REPORT
Table of Contents
1. LIST OF TABLES ………………………………………………………………….Error!
Bookmark not defined.v
2. LIST OF FIGURES……………………………………………………………..........v
3. ACKNOWLEDGMENT …………………………………………………………...vi
4. ABSTRACT………………………………………………………………………….1
Waves are an excellent source of energy, are a natural resource, and are renewable. Waves
in shallow water are one of the best ways to capture this energy as this is when the wave
energy is at its maximum (potential and kinetic) points. How much energy is captured
depends upon a number of factors: wave translation, wave height, the number of waves in a
set period, the type of converter used and its efficiency of capturing both the potential and
kinetic wave energy.
To maximize the amount of energy that can be extracted from a near shore wave the simplest
method of converting the mechanical energy of this natural renewable resource to a very
usable medium (i.e. electricity) is via piezoelectricity.
This paper will touch upon
fundamentals of efficient and economical extraction of energy from ocean waves as well as
discuss design considerations utilizing piezoelectricity as an energy converter. It can be
shown that the capture and storage of shallow wave energy in this manner is comparable to
energy generated from other sources, such as fossil fuels, solar power, and hydrodynamic.
5. INTRODUCTION / BACKGROUND……………………………………………….4
5.1. Why Near Shore Ocean Waves are a Good Choice for Energy Extraction
Ocean wave are a naturally occurring phenomenon as well as a renewable energy source.
Waves form in water when it is excited by external forces, such as wind, vibrations,
displacement, etc.
Waves are efficient carriers of energy, imparted by the wind most
commonly. The water medium translates this energy from its point of initiation outward
forming visible waves as the environmental conditions change. “The global power potential
represented by waves that hit all coasts worldwide, has been estimated to be in the order of
1TW (1 terawatt = 1012W). Although this is only a small proportion of the world’s wind
power potential, which, in turn, is only a small portion of global solar power, ocean waves
represent an enormous source of renewable energy.
From (Musial, 2008) we find wave energy increases with latitude and has greater potential on the
west coast of the United States because global winds tend to move west to east across the Pacific
Ocean. The total energy contained in the waves is dependent on the linear length of wave crest,
the wave height and the wave period. Wave energy resource assessments have been performed
by the Electric Power Research Institute (EPRI) and the methods for calculation are well
documented.
Table 1 shows the gross wave energy resource by region. This is an estimate of the energy
contained in the incident waves if it were converted to electricity.
US Wave Resource Regions (>10kW/m)
TWh/yr
New England and Mid-Atlantic States
100
Northern California, Oregon and Washington
440
Alaska (exclusive of waves from the Bering Sea)
1,250
Hawaii and Midway Islands
330
Table 1 – Wave Resource by Region
Just below the ocean surface, average power flow intensity is typically 2–3kW/m2 of envisaged
area perpendicular to direction of wave propagation. This increase in power intensity, and also
the fact that wave energy is more persistent than wind energy, stimulate motivation and hope for
developing the, still rather undeveloped, wave-power technology to a prosperous mature level in
the future. If the technology can be successfully developed, the market potential is enormous.
This paper will focus on the visible waves that form at the shore as this is where the most energy
can be harnessed. The energy per unit surface area in a wave is related to the square of the wave
height. The wave speed and wave length decrease in shallow water, therefore the energy per unit
area of the wave has to increase, so the wave height increases.
This is known as wave shoaling.
In fluid dynamics, wave shoaling is the effect by which surface waves entering shallower water
increase in wave height (which is about twice the amplitude). It is caused by the fact that the
group velocity, which is also the wave-energy transport velocity, decreases with the reduction of
water depth. Under stationary conditions, this decrease in transport speed must be compensated
by an increase in energy density in order to maintain a constant energy flux. Shoaling waves will
also exhibit a reduction in wavelength while the frequency remains constant.
In shallow water and parallel depth contours, non-breaking waves will increase in wave height as
the wave packet enters shallower water. Cresting and breaking usually occurs when wave height
= depth of water.
By capturing the energy of a wave while it is at maximum mechanical motion that energy can be
most efficiently captured. This energy can be harnessed to be used in other forms. It can be
applied to a selective apparatus to be translated into usable energy, in this case electricity.
“Exploiting the low, variable frequency motion of waves, and coupling the power to a fixed
frequency and fixed voltage grid system, is a challenging task which device designers have
tackled in different ways”. One of the benefits of near shore wave energy extraction over
offshore is that it is next to the power grid systems that such as system would feed into. This
would result in saving energy loss as a result of transmission.
The many different proposals and principles for wave energy conversion may be classified in
several ways. These are useful for seeing the differences and similarities between various wave
energy converters (WECs). They may be classified, e.g. according to location (off-shore, nearshore or onshore; floating, submerged or bottom-standing), according to type of energy
conversion machinery (mechanical, hydraulic, pneumatic or directly electrical), and according to
type of energy for end use (electricity, water pumping, desalination of seawater, refrigeration,
water heating, propulsion).
WECs may also be classified according to their horizontal extension and orientation. If the
extension is very small compared to a typical wavelength, the WEC is called a point absorber.
On the contrary, if the extension is comparable to or larger than a typical wavelength, the WEC
is called a line absorber, but the terms attenuator and terminator are more frequently used. A line
absorber is called an attenuator or a terminator if it is aligned parallel or normal to the prevailing
direction of wave propagation, respectively. An early example of a terminator was proposed by
Salter, several “ducks” pitching with respect to a common horizontal cylindrical cylinder, the socalled spine. It was found necessary to divide the long cylinder into shorter cylindrical sections,
hinged together. The spine still resists twisting, but complies to bending moments. This spine
development has now evolved to the Pelamis, which is a device of the attenuator type. A typical
device of the point-absorber type is a heaving axisymmetric body, a pulsating submerged
volume, such as the AWS device, or an open-sea located oscillating water column (OWC)
device. Most of the proposed OWC devices have pneumatic power take-off. A list of various
wave energy converters is located in APPENDIX 10.6. It can be observed that the majority of
these applications are designed to operate in off shore conditions and few have application for
near shore.
This thesis proposes that by capturing wave energy at maximum mechanical motion an
optimized extraction of this energy can occur from near shore waves. Then by coupling this
energy extraction to a device that efficiently converts the mechanical motion into electricity,
such as piezoelectric materials, that can be fed into local power grid systems this model becomes
a comparable solution in comparison to conventional energy generation techniques.
To perform this thesis, research of wave energy background and theory will be performed with
specific interest in coastal applications and interaction with submerged surfaces. An analysis of
an ideal wave at near shore will be reviewed and energy extraction calculations generated. From
these formulas, a device will be conceived to extract the most amount of energy from the wave
form with the intent to minimize loss and maximum output of usable energy. This device should
take into the environmental conditions and location, durability, and service life.
5.2. Near Shore Considerations
Waves lose energy, in particular in shallow water, mainly by wave breaking and by friction
against the seabed. If the shore is rocky and steep sufficiently down into the water, then wave
reflection may be more important than wave dissipation. The variability of wave conditions in
coastal waters is, generally, very large compared to offshore waters. Near-shore variation in the
wave climate is compounded by shallow-water physical processes such as wave refraction,
which may cause local ‘‘hot spots’’ of high energy due to wave focusing particularly at
headlands and areas of low energy in bays due to defocusing. In addition, other coastal wave
processes such as wave reflection, diffraction, bottom friction, and depth-induced breaking
effects may have some influence. As such, it can be concluded that these influences will
generally result in variation of expected energy inputs to a system or at most energy loss from
ocean waves prior to extraction. This should be evaluated when considering where to place a
near shore wave energy extraction device.
Other considerations:
Beach / Shore Erosion and Changes Over Time
Marine life
Navigation and Interaction with people
5.3. Near Shore Wave Energy
The APPENDIX 1 wave formulas can be used to understand wave motion and energy and be
used to help formulate ways to utilize that energy. In this section, we will focus on the energy
extraction requirements.
In general ocean waves are unsteady, irregular, and directional. An instantaneous picture of the
ocean offshore will generally reveal several wave trains with different wavelengths and
directions. In contrast to a single-frequency sinusoidal wave propagating in a particular direction,
a real sea wave may be considered as composed of many elementary waves of different
frequencies and directions.
T
Regular waves + Irregular waves for a specific period (T) equal a resultant  S ( f )df . This is also
0
known as Superposition. By taking advantage of this we can resolve the surge (X-dir.), sway (Y-dir.), and
heave (Z-dir.) motion of the wave from forces in X, Y, and Z into X’ and Z’ by applying the resultant on a
symmetric damper.
Per unit area of sea surface a stored energy amounting to an average of

2
E  gH mo
/ 16  g  S ( f )df
(1)
0
is associated with the wave, where  = 1030 kg/m3 is the mass density of sea water, and g =
9.81 m/s2 is the acceleration of gravity, whereas H mo is the significant wave height for the actual
sea state. This stored energy is equally partitioned between kinetic energy, due to the motion of
the water, and potential energy. The latter half-portion is due to mechanical work performed
when the flat water surface is being deformed to a wave. This work corresponds to water lifted
against the gravity force from wave troughs to wave crests. For wavelengths exceeding a few
centimeters, the capillary force (surface tension) has a negligible contribution to the potential
energy. The integrand S(f) is the wave spectrum. Its unit is m2/Hz, and it describes quantitatively
how the different wave frequencies, f, contribute to the wave energy. In practice, the integral in
Eq. (1) is, as an approximation, replaced by a summation over a finite number of wave
frequencies. For a sinusoidal wave with amplitude H/2, where H is the wave height (the vertical
distance between crest and trough of the wave), Eq. (1) for E is applicable provided H mo is
replaced by H 2 . Taking as a typical value, H = 2m or H mo = 2.83 m, we get E = 5.05 kJ/m2.
Two ways to extract linear and vertical energy are through the use of two forces, namely
buoyancy and drag.
Buoyancy is historically defined by Archimedes Principle: Any object, wholly or partly
immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the
object. This results from the fact that fluid pressure increases with depth and from the fact that
the increased pressure is exerted in all directions (Pascal's principle) so that there is an
unbalanced upward (Lift) force on the bottom of a submerged object as shown in Figure 2:
Figure 2: Buoyancy
Drag force is caused mainly by separated flow in viscous fluid. Drag force is a function of the Reynolds
number and surface roughness of a body, and the Keulegan-Carpenter number, especially in oscillating
flow.
Drag Force and Lift Force
If a bluff body is located in a steady current or wind, the fluid flow is separated just behind the body and
turns to wake with separated vorticity. The drag force and lift force occur on the body. The drag force FD
is in-line force and the lift force FL is transverse force with regard to the fluid flow direction, which are
expressed respectively as follows;
FD  1 C D 
2
    S A * V
FL  2 C L 
where ρ is the fluid density, the drag coefficient CD and lift coefficient CL are the function of configuration
of a structure, SA is the projected area of a structure, and V is the relative velocity of a fluid. Strictly
speaking, the coefficients CD and CL are dependent on the Reynolds number, however, in full-scale case,
the Reynolds number is relatively high in turbulence range and the CD , CL are almost functions of the
configuration of a structure.
Practical values for CD are 1.17 for a circular cylinder and 0.5 for a sphere.
Practical values for CL are 0.13 for a circular cylinder and 1.5 for a sphere.
SA = projected area
Sphere
Cylinder
2
 X '   r 
 ' 2 
 Z   r 2 
 X '  width * height / 2
 '

r 2

Z  
** for an equal radius where w = r and h = 2r, the cylinder has the larger projected area in X’ direction
u 
V = relative velocity of the wave =  w
 
Through a free body diagram and the conservation of energy, we can relate the vertical and horizontal
forces between the wave and a partially submerged object. We would want to choose a partially
submerged object prior to the wave breaking because this is where the energy is at maximum. The
extractor should also be positioned prior to the dispersion of this energy during wave breaking. This is
explained by Blenkinsopp as “Wave breaking is associated with the generation of high levels of
turbulence, air entrainment, noise and splash, all of which must contribute to the energy dissipation and
which are seen to increase with wave breaking intensity as waves become more plunging in nature. A
relationship between breaking intensity and initial energy dissipation, showing that the total energy
dissipated in the breaking event for each wave case increases as the relative cavity area becomes larger,
i.e. as the intensity of breaking increases.” i.e. This is when the wave is at its highest point and right
before it crashes over.
Weight of
Extractor
Fd
Force of wave
Fb

Figure 3 - Picture from Blenkinsopp
 = angle of the tether
From figure 3, we can take the sum of the forces in X and Z direction (assuming that the extractor is of a
uniform thickness and small compared to the wave in the Y direction, we can assume that Fy is << than Fx
or Fz and equate to 0).
As a result, an object that resists both the translation of the wave and vertical movement of the wave
would transfer a portion of this energy through the tether to an apparatus where is could be transformed.
5.4. Extraction and Damper Definition
The physical law of conservation of energy requires that the energy-extracting device must
interact with the waves such as to reduce the amount of wave energy that is otherwise present in
the sea. The device must generate a wave, which interferes destructively with the sea waves. ‘‘In
order for an oscillating system to be a good wave absorber it should be a good wave generator’’.
As discussed above, total wave energy is a combination of potential and kinetic energy that
results from the vertical (Z - heave) and horizontal (X – surge) translations; (Y – is known as
sway). As such, an apparatus that would maximize energy transfer would have to be able to
utilize both the vertical and horizontal energy. By understanding what the maximum energy that
can be extracted from both the heave and surge, was can design and optimized damper to absorb.
When considering heave, it should be considered as an advantage that practically all the volume,
of e.g. a heaving-float system, could be ‘‘used to displace fluid and thus to generate outgoing
waves’’.
Falnes advocates that an economic wave-energy converter should have a large
working area (wave-oscillator interface) relative to its size, and that this area should have a
relatively large oscillating speed. Secondly, he indicates that the working area should preferably
be resonant or ‘‘quasi-resonant’’. Corresponding to optimum wave interference, there is an upper
limit, P, to the amount of absorbed wave power (energy) that can be extracted from a wave by
means of a particular oscillating system, PA.
P  PA  c T  H 2
(9)
where c   (h /  ) 3 / 128  245Wm 2 s 3 ,   3 , and T is the wave period. According to
inequality (9) the values of absorbed power, as well as of converted useful power are bound to
the region below the, fully drawn, increasing curve in Fig. 2.
Taking physical limitations into account, another limit to P exists, Budal’s upper bound, for the
ratio of extracted energy to the volume of the immersed oscillating system, PB. Unless the
recommendations are followed, the performance of a WEC may typically correspond to figures
that are one to two orders of magnitude below Budal’s upper bound.
P  PB  c0VH / T
Where the wave height H  2A0 , where c0  g / 4   7.9kW / m 4 / s , with   1 , where V
is the volume of the heaving body, and A0 is the elevation amplitude of the incident wave.
These two formulas help us set limits to our wave energy absorber design volume based around
anticipated wave T and H for a known location for heave (see Fig. 2).
5.5. Piezoelectricity as Energy Converter
Understanding these concepts it is possible to transfer the mechanical wave energy through a
medium to generate electricity. This could happen in a number of ways. Machines such as
pistons, generators, flywheels, and piezo-electric would be ideal for generating electricity
from mechanical energy.
Energy-Harvesting Rubber Chips Could Power Pacemakers, Cell Phones - “Of all piezoelectric
materials, PZT is the most efficient, able to convert 80% of the mechanical energy applied to it into
electrical energy.”
5.6. Energy Storage and Transmission Considerations
6. THEORY / METHODOLOGY………………………………………………………5
6.1. Design Considerations
In consulting (Wave Energy), when thinking of location the author recommends, “For designers
to convert the slow movement of water to a more easily used and transmitted form, normally
electricity, they must choose a converter that changes the mechanical wave energy. In
interfacing with the waves, any converter must be constrained so that wave forces are resisted.
Ways of constraining a converter for consideration are (shown in Figure 2):
—using the sea-bed for fixing or mooring;
—mounting several converters on a common frame or spine so that relative motion is obtained
between them;
—using the inertial force due to the gyroscopic action of a flywheel;
—relying on the mass and inertia of the device.”
Figure 1.
6.1.1. Environment and Impacts
6.1.2. Sustainability
Want to understand
6.2. Wave Energy Conversion Calculations
6.2.1. Define Wave
6.2.2. Define Mechanical Capture / Damping
6.2.3. Define Generator / Piezoelectric
Energy-Harvesting Rubber Chips Could Power Pacemakers, Cell Phones - “Of all piezoelectric
materials, PZT is the most efficient, able to convert 80% of the mechanical energy applied to it
into electrical energy.”
6.2.4. Efficiency Calculations
6.3. Energy Storage and Transmission Considerations
1.1.1. Fly-Wheels
1.1.2. Transmission Lines
1.1.3. Other
2. RESULTS / DISCUSSION…………………………………………………………..6
2.1. Near Shore Piezoelectric Converter
The overall amount of energy gained would depend upon the efficiency of the converter used and the
location and intensity of waves.
2.2. Comparison to Alternatives
2.2.1. Efficiency
2.2.1.1.
Other near shore devices
2.2.1.2.
Power Plants
2.2.2. Costs
2.3. Environmental Impact
2.4. Global Trends
3. CONCLUSION……………………………………………………………………….7
3.1. Conclusions
Waves are excellent sourced of energy, are a natural resource, and are renewable. Waves in shallow
water are one of the best ways to capture this energy as this is when the wave energy is at its maximum.
Wave energy can be categorized in both potential and kinetic, where the potential energy is a factor of the
wave amplitude and displacement and the kinetic energy is a factor of the translation of the particles.
These energies can be captured using opposing forces such as drag and buoyancy.
How much energy is captured depends upon a number of factors: wave translation, wave height, the
number of waves in a set period, the type of converter used and its efficiency of capturing both the
potential and kinetic wave energy.
3.2. Recommendations
3.2.1. Improvements
3.2.2. Considerations
3.2.3. Future Research
4. REFERENCES / BIBLIOGRAPHY………………………………………………..10
5. APPENDICES……………………………………………………………………....11
5.1. List of Symbols
5.2. Definitions
5.2.1. Wave Shoaling - In fluid dynamics, wave shoaling is the effect by which surface
waves entering shallower water increase in wave height (which is about twice the
amplitude). It is caused by the fact that the group velocity, which is also the waveenergy transport velocity, decreases with the reduction of water depth. Under
stationary conditions, this decrease in transport speed must be compensated by
an increase in energy density in order to maintain a constant energy flux.
Shoaling waves will also exhibit a reduction in wavelength while the frequency
remains constant.
In shallow water and parallel depth contours, non-breaking waves will increase in
wave height as the wave packet enters shallower water. This is particularly evident
for tsunamis as they wax in height when approaching a coastline, with devastating
results.
5.2.2.
5.3. Basic Wave Equations and Theory
The following explanation of wave theory is taken from (Meadows) so we can understand the
basics behind ocean waves. Wave formation, motion, and energy can be described as follows
and viewed in Figure 1. – Wave Basics:
Figure 1. – Wave Basics
The wave height, H, is the vertical distance between its crest and leading trough. Wavelength, L, is the
horizontal distance between any two corresponding points on successive waves and wave period is the
time required for two successive crests or troughs to pass a given point.
The celerity of a wave C, is the speed of propagation of the waveform or how fast it travels (phase
speed), defined as C = L/T, where T = time. It is of note that waves entering shallow-water begin to show
a net displacement of water (visible wave) in the direction of propagation and are classified as
translational in their movement. The equilibrium position used to reference surface wave motion, (still
water level, SWL) is z = 0 and the bottom is located at z = –d.
Small-Amplitude Wave — Properties
The equation for the free surface displacement of a progressive wave is
The expression relating individual wave properties and water depth, d, to the propagation behavior of
these waves is the dispersion relation, sigma2,
where g is the acceleration of gravity.
(1)
From this equation (1) and the definition of celerity (C) it can be shown that
and
(2a, 2b)
The hyperbolic function tanh kd approaches useful simplifying limits of 1 for large values of kd (deep
water) and for small values of kd (shallow water).
Applying these limits results in expressions for shallow water where
(3)
which shows that wave speed in shallow water is dependent only on water depth. Some useful
functions for calculating wave properties at any water depth, from deep water wave properties
reference in Meadows, are
.
(4)
Values of d/L can be calculated as a function of d/Lo by successive approximations using
.
(5)
Particle Motions
The horizontal component of particle velocity, u, beneath a wave is
.
(6)
The corresponding acceleration, ax, is
.
(7)
The vertical particle velocity, w, and acceleration, az, are respectively
(8)
and
.
(9)
It can be seen from eqns. (6) and (8) that the horizontal and vertical particle velocities are 90 deg. out of
phase. Extreme values of horizontal velocity occur in the crest in the direction of wave propagation, and
the trough in the direction opposite to the direction of wave propagation while extreme vertical
velocities occur mid-way between the crest and trough, where water displacement is zero.
The u and w velocity components are at a minimum at the bottom and both increase as distance upward
in the water column increases. Maximum vertical accelerations correspond to maximum in horizontal
velocity and maximum horizontal accelerations correspond to maximum in vertical velocity. Figure1
provides a graphic summary of these relationships.
The particle displacements can be obtained by integrating the velocity with respect to time and
simplified by using the dispersion relationship to give a horizontal displacement
(10)
and vertical displacement
(11)
where (xo, zo) is the mean position of an individual particle.
Pressure Field
The pressure distribution beneath a progressive water wave is given by the following form of the
Bernoulli Equation
(12)
where  is fluid density and Kp, the pressure response coefficient, is
which will always be less than 1, below mean still water level.  gz is the hydrostatic pressure and
 g Kp(z) v is the dynamic pressure term. This dynamic pressure term accounts for two factors that
influence pressure, the free surface displacement and the vertical component of acceleration. A
frequently used method for measuring waves at the coast is to record pressure fluctuations from a
bottom-mounted pressure gage. Isolating the dynamic pressure (PD) from the recorded signal by
subtracting out the hydrostatic pressure gives the relative free surface displacement
(13)
where Kp(–d) = 1/cosh kd.
It is necessary, therefore, when determining wave height from pressure records to apply the dispersion
relationship to obtain Kp from the frequency of the measured waves. It is important to note that Kp for
short period waves is very small at the bottom (–d), which means that very short period waves may not
be measured by a pressure gage.
Wave Energy
Progressive surface water waves possess potential energy from the free surface displacement (vertical)
and kinetic energy from the water particle motions (translational). From linear wave theory it can be
shown that the average potential energy per unit surface area for a free surface sinusoidal
displacement, restored by gravity, is
(14)
Likewise the average kinetic energy per unit surface area is
(15)
and the total average energy per unit surface area is
.
The unit surface area considered is a unit width times the wavelength L so that the total energy per unit
width is
(16)
The total energy per unit surface area in a linear progressive wave is always equi-partitioned as one half
potential and one half kinetic energy. Energy flux is the rate of energy transfer across the sea surface in
the direction of wave propagation. The average energy flux per wave is
where
and Cg is the group speed defined as the speed of energy propagation.
(17, 18)
In deep water n = 1/2 and in shallow water n = 1 indicating that energy in deep water travels at half the
speed of the wave while in shallow water energy propagates at the same speed as the wave.
Wave Breaking
Waves propagating into shallow water tend to experience an increase in wave height to a point of
instability at which the wave breaks, dissipating energy in the form of turbulence and work done on the
bottom. Breaking waves are classified as: spilling breakers generally associated with low sloping
bottoms and a gradual dissipation of energy; plunging breakers generally associated with steeper
sloping bottoms and a rapid, often spectacular, “explosive” dissipation of energy; and surging breakers
generally associated with very steep bottoms and a rapid narrow region of energy dissipation. A widely
used classic criteria applied to shoaling waves relates breaker height, Hb, to depth of breaking, db,
through the relation
.
(19)
However, this useful estimate neglects important shoaling parameters such as bottom slope (m) and
deepwater wave angle of approach (  o). Meadows4 uses the following to solve for breaker depth (db),
distance from the shoreline to the breaker line (xb) and breaker height (Hb) as
(20)
and
(21)
where m = beach slope and K = Hb /db
The author makes note that wave breaking is still not well understood and caution is urged when
dealing with engineering design in the active breaker zone.
TABLE 1: Wave Formulas4
5.4. Piezoelectric Energy Equations
5.5. Other References
Density of everyday substances (in g/cm3)
Water Vinegar Ice Salt Water Milk(Skim)
1.00
0.78
0.92 1.03
1.033
1030 kg/m3 0.037 lb/in3 64.3 lb/ft3
Rubber, hard 1.2(103 kg/m3) 1.2 g/cm3 74 (lb/ft3)
Rubber, soft commercial 1.1(103 kg/m3) 69 (lb/ft3)
Rubber, pure gum 0.91 - 0.93(103 kg/m3) 57 - 58(lb/ft3)
Density of Silicone:
0.968 to 1.29 grams per cubic centimeter for the silicone most people think of (implants). That's
60 to 80 lbs per cubic foot. For comparison, water has a specific gravity of 1, or about 62.4 lbs
per cubic foot. Also for comparison, there are about 7.5 gallons in 1 cubic foot. A gallon of water
weighs about 8.3 lbs.
Mechanical Properties
Name:
Butadiene Rubber
Ethenepropenediene
Rubber
Natural Rubber
Styrenebutadiene
Rubber
Nitrile Rubber
Young's
modulus
Mpa
Tensile
strength
MPa
Elongation
%
Physical Properties
Thermal
expansion
e-6/K
Thermal
conductivity
W/m.K
Glass
temperature
°C
Service
temperature
°C
Density
kg/m 3
NA
10-15
200-400
6.5-6.6
0.25-0.25
-100 - -50
-70 - 70
900 - 1000
Technical general purpose rubber as 1.4-polymerisation product of polybutadiene with dominating cis-config
be equal to polybutadiene in general as produced throughout Europe. The strenght, heat buildup and wea
addition of 25% carbon black. Butadiene rubber is almost exclusively applied as a neccesary component
strongly the wear resistance.
2-10
10-20
250-500
NA
0.26-0.26
-55
-40 - 65
Production of 1 kg product including mixing and vulcanisation. Flexible, weather-resistant.
860
1-5
20-30
750-850
6.7
0.13-0.42
Incineration 45,2 MJ/kg. Moderate injection mouldability.
910 - 930
-70
-50 - 85
2-10
10-25
250-700
6.7
0.2-0.25
-65 - -50
-30 - 70
940
Copolymer of Styrene and Butadiene in a 23/77% ratio mixture reinforced with 30% carbonblack. Average d
Copolymerisation data assumed equal to the polymerisation process of the components. Oxidation-, wate
resistance against organic solvents and mineral oil.
2-5
10-20
200-500
NA
NA
-40 - -20
-35 - 110
1000
Copolymer of Acrylonitrile and Butadiene in a 30/70% ratio mixture. Average data from the European i
assumed equal to the polymerisation process of the components. Permeability for gasses is poor. Oil resist
(90%) of all rubbers. Very good resistance against oil and other organics.
5.6. List of wave energy converters
Table A gives an overview of the existing energy conversion devices for near-shore to offshore
and offshore situations both operational and those in advanced stages of development. Main
information sources are Wave Energy Conversion by John Brooke in 2003 and the assessment
on Offshore Wave Energy Conversion Devices of the Electricity Innovation Institute by Mirko
Previsic from June 2004. The devices are split between the different conversion techniques and
small pictures give an indication of their functioning. Definition of 'operational' energy conversion
devices and 'advanced stage of development' by John Brooke:
"The operational category comprises full-scale devices, chiefly prototypes, that are currently
operating (or have operated) where the energy output is utilized for the production of energy or
other purpose; also includes full-scale devices at an advanced stage of construction." The
advanced-stage-development category comprises: (a) devices of various scales including fullscale, that have been deployed and tested in situ for generally short periods, but where the
energy output has not been utilized for the production of electricity or other purpose (in most
cases plans call for such devices to be further developed and deployed as operational wave
energy systems); and (b) full-scale devices planned for construction where the energy output
will be utilized for the production of electricity or other purpose."
Classification of basic energy conversion principles:
A Heaving or pitching bodies
B Oscillating water column
C Pressure devices
D Surging-wave energy converters
E Particle motion converters
F Overtopping devices
5.7.