embodiments of the invention are now described with particular reference to
Aspects of the invention will be described with reference to: i) extraction of energy from waves; ii) marine propulsion using energy derived from waves; and iii) mitigation and compensation of destructive forces occurring between multi-hulled vessels.
a to 6d show how the horizontal oscillating forces and motions occurring within a water mass can be used to provide a means of propulsion both into and with the direction of the waves. Embodiments of the invention employing this principle are shown in
a to 6d, show the diagrammatic representation of a propulsion device that comprises two sets of vertically, oriented floating “louver” valves or arrays of louver valves 51 and 52. These valves allow water flow in the same direction only (in this case to the right) and present a solid impervious wall to water flow in the opposite (left hand) direction. The two louver valve arrays are coupled together half a wavelength apart by a fixed length connector 53 pin jointed to the arrays at both ends and are arranged orthogonal to the general direction of progressive waves 2 which in this example are considered to be approaching from the left.
b shows how two “discrete” blocks of water 54 and 55, shown hatched for clarity only, are moving in an irrotational oscillating manner during the passage of a wave overhead. Block 55, in the trough, is oscillating generally in the direction of arrow 56, that is to say in the opposite direction to that of the wave crest. This shuts the louver valves and pushes array 52 to the left. At the same time the louver valve array 51, which is a fixed distance of half a wavelength ahead of valve array 52, is acted upon by block of water 54, which is oscillating with the crest generally in the direction of arrow 57. This opens the louver valves and allows the mass of water to pass through the array. The whole device is therefore displaced a distance of approximately one wave height 58 to the left during this process, as can be seen from
In
The above description of the method of propulsion has been arranged to show how it can operate in the opposite direction to that of the waves because this offers the most unique properties. However, this method of propulsion can operate just as well with the waves simply changing the direction of operation of the non-return louver valves. For example the valves are now closed and are driven to the right at the crest, whilst the valves on the other set are open through the trough. In this way propulsion is equally effective with, as well as against, the direction of the waves. This propulsion is created by what is known as “first order wave effects”. However, second order wave effects will generate a percentage overall mass drift of the water in the direction of travel of the waves (for example 15%) which means that in reality the speed of motion of the device, with respect to the seabed, is about −15% of the mean speed against and about +15% of the mean speed with the wave direction. It will be appreciated that sets of louver valves may be controlled to operate in either or both directions so that the device may be propelled to the left or the right. It will also be appreciated that rudders could be attached to the arrays to enable “tacking” at an angle to the wave front with or against the wave direction and that an energy absorbing device of the type outlined in
Further applications of this invention are perceived, which do not involve solely the extraction of energy or methods of propulsion, but which utilise the underlying principle of irrotational oscillation within the water mass. One such example is the use of the invention in catamarans and other types of multi-hulled craft to prevent or inhibit strange and unpredictable handling characteristics in certain types of seas and to prevent additional high side loads being applied to the hulls. This applies particularly to catamarans, which have narrow, and deep widely spaced “wave piercing” hulls used mainly for speed and performance.
In this embodiment of the invention means is provided to enable the two hulls of a catamaran type craft to move in and out in a parallel way relative to each other a distance of at least two wave heights thus allowing the hulls to follow the natural oscillating process occurring within the water mass and preventing these loads being transmitted to the main structure. The process is described briefly below.
a to 13c show how the aforementioned principle may be employed.
a shows a wave-piercing catamaran with hulls that are floating in “discrete” blocks of water 62 and 63 and joined together with sliding interconnect 64.
Additionally means may be provided to allow a “serpentine” effect to occur between the hulls to follow the oscillating water pattern thereby ensuring that the hulls are always travelling at right angles to the local oscillating pattern to attain maximum penetration efficiency. A twin hulled craft as previously described, with a fixed bridge and subjected to a side sea whose wavelength is approximately twice the distance between the hulls experiences large, possibly damaging forces between these hulls created by this mass moment of the waves operating in opposite directions on each of the two hulls at the same time.
In a further embodiment, the interconnect 64 can be replaced by a device which operates to extract energy, both when the hulls are moving together as well as apart, as the twin hulled craft moves through the water. This attained energy can be used in a multiple of ways three of which might be to:
Means can also be employed such as a pantograph or other similar mechanisms to alter the mean distance between the hulls to match the half wavelength rule to provide maximum energy extraction from the system in differing sea states and wavelengths.
Wave energy absorption, compensating or propulsion means have been described. Plates or plate like structures, positioned in any attitude, provides the effect. The structures may, or may not, allow the passage of liquid therethrough. Valves may be incorporated in the structures so as to allow or facilitate the passage of liquid in one direction. The structures are submerged in different parts of, or below, a body of liquid, which is subject to the oscillating pattern caused by the passage of waves. Ideally wave energy absorption, compensation or propulsion is achieved through the control of the interaction between two or more of the aforesaid structures or between two or more structures interacting against the inertial mass of the body of liquid. This may be enhanced by exploiting, in a controlled manner, the flow of liquid through the structures in one direction only.
Switching on or off a breakwater device can be achieved by manually resetting the distance between its plates. For example moving the plates from half a wavelength to one wavelength apart will switch off the device. Switching off can also be achieved by removing resisting forces from interconnecting means.
The invention has been described by way of exemplary embodiments. It will be appreciated that variation to the embodiments described may be made without departing from the scope of the invention.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/GB03/04526 | 10/21/2003 | WO | 00 | 2/5/2007 |