Chapter 1
Introduction and Project background
Introduction
Unmanned underwater vehicles
(UUV), sometimes known as underwater drones, are any vehicles
that are able to operate underwater without a human. Unmanned underwater vehicles (UUV), which are controlled by a remote human operator
Unmanned Underwater vehicle is a robot which is operated
automatically. It is a watercraft capable of independent operation underwater.
It differs from a submersible, which has more limited underwater capability.
The term most commonly refers to a large, crewed, autonomous vessel.
Most large submarines consist of a cylindrical body with
hemispherical (or conical) ends and a vertical structure.
An underwater vehicle is a mobile robot
designed for aquatic work environments. It is operated via a remote. A human operator sits in a shore-based
station, boat or submarine bubble while watching a display that shows what the robot "sees."
An (UUV) is an underwater vehicle which
is linked to a battery that carry electrical power, video
and data signals back and forth between the operator and the vehicle through transceiver. Additional equipment is commonly added to expand the
vehicle’s capabilities. These may include sonar's,
magnetometers, a still camera, a manipulator or cutting arm, water samplers,
and instruments that measure water clarity,
light penetration and temperature.
History
The first AUV was developed at the Applied Physics Laboratory at the University of Washington as early as 1957 by Stan Murphy, Bob Francois and later on, Terry Ewart. The "Special Purpose Underwater Research Vehicle", or SPURV, was used to study diffusion, acoustic transmission, and submarine wakes.
Other early AUVs were developed at the Massachusetts
Institute of Technology in the
1970s. One of these is on display in the Hart
Nautical Gallery in MIT. At the
same time, AUVs were also developed in the Soviet
Union (although this was not
commonly known until much later). [1]
In 1980s UUVs became essential when new offshore development exceeded the
reach of human
divers. A serious stagnation in technological development has faced by UUVs
industry in mid 1850s due to global economic recession. Since then there is was
increase in research and development of underwater
remotely operated vehicle and now a day’s modern UUVs can perform
variety of tasks and projects. Modern UUVs can perform inspection of subsea structures,
pipelines and platforms to connecting pipelines and placing underwater
manifolds. It is used in initial construction of subsea development repair and
maintenance. UUVs is also used to locate historic wreck and
to recover material from sea floor as well as in oil and gas industry for
exploration purposes.
Types of
underwater vehicles:
There are different types of UUV classified on the basis of size, weight
and power. Some of them are as following.
There are 3 main
types of submarines. They are:
Pleasure Submarine:
Pleasure submarines are
generally very small and expensive, used by the rich people to admire marine
life.
Scientific
submarines:
Scientific submarines are used to investigate the bottom of oceans or lakes and bring back biological samples or relic. One of the most popular scientific submarines is “DSV Alvin”, a 16-ton deep ocean research submersible that was the first and foremost
Figure 2:scientific submarine
maneuverable deep sea research vessel. The DSV Alvin is one of the
few craft in subsistence that can travel
more than about half a mile under the surface of the
ocean. Most other craft, including military submarines, would be entirely
crushed at a depth of no more
than half a mile. The vessel was made possible by the
development of syntactic foam, a composite
material that consists of minute
hollow micro-spheres implanted in a larger structure. The microspheres decrease
its density while maintaining strength, facilitating for deeper dives. [2]
Military
submarines:
Military submarines are used for naval wars, recon, and to hold nuclear weaponry, making up an essential node of the nuclear chord along with ballistic missiles and heavy bombers. The largest and top most expensive submarines are all used by the militaries of the world, especially the US, UK, and Russian military. One example would be the “American Seawolf” class submarine, which has a displacement of 8,000 tons, length of 353 ft (107 m), width of 40 ft (12 m), and, due to its nuclear power plant, a range limited only by the food supplies and sanity of the crew.
These submarines can go anywhere on Earth where the World
Ocean stretches, including the water underneath the floating ice of the North Pole.
Different types of submarine:
Diesel-electric: In 1928 the United States Navy's Bureau of
Engineering proposed a diesel-electric transmission; instead of driving the
propeller directly while running on the surface, the submarine's diesel would
drive a generator which could either charge the submarine's batteries or drive the electric motor. Either
way, the submarine would have to surface daily to get oxygen for fuel
combustion underwater or to charge the batteries before diving back
Nuclear Power: Nuclear-powered submarines have a
relatively small battery and diesel engine/generator power
plant for emergency use if the reactors must be shut down. Nuclear power is
now used in all large submarines. The single biggest advantage with
nuclear-powered submarines is that they continue to function submerged for
months without ever having to surface
Alternative
propulsion:
Oil-fired steam turbines powered the British submarines, built during the First
World War and later, to give them the surface speed to keep up with the battle
fleet. By the end of the 20th century, some submarines, such as the British
Vanguard class, began to be fitted with pump-jet propulsions instead of
propellers. Pump-jet is a marine system that creates a jet of water for
propulsion. [3]
The Navy has three types of submarine, each with a
different purpose
The guided-missile
submarines: These
carry up to 154 cruise missiles for land attacks and they
also support other naval operations.
Ballistic missile submarines: These carry nuclear missiles for
intercontinental attacks.
The attack
submarine class: These
targets enemy ships and submarine, lay mines and collect
intelligence data. [4]
Types of submarine according to size:
Micro underwater vehicle:
This class of underwater remotely operated vehicle is in
smaller size and weight. It weight is up to 3 kg and it is used in those places where the diver is not able to
approach that place physically example sewer, pipeline or small cavity. It is shown in following fig.
Figure 4: micro underwater vehicle
Mini underwater vehicle
This vehicle is used as an alternative and it weight is
around 15 kg. One person is able to control and guide it from the small ship via a joy
stick. Both Micro and Mini classes are referred to as
"eyeball" class to differentiate
them from ROVs that may be able to perform intervention tasks. A typical mini
UROV is shown in fig 5. [5]
Figure 5: mini water vehicle
Summery:
At this stage, different types of UUVs classed on the
operational characteristic, basis of size, weight and power discussed in this
section. Micro and mini UUVs models advantages and
disadvantages also discussed. At this stage,
considered to design an unmanned underwater vehicle because it is unmanned
vehicle to save the human life (diver). The characteristic
of this vehicle is less weight and design for
5m depth. To choose a best design performance, functionality, neutral buoyancy, stability,
3d mobility and Camera system are much important factors. A detail review of Components of
UUVs also added in this section. Its application in
Sonar technology, Military purpose,
underwater construction with the help of Robotic Arm and
many more. The effecting parameter in
underwater discussed in next Chapter 2.
Chapter 2
Theory and LITERATURE REVIEW
Viscosity:
Viscosity is a measure of
the resistance of a fluid to deformation under shear stress. It is commonly
perceived as "thickness", or resistance to pouring. Viscosity describes
a fluid's internal resistance to flow and may be thought of as a measure of
fluid friction. Thus, water is "thin" having a low viscosity, while
vegetable oil is "thick" having a high viscosity.
Types of
Viscosity
Viscosity (Dynamic)
The SI physical unit of dynamic viscosity is the Pascal-second (Pa·s), which is identical to 1N·s/m2 or 1 kg/ (m·s). In France there have been some attempts to establish the Poiseuille (Pl) as a name for the Pa·s but without international success. Care must be taken in not confusing the poiseuille with the poise named after the same person. The cgs physical unit for dynamic viscosity is the poise (P) named after Jean Louis Marie Poiseuille. It is more commonly expressed, particularly in ASTM standards, as centipoise (cP). The centipoise is commonly used because water has a viscosity of 1.0 cP (at 20 °C). 1 poise = 100 centipoise = 1 g/ (cm·s) = 0.1 Pa·s (Pascal second). [6]
Viscosity (Static)
The SI physical unit of kinematic viscosity is the (m2/s). The cgs physical unit for kinematic viscosity is stokes (abbreviated S or St), named after George Gabriel Stokes. It is sometimes expressed in terms of centistokes (cS or cSt). In U.S. usage, stoke is sometimes used as the singular form.1 stokes = 100 centistoke = 1 cm2/s = 0.0001 m2/s. Viscosity of some common materials given in table 1 below. Table 1. Viscosity of Gases Some dynamic viscosities of Newtonian fluids are listed below in table 2.
Liquids (at 20 °C)
|
Viscosity (Pa·s)
|
Water
|
1.025 × 10-3
|
Table 1
Gases (at 0 °C)
|
Viscosity (Pa·s)
|
Hydrogen
|
8.4 × 10-6
|
Air
|
17.4 × 10-6
|
Xenon
|
21.2 x 10 – 6
|
Table 2
Ethyl alcohol
|
0.248 × 10-3
|
Acetone
|
0.326 × 10-3
|
Table 3
Viscosity of Dynamic Newtonian Fluids.
Viscosity of Dynamic Newtonian Fluids.
Newton
Theory
when a shear stress is applied to a solid body, the body deforms until the deformation results in an opposing force to balance that applied, equilibrium. However, when a shear stress is applied to a fluid, such as a wind blowing over the surface of the ocean, the fluid flows, and continues to flow while the stress is applied. When the stress is removed, in general, the flow decays due to internal dissipation of energy. The "thicker" the fluid, the greater is resistance to shear stress and the more rapid the decay of its flow.
In general, in any flow, layers move at different velocities and the fluid's "thickness" arises from the shear stress between the layers that ultimately oppose any applied force. Velocity
and shear stress relation shown in fig. 6 below.
Figure 6: newton theory
Relationship
between velocity and shear stress
Isaac Newton postulated that, for straight,
parallel and uniform flow, the shear stress, τ, between
layers is proportional to the velocity
gradient, ∂u/∂y, in the direction perpendicular to the layers,
in other words, the relative motion of the
layers. Here, the constant μ is known as the coefficient
of viscosity, viscosity, or dynamic
viscosity. Many fluids, such as water and most gases satisfy
Newton's criterion and are known as Newtonian
fluids. Non-Newtonian fluids exhibit a more complicated relationship between shear stress
and velocity gradient than simple linearity. [7]
Reynold
Number
In fluid mechanics, the Reynolds number (Re) is a dimensionless number that gives a measure of the ratio of inertial forces to viscous forces and consequently quantifies the relative importance of these two types of forces for given flow conditions
.
Reynolds numbers frequently arise when
performing dimensional analysis of fluid dynamics problems, and as such can be used to
determine dynamic similitude between different experimental cases.
They are also used to characterize different flow regimes, such as
laminar or turbulent flow: laminar flow occurs at low Reynolds numbers, where viscous forces are
dominant, and is characterized by smooth, constant fluid motion turbulent flow occurs at
high Reynolds numbers and is dominated by inertial forces, which tend to produce chaotic
eddies, vortices and other flow instabilities.
Reynolds number can be defined for a number of different situations
where a fluid is in relative motion to a surface. These definitions generally include the fluid
properties of density and viscosity, plus a velocity and a characteristic length or characteristic
dimension. This dimension is a matter of convention – for example a radius or diameter is equally
valid for spheres or circles, but one is chosen by convention. For aircraft or ships, the
length or width can be used. For flow in a pipe or a sphere moving in a fluid the internal diameter
is generally used today. Other shapes such as rectangular pipes or non-spherical objects have an
equivalent diameter defined. For fluids of variable density such as compressible gases or
fluids of variable viscosity such non-Newtonian fluids, special rules apply. The velocity may also be
a matter of convention in some circumstances, notably stirred vessels. The inertial forces,
which characterize how much a particular fluid resists any change in motion, are not to be confused
with inertial forces defined in the classical way.
Where: V is the mean velocity of the object relative to the fluid (SI units: m/s)
L is a characteristic linear dimension, (travelled length of the fluid;
hydraulic diameter when dealing with river systems) (m)
μ is the dynamic viscosity of the fluid (Pa·s or N·s/m² or kg/(m·s))
ν is the kinematic viscosity (m²/s) ρ is the density of the fluid (kg/m³).
Pressure
Pressure is defined as force per unit area. It is usually more convenient to use pressure rather than force to describe the influences upon fluid behavior. The standard unit for pressure is the Pascal, which is a Newton per square meter. For an object sitting on a surface, the force pressing on the surface is the weight of the object, but in different orientations it might have a different area in contact with the surface and therefore exert a different pressure. Pressure distribution shown in fig. 2.0 below.
Figure 7: pressure on body
Fluid Pressure
Fluid pressure is the pressure at some point within a fluid such as water or air.
Fluid pressure occurs in one of two situations:
Fluid pressure is the pressure at some point within a fluid such as water or air.
Fluid pressure occurs in one of two situations:
1.
An open
condition, called "open channel flow"
2. · The ocean
3. · Swimming pool
4. · The atmosphere
2. A
closed condition, called closed conduits
· Water
line 24
· Gas line
· Gas line
Pressure in open conditions usually can be
approximated as the pressure in "static" or nonmoving conditions,
because the motions create only negligible changes in the pressure. Such
conditions conform to principle of fluid
static. The pressure at any given point of a non-moving
(static) fluid is called the hydrostatic
pressure.
Closed bodies of fluid are either "static" when the fluid is
not moving, or "dynamic" when the fluid can move as in either a pipe or by
compressing an air gap in a closed container. The pressure in closed conditions conforms to the
principles of fluid dynamics.
The concepts of fluid pressure are
predominantly attributed to the discoveries of Blaisi Pascal
and Daniel Bernoulli. Bernoulli Equation can
be used in almost any situation to determine the pressure at any point in a fluid. The
equation makes some assumptions about the fluid, such as
the fluid being ideal and incompressible. An
ideal fluid is a fluid in which there is no friction, it
is in viscid, zero viscosity. The equation is
written between any two points in a system that contain the same fluid. [8]
Hydrostatic Pressure
Hydrostatic pressure is the pressure exerted
by a fluid at equilibrium due to the force of gravity.
A fluid in this condition is known as
hydrostatic fluid. The hydrostatic pressure can be
determined from a control volume analysis of
an infinitesimally small cube of fluid. Since pressure is defined as the force exerted on a
test area (p = F/A, with
p: pressure, F: force normal to area A, a: area), and the only force acting on any such small cube of fluid is the weight of the fluid column above it, hydrostatic pressure can be calculated according to the following formula:
p: pressure, F: force normal to area A, a: area), and the only force acting on any such small cube of fluid is the weight of the fluid column above it, hydrostatic pressure can be calculated according to the following formula:
Where:
· p is the hydrostatic pressure (Pa),
· p is the hydrostatic pressure (Pa),
· ρ is the fluid
density (kg/m3),
· g is gravitational
acceleration (m/s2),
· A is the test area (m2),
· z is the height
(parallel to the direction of gravity) of the test area (m),
·
z0 is the height of
the zero reference point of the pressure(m).
For water and other liquids, this integral can be simplified
significantly for many practical
applications, based on the following two assumptions: Since many liquids can be considered incompressible, a reasonably good estimation can be made from assuming a constant density throughout the liquid. (The same assumption cannot be made within a gaseous environment.) Also, since the height h of the fluid column between z and z0 is often reasonably small compared to the radius of the Earth, one can neglect the variation of g. Under these circumstances, the integral boils down to the simple formula.
applications, based on the following two assumptions: Since many liquids can be considered incompressible, a reasonably good estimation can be made from assuming a constant density throughout the liquid. (The same assumption cannot be made within a gaseous environment.) Also, since the height h of the fluid column between z and z0 is often reasonably small compared to the radius of the Earth, one can neglect the variation of g. Under these circumstances, the integral boils down to the simple formula.
Where H is the total height of the
liquid column above the test area the surface, and patm is the atmospheric pressure, i.e., the pressure calculated from the remaining
integral over the air column from the liquid surface to infinity. Hydrostatic pressure has
been used in the preservation of foods in a process called Pascalization. Hydrostatic pressure in
water tank is shown in fig. below. [8]
Archimedes Principle:
The magnitude of the upward force (buoyant
force) of an object immersed in a fluid is equal to
the magnitude of the weight of fluid
displaced by the object. Archimedes principle shown in fig
Figure 8: Archimedes Principle
Stability of Unconstrained Submerged Bodies
in Fluid
§ The equilibrium of a body submerged in a liquid requires that the weight of the body
acting through its center of gravity should be collinear with equal hydrostatic lift acting
through the center of buoyancy.
§ In general, if the body is not homogeneous in its distribution of mass over the entire
volume, the location of center of gravity G does not coincide with the center of volume,
i.e., the center of buoyancy B.
§ Depending upon the relative locations of G and B, a floating or submerged body attains
three different states of equilibrium Let us suppose that a body is given a small angular displacement and then released. Then it will be said to be in
§ Stable Equilibrium: If the body returns to its original position by retaining the originally vertical axis as vertical.
§ Unstable Equilibrium:
If the body does not return to its original position but moves
further from it.
§ Neutral Equilibrium: If the body neither returns to its original position nor increases its displacement further, it will simply adopt its new position. [9]
Specific
Gravity:
Specific gravity is defined as the ratio of
the density of a substance to the density of water. Water
has a specific gravity of 1.0: any object
with a specific gravity less than 1.0 will float in water
and anything with a density greater than 1.0
will sink. The human body has a density slightly less
than that of water and averages a specific
gravity of 0.974, therefore we float. Also, known as relative density, the ratio of the density of a
substance to that of a reference material at a specified temperature, usually water at 4°C. If the
specific gravity (sg) of an inert substance is less than unity, it will float in water at 4°C. The sg of
liquids is measurement with a hydrometer. [10]
Drag:
Resistance to motion through a fluid as
applied to aircraft and spacecraft passing through the atmosphere, it is the
component of the resultant force due to relative airflow measured parallel to
29 the direction of motion. It is directly
opposed to thrust. Lift is one of the four forces of flight
acting on an airplane, the others being
weight, thrust, and lift.
Drag is generated by nine conditions associated with the motion of air particles over an aircraft. There are several types of drag – form, pressure, skin friction, parasite, induced, and wave which are described below.
The term "separation" refers to change from the smooth flow of
air as it closely hugs the surface of a wing to where it suddenly breaks free of the surface, creating a
chaotic flow. The picture to the right shows examples of air flowing past a variety of objects. The
bottom shows well behaved, laminar flow (flow in layers) where the flow stays attached
(close to the surface) of the object. The object just above has a laminar flow for the first half of
the object and then the flow begins to separate from the surface and form many chaotic tiny vortex
flows called vortices. The two objects just above them have a large region of separated flow. The
greater the region of separated flow, the greater is the drag. This is why airplane designers
go to such effort to streamline wings and tails and fuselages – to minimize drag. Form and
pressure drag shown. [11]
Figure 9: drag
forces
2.7.
Types of Drag
2.7.1. Form and Pressure Drag
Form drag and pressure drag are virtually the same type of drag. Form or pressure drag is caused by the air that is flowing over the aircraft or airfoil. The separation of air creates turbulence and results in pockets of low and high pressure that leave a wake behind the airplane or airfoil (thus the name pressure drag). This opposes forward motion and is a component of the total drag. Since this drag is due to the shape, or form of the aircraft, it is also called form drag. Streamlining the aircraft will reduce form drag, and parts of an aircraft that do not lend 30 themselves to streamlining are enclosed in covers called fairings, or a cowling for an engine, that have a streamlined shape. Airplane components that produce form drag include
(1) The wing and wing flaps
(2) The fuselage
(3) Tail surfaces (4) Nacelles (5) Landing gear
(6) Wing tanks and external stores (7) Engines
Skin
Friction Drag
Skin friction drag is caused by the actual contact of the air particles against the surface of the aircraft. This is the same as the friction between any two objects or substances. Because skin friction drag is an interaction between a solid (the airplane surface) and a gas (the air), the magnitude of skin friction drag depends on the properties of both the solid and the gas. For the solid airplane, skin fiction drag can be reduced, and airspeed can be increased somewhat, by keeping an aircraft's surface highly polished and clean. For the gas, the magnitude of the drag depends on the viscosity of the air. Along the solid surface of the airplane, a boundary layer of low energy flow is generated. The magnitude of the skin friction depends on the state of this flow. Friction on leading edge of wing is shown in fig. 2.4 below. Fig. 2.4 Friction on leading edge of wing [13]
Figure 10:skin friction drag
Parasitic Drag
Parasite drag is simply the mathematical sum of form drag and skin friction drag.
Parasite drag = form drag + skin friction
drag
Induced
Drag
Induced drag is the drag created by the vortices at the tip of an aircraft's wing. Induced drag is the drag due to lift. The high pressure underneath the wing causes the airflow at the tips of the wings to curl around from bottom to top in a circular motion. This results in a trailing vortex. Induced drag increases in direct proportion to increases in the angle of attack. The circular motion creates a change in the angle of attack near the wing tip which causes an increase in drag. The greater the angle of attack up to the critical angle (where a stall takes place), the greater the induced drag. Induced drag shown
Figure 11: Induced drag
Thrust:
Thrust is a reaction force described
quantitatively by Newton's second and third laws. When a
system expels or accelerates mass in one
direction, the accelerated mass will cause a force of
equal magnitude but opposite direction on
that system. UUVs generates thrust (or reverse thrust) when the propellers are turned to
accelerate water backwards (or forwards). The resulting
thrust pushes the boat in the opposite
direction to the sum of the momentum change in the water
flowing through the propeller.
Where,
·
T is the thrust generated (force)
· dm/dt is the rate of change of mass with respect to time (mass flow rate of exhaust);
· v is the speed of the exhaust gases measured relative to the rocket. [12]
Stability
of Unconstrained Submerged Bodies in Fluid
- The equilibrium of a body submerged
in a liquid requires that the weight of the body acting through its center
of gravity should be collinear with equal hydrostatic lift acting through
the center of buoyancy.
- In general, if the body is not homogeneous
in its distribution of mass over the entire volume, the location of center of gravity G does not coincide
with the center of volume, i.e., the center of buoyancy B.
- Depending upon the relative
locations of G and B, a floating or submerged body attains three different
states of equilibrium-
Let us suppose that a body is given a small
angular displacement and then released. Then it will be said to
be in
- Stable Equilibrium: If the body returns to its original position by retaining the originally
vertical axis as vertical.
- Unstable Equilibrium: If the body does not return to its original position
but moves further from it.
- Neutral Equilibrium: If the body neither returns to its original position nor increases its displacement
further, it will simply adopt its new position.
Chapter 3
Design and
calculations
Design
under Consideration:
Figure 12: UUV design under consideration
This is also an
aesthetic and eye catching design model, the main difference in this design
than the previous two designs is the placement of only one depth controlling
thruster instead of two depth controlling thrusters. There is only one thruster
in the upper cylinder to control UUVs submersion and bring it upward in the
water. Motion in one direction of depth controlling thruster causes increase in
UUV depth while motion in other direction cause decrease in UUVs depth. Driving
control concept is same as previous designs. Thrusters on both left and right
are used for drive control i.e. forward, backward, left and right i.e. their
motion in clockwise direction work for moving backward and anti-clockwise
motion causes motion in forward direction, while one of them working at a time
and other one switched off or change in speed of these drive control thrusters
cause change in ROV’s direction. In this design also the circuitry was to be
put inside cylinder and we had to use waterproof camera or to make it waterproof
and then we had to mount our camera on the upper cylinder.
But the main issue was using
thrusters for submersion and decrease in depth, because faculty members forbade
us to use thrusters for depth controlling, they suggested us to implement the
concept like a naval submarine as it changes its depth by allowing water to
fulfill inside its water storage tank hence its density and weight increases
which causes a submarine to submerge and go into the depth; And when submarine
comes at the surface of the water it outlets the stored water from its storage
tank into the ocean hence its volume increases while its density and weight
decreases which causes it to decrease its depth and to come at the surface of
the water [9]
Proposed
Design:
As we discussed the above devices we can see
that this is a commercial design and this design cannot be made in student
level.
This is the actual design made by the
students. 3 thruster are used to move the UUV forward and backward. One wing is
used for upward and downward and another wing is used for left and right.
We have used PVC
pipe for low weight and for fast speed. PVC is low cost material and can be
easily available in the market. The pipe is used as a turbine. The water easily
flow inside the pipe while not resisting on the speed of prototype.
The head shape is made like cone on which the drag
force of water is very less so that the prototype can easily move in the water
and have good speed underwater.
MATHEMATICAL
CALCULATIONS:
Basic Forces on a Submarine:
Figure 13: forces on submarine
The forces shown in the above figure are the four basic forces on a
submarine, where Buoyancy force is an upward force exerted by a
fluid that opposes the weight of an immersed object. And it is equal
to the weight of the fluid displaced by the object.
Where;
= Buoyancy force
= Volume of immersed part
= water and immersed object density
difference
g = Gravitational acceleration
A = Area of immersed part
And Water Resistance
or Drag force is force acting opposite to the relative
motion of any object moving in water.
(1)
Where;
= Drag force
=
water density
v = speed of moving object
=
Drag force co efficient (0.82 for cylindrical shapes)
A
= Cross sectional Area
7.2 Thrust
(Nomenclature used in
thrust calculation)
F = Thrust (N)
= mass flow rate (kg/sec)
= exit velocity of water
through propeller (m/sec)
= inlet velocity of water
through propeller (m/sec)
= propeller pitch speed
(m/sec)
=
water density ( )
A = area through propeller ,
normal to water flow ( )
P =
Pressure (Pa , , )
Newton’s 2nd law when mass held constant
(2)
Source: Research Article ‘Propellers Static
and dynamic thrust calculation’ written by Gabriel Staples [April 12, 2014]
Newton’s 2nd law when velocity held constant
(3)
Theoretical static thrust
(4)
|
Theoretical dynamic thrust
(5)
(6)
Where ‘A’ is cross sectional area covered by spinning propeller
(7)
Where;
r = radius of propeller
r =diameter of propeller
Putting eq (7) in eq(6);
(8)
Inlet speed of water is zero in static fluid. So above equation becomes;
Ve is assumed to be approximately equal to the pitch
speed of the propeller, as
RPM of propeller is in (rev/min) and its pitch is in inches
(10)
Putting this in eq (8);
(11)
Theoretical to Empirical: Making the Equations Work For Real
Life
Gabriel Staples graphical analyzed and concluded that higher diameter
and lower pitch propellers must be more efficient,
(12)
Pretty soon Gabriel Staples realized that relationship of (d/pitch) to
static thrust was non-linear, so he added in a second constant to raise the
diameter-to-pitch ratio to some power.
(13)
Where ‘k1’ is ‘co-efficient constant’ and ‘k2’ is the ‘power constant’.
Putting values of ‘k1’ and ‘k2’ after calibration, it was the final static
thrust equation with Correction factor
.
(14)
It is calculated for a propeller having 2 blades, Birger Jacobsan gave
the below calculation of RPM of
propellers having more than 2 blades.
(15)
Where;
Source: Research Article ‘Propellers Static
and dynamic thrust calculation’ written by Gabriel Staples [April 12, 2014]
CHAPTER 4
FABRICATION OF UNMANNED UNDERWATER VEHICLE
Fabrication:
Fabrication is the building
of structures by cutting, bending, drilling, coupling and assembling
processes. It is a value added process that involves the construction of
machines and structures from various raw materials.
Different machine used in manufacturing of our design.
1. Cutting blade
2. Acrylic sheet
3. Plastic tube
4. Heat gun
5. Glue gun
6. Silicon
7. Vernier caliper
8. Measuring tape
Cutting
blade:
Cutting blade is the steel material having sharp teeth which is used for
cutting the PVC material in the manufacturing of wind turbine blades
Used for cutting of turbine blades.
Figure 14: Cutting blade
Acrylic sheet:
Acrylic
which has been used for commercial and personal purposes for years is still the
one plastic that is most widely used. It is a manmade material that versatile
and one that is commonly used almost all over the world. There are other
reasons why acrylic sheets are the most widely and popularly used materials.
Figure 15: Acrylic sheet
Plastic tube:
PVC known as polyvinyl
chloride, or PVC, is a thermoplastic material, which means that it can be
reprocessed using heat. Because vinyl can be processed using heat
Figure 16: plastic tube
Glue gun
A usually gun-shaped electric tool used for melting and applying sticks of adhesive.
Figure 17: glue gun
Silicon:
The
chemical element of atomic number 14, a non-metal with semiconducting
properties. It is used in electronic circuits and also used as adhesive
elements which assemble parts.
Figure 18: silicon pipe
Vernier caliper
A vernier caliper outputs measurement readings in
centimeters (cm) and it is precise up to 2 decimal places
Figure 19: Vernier calliper
Measuring tape
A
tape measure or measuring
tape is a
flexible ruler. It consists of a ribbon of cloth, plastic, fiber glass, or
metal strip with linear-measurement markings.
Figure 20: measuring tape
: Components:
Ø Propeller ( 3 blade propeller)
Ø 12 v Battery
Ø 12 v DC motors ( 3 motors )
Ø Wings ( 4 wings)
Ø Wireless camera
Ø Stand
Ø H- bridge L298
Ø Nuts and bots
Propeller (3 blade propeller)
A propeller is a type of fan that
transmits power by converting rotational motion into thrust. A pressure difference is
produced between the forward and rear surfaces of the airfoil-shaped blade,
Figure 21: Propeller (3 blade propeller)
12 v Battery
The DC motor is an electrical device which converts
from dc electrical energy into mechanical energy
12 v DC motors (3
motors)
12 V DC motor
2400 RPM
12 V DC motors are used to convert electrical
energy to mechanical energy.
Figure 23:12 V DC motor
Underwater
glider
An underwater glider is a type of wings which control left and right motion and up and down motion of vehicle, which is also control the balance of the vehicle.
Wireless camera
Camera that
transmit a video and audio signal to a wireless receiver through a radio band
Figure 25:camera
H- bridge L298
The L298N H-bridge can be used with motors that have a
voltage of between 5 and 35V DC. With the module used in this tutorial, there
is also an onboard 5V regulator, so if your supply voltage is up to 12V you can
also source 5V from the board.
Figure 26: H- bridge L298
Nuts and bots
A nut is a type of fastener with a threaded
hole. Nuts are almost always used in conjunction
with a mating bolt to fasten two or more parts together.
Dimensions:
Full vehicle length: 18.5 inch
Full vehicle dia: 4 inch
Wings:
Length: 3.5 inch
Width: 2 inch
Propeller
blade:
Length: 1.7 inch
Thrust: 0.7
Stand:
Length: 4 inch
Weight:
Total weight: 1 KG
Assembly:
We joined all the parts to assemble the prototype.
Figure 27: UUVs model
Chapter 5
Experimentations
and results
Figure 28: experimentation
Experimental
procedures:
The experiment was conducted in two stages floating on water and
underwater. We have conducted these two types of results. experiment was
conducted on Sunday March 16, 2017. The vehicle was run many times on the
surface of water and underwater. The weight of the body was also calculated.
We have conducted these results both when vehicle was both underwater
and floating on the surface of the water.
Formulas
used in calculations:
For drag force we have use this formula
C = drag
coefficient
= density
A = area
V = velocity
For bouncy force, we use formula
= density
V = displaced body
volume of liquid
G = gravity
Floating
on water:
experiment was conducted on Sunday March 16, 2017. The vehicle was run
many times on the surface of water. The weight of the body was also calculated.
We have conducted these results both when vehicle was both underwater
and floating on the surface of the water.
Stability Calculations:
Extra mass for balancing
|
0.5
|
Motors mass
|
0.3
|
Circuit
|
0.2
|
Battery
|
0.4
|
Side cylinders
|
0.2
|
Main cylinder
|
0.5
|
Total mass
|
2.1 Kg
|
Table 4
Drag
calculations:
Run no
|
Recorded speed
(m/s)
|
Drag force (N)
|
1
|
0.25 m/s
|
0.0577 N
|
2
|
0.5 m/s
|
1.01 N
|
Table 5
Testing
results:
Run
No. |
Velocity
(m/s) |
bouncy Force
(N) |
1
|
0.25
|
0.02878
|
2
|
0.506
|
0.11793
|
Table 6
Material
used:
Components
|
Final design
|
Hollow main cylinder
|
PVC sheet
|
Side cylinders
|
PVC sheet
|
Left right wing
|
Acrylic sheet
|
Up down wing
|
Acrylic sheet
|
Turbines
|
PVC sheet
|
Water proofing
|
Silicon
|
Balancing
|
Iron plates
|
Supporting materials
|
Aluminum plate
|
Table 7
Depth
measurement:
Under water (f)
|
On surface (f)
|
2 feet
|
Half drown
|
chapter 6
Circuit diagram
Circuit diagram of
proposed project
The above fig is the diagram of circuit of proposed project. It is a
simple diagram in which microcontroller gets information from transceiver and
send it to another transceiver which is attached to microcontroller. Microcontroller gives commands to the
different parts of the project and project works on those commands.
Two H bridges are also used
which are attached to the microcontroller which gives 12 v of power to the
motors.
Two transceivers DRF 7020 are used which receive
commands from laptop and give it to the microcontroller. Microcontroller send commands to the project
different parts which start to work.
One H bridge is attached with Arduino microcontroller D6, D7, D8 and D9
pins and another is attached with D10, D11, D12 and D13 pins. H bridge
basically convert 5 v to 12 v.
DRF transceiver is connected to Arduino Do and D1 pins. Which receive
signal from another transceiver and give to Arduino.
Conclusions:
This investigation has involved the design, construction and testing of
a submersible vessel and has allowed a more thorough understanding of key fluid
mechanic principles be developed through application.
For the purpose of this project, a
relationship between buoyancy, materials, propulsion, and size was determined.
Water propeller’s thrust calculation was derived. It is the fact that neutrally
buoyant UUV can be moved in all directions by the proper placement of
thrusters. The shape of UROV will also resist its performance because drag
force and buoyancy force can vary with change in shape. Most of the previous
projects used thrusters to change UUV’s depth but we implemented the concept of
a naval submarine by controlling its depth by using buoyancy force by varying
its weight by fulfilling and draining water from its water storage tanks. And
we concluded that thrust produced by propellers and UUV’s speed in water are
very much dependent upon diameter, pitch and blades of propellers. Thrust
produced by propellers can be varied by changing propeller’s pitch, diameter of
propeller’s blades and by changing the angle of propeller’s blade. Thrust can also
be varied by changing the speed of the motor. The UUV proved to be capable of
completing all objectives and measure its depth in water.
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