742 lines
37 KiB
Plaintext
742 lines
37 KiB
Plaintext
![]() |
______________________________________________________________________________
|
|||
|
| File Name : H2OVORTX.ASC | Online Date : 05/18/95 |
|
|||
|
| Contributed by : Josef Hasslberger| Dir Category : ENERGY |
|
|||
|
| From : KeelyNet BBS | DataLine : (214) 324-3501 |
|
|||
|
| A FREE Alternative Sciences BBS sponsored by Vanguard Sciences |
|
|||
|
| KeelyNet * PO BOX 870716 * Mesquite, Texas * USA * 75187 |
|
|||
|
| Voice/FAX : (214) 324-8741 InterNet - keelynet@ix.netcom.com |
|
|||
|
| WWW sites - http://www.eskimo.com/~billb & http://www.protree.com |
|
|||
|
|----------------------------------------------------------------------------|
|
|||
|
Due to the nature of the two papers entitled WATER1 and WATER2, I have taken
|
|||
|
the liberty of combining them into a single EXCELLENT FILE, both files were
|
|||
|
sent directly to KeelyNet courtesy of Mr. Josef Hasslberger.
|
|||
|
------------------------------------------------------------------------------
|
|||
|
UNDERSTANDING WATER POWER - (WATER1)
|
|||
|
|
|||
|
by Josef Hasslberger, Rome, Italy
|
|||
|
|
|||
|
In 1989 (Vol. 2, No. 1) raum&zeit published an article by Ludwig Herbrand,
|
|||
|
dealing with a development in Water Power, termed in that article the
|
|||
|
"Herbrand Turbine". While it seems that Herbrand is not the inventor of this
|
|||
|
technology, the present author nevertheless believes that there is something
|
|||
|
about water power that present scientific thinking and engineering are not
|
|||
|
aware of. He believes that the work of the austrian genius Viktor Schauberger
|
|||
|
holds the key to understanding Herbrand's story.
|
|||
|
|
|||
|
Historical
|
|||
|
|
|||
|
The sequence of "historical" events that led to Herbrand's discovery is as
|
|||
|
follows: Herbrand, in the early thirties, was a student of electrical
|
|||
|
engineering at the Aachen Technical College. The theme that was given him for
|
|||
|
his graduation thesis was the "Recalculation of the generators in the
|
|||
|
Rheinfelden power plant." Part of the thesis was also to make a comparison
|
|||
|
with an article that had appeared in the ETZ technical magazine of 1932, page
|
|||
|
233.
|
|||
|
|
|||
|
The power plant of Rheinfelden is a plant that directly utilizes the flow of
|
|||
|
the Rhein river's water, feeding it through turbines without the use of a dam.
|
|||
|
|
|||
|
The power plant described in the ETZ magazine's article instead was a plant
|
|||
|
constructed in 1926 at Ryburg-Schwoerstadt, about 12 miles up river from
|
|||
|
Rheinfelden. The description was as follows:
|
|||
|
|
|||
|
"The dam and the power plant's generator building span the width of the river
|
|||
|
and dam up the water to about 12 meters above the low water side. The driving
|
|||
|
power is provided by four turbines with an exceptional (for that time)
|
|||
|
capacity of 250 m3/sec. The power of each generator is 35.000 KVA."
|
|||
|
|
|||
|
The Rheinfelden power plant was an older construction, built in the last
|
|||
|
decade of the nineteenth century. It had twenty turbines. As the total water
|
|||
|
flow of the Rhein river at that point is about 1000 m3/sec, each turbine
|
|||
|
received approximately 50 m3/sec of water. The power of each one of the
|
|||
|
generators, calculated according to established principles, was 500 to 600 KW,
|
|||
|
the plant reaching a total power of 10 to 12 MW.
|
|||
|
|
|||
|
However in this same power plant, some generators had recently been installed
|
|||
|
that were designed for a much higher power output than the older turbines.
|
|||
|
They were designed by Prof. Finzi of the Aachen Technical College and
|
|||
|
constructed by J.M. Voith of Heidenheim/Brenz. A description of these
|
|||
|
generators was as follows:
|
|||
|
|
|||
|
"They are built to yield 32,500 KVA and can be run with a 10 % overload
|
|||
|
indefinitely, thus actually producing 35,000 KVA. The tension is 10,000 Volts
|
|||
|
at 50 Hertz and 75 rpm, with a factor of cos phi of 0.7. Because of the
|
|||
|
continuous overload factor, all stresses are kept to a minimum."
|
|||
|
|
|||
|
Herbrand recalculated the wiring of one of these generators and was much
|
|||
|
astonished when making his comparison to find that these new Rheinfelden
|
|||
|
generators without a dam and with only one fifth of the capacity (50 m3/sec)
|
|||
|
produced as much electric power as the huge generators at Ryburg with their
|
|||
|
capacity of 250 m3/sec and a head water dammed up 12 meters high.
|
|||
|
|
|||
|
He turned to his professor in dismay and Finzi's answer, as related to us by
|
|||
|
Herbrand, was:
|
|||
|
|
|||
|
"Do not worry. It is correct. The generator has been working without problems
|
|||
|
for some time now. Make the calculations backwards and you will see for
|
|||
|
yourself. We are electrical engineers. Why, those other problems are not ours
|
|||
|
to solve, we leave them to the water boys. We have repeated our measurements
|
|||
|
and the generator's yield of power is exactly as specified. The only thing is
|
|||
|
- no one knows about this."
|
|||
|
|
|||
|
Soon came the war and circumstances did not permit Herbrand to obtain an
|
|||
|
electrical engineering job. Only many years later did he remember his
|
|||
|
graduation thesis and he has tried since then to offer his calculations to
|
|||
|
government and industry - without success. He also tried to obtain a patent
|
|||
|
but was refused as his proposal violated the law of conservation of energy, so
|
|||
|
he was told.
|
|||
|
|
|||
|
These are the "historical" facts of the matter. Without wanting to take away
|
|||
|
from Herbrand's achievement, it would seem more correct to name the turbine a
|
|||
|
"Finzi-Herbrand-Turbine", because the actual designer was Professor Finzi, not
|
|||
|
Herbrand.
|
|||
|
|
|||
|
In any case, Herbrand's great merit is to have come out publicly trying to get
|
|||
|
the idea used more broadly.
|
|||
|
|
|||
|
Calculations of yield
|
|||
|
|
|||
|
The kinetic energy of a water turbine is calculated with the following
|
|||
|
formula:
|
|||
|
|
|||
|
E kin = m/2 . v2 (KW).
|
|||
|
|
|||
|
m is the usable amount of water measured in m3/sec and v is the velocity of
|
|||
|
the water, expressed in m/sec.
|
|||
|
|
|||
|
Generally, v is calculated by the use of the following formula:
|
|||
|
|
|||
|
v = ! 2 . g . h
|
|||
|
|
|||
|
whereby g is gravity with 9.81 m/sec2 and h is the difference in level between
|
|||
|
the head water and the water on the lower side expressed in meters.
|
|||
|
|
|||
|
But here the matter becomes critical and we should clearly understand that the
|
|||
|
latter formula is only a secondary formula to find a v-equivalent in the
|
|||
|
special case of gravitational water pressure resulting from a difference in
|
|||
|
water levels. For the calculation of v in flowing water this formula is
|
|||
|
neither usable nor necessary. The velocity of flowing water can be quantified
|
|||
|
by direct measurement.
|
|||
|
|
|||
|
The important concept here is that water can gain its velocity in two
|
|||
|
distinctly different ways.
|
|||
|
|
|||
|
Water can be held up by a dam and at the point where we release it through a
|
|||
|
nozzle or say through a turbine, it will experience a strong acceleration. The
|
|||
|
resulting velocity can be calculated by use of the above formula.
|
|||
|
|
|||
|
If we take for instance a difference in water levels of 12 meters, we get a
|
|||
|
velocity of the water of
|
|||
|
|
|||
|
! 2 x 9.81 x 12 = 15.34 m/sec.
|
|||
|
|
|||
|
Should the capacity of flow be 250 m3/sec then we get a kinetic energy of
|
|||
|
|
|||
|
250/2 x 15.34 x 15.34 = 29,414 KW,
|
|||
|
|
|||
|
approximating the above description of the generators of the Ryburg-
|
|||
|
Schwoerstadt power plant.
|
|||
|
|
|||
|
The second way in which water may reach a certain velocity is the normal
|
|||
|
flowing of a river and in particular the natural vortex movement of water.
|
|||
|
|
|||
|
In our example of the Rheinfelden power plant, the velocity of water flow
|
|||
|
through the turbine was 35 m/sec, much higher than in Ryburg-Schwoerstadt.
|
|||
|
|
|||
|
This higher velocity of flow was reached in two stages.
|
|||
|
|
|||
|
A small island located in midstream provided the means for the first increase
|
|||
|
in velocity, as the water was forced to flow on one side only of the island.
|
|||
|
The water, finding itself in a much more narrow bed, increased its velocity of
|
|||
|
flow.
|
|||
|
|
|||
|
A further increase was achieved by a funnel-like construction of the inlet
|
|||
|
towards the turbine, restricting the diameter of the water's flow even further
|
|||
|
and increasing the velocity so as to pass the turbine at a considerable 35
|
|||
|
m/sec (approximately 80 mph).
|
|||
|
|
|||
|
So the kinetic energy, in accordance with our first formula as given above,
|
|||
|
was
|
|||
|
|
|||
|
50/2 x 35 x 35 = 30,625 KW.
|
|||
|
|
|||
|
We see that with a fifth of the amount of water per second, but with a
|
|||
|
considerably increased velocity of flow, the same kinetic energy can be
|
|||
|
obtained as with 250 m3/sec and a water level difference of 12 meters.
|
|||
|
|
|||
|
If we wished to obtain an equivalent of v = 35 m/sec through GRAVITATIONALLY
|
|||
|
INDUCED WATER PRESSURE, we would need a dam 62.4 meters (nearly 200 ft!) high.
|
|||
|
|
|||
|
How is it possible that by simply restricting the space in which water may
|
|||
|
flow, we can free such tremendous energies?
|
|||
|
|
|||
|
Herbrand has calculated the effect of contraction by introducing a factor n.
|
|||
|
He found that an increase of the factor n, that is, a greater contraction,
|
|||
|
will increase the energy of the water but he has come to recognize that this
|
|||
|
concept is impossible to grasp for our scientific "experts".
|
|||
|
|
|||
|
Viktor Schauberger: "We are using the wrong kind of motion!"
|
|||
|
|
|||
|
The Austrian forest warden and inventor Viktor Schauberger has researched and
|
|||
|
successfully applied the laws of motion of water. He said that we are using
|
|||
|
the wrong kind of motion, referring to all of our technological
|
|||
|
"achievements", from the internal combustion engine to our way of putting
|
|||
|
streams of water into an unnatural straitjacket.
|
|||
|
|
|||
|
In order to understand the discovery of Herbrand it is important to know that
|
|||
|
the NATURAL MOTION of water is a CENTRIPETAL VORTICAL movement, turning or
|
|||
|
"rolling" inward around the axis of motion of the water's flow. This kind of
|
|||
|
motion tends to accelerate and contract the stream of water, accumulating
|
|||
|
kinetic energy in the form of an increased velocity.
|
|||
|
|
|||
|
A simple example for this is the vortex that forms when a bathtub is emptied
|
|||
|
of water. We can also observe the same kind of motion on a simple tap of
|
|||
|
water. In fact, if the water leaves the tap without disturbances such as
|
|||
|
bubbles of air or other disturbing flows, we see that the water takes a SPIRAL
|
|||
|
course, accelerating and CONTRACTING on its way.
|
|||
|
|
|||
|
Anyone who has doubts as to the fact that the natural spiral movement can
|
|||
|
increase the kinetic energy of water, need only remember the extraordinary
|
|||
|
energies contained in tornadoes and hurricane winds. These energies are
|
|||
|
ACCUMULATED by just the same spiral movement.
|
|||
|
|
|||
|
In the early years of his carreer as a forest warden, Schauberger has utilized
|
|||
|
this effect to allow the transport of heavy beechwood logs in wooden water
|
|||
|
sluices, very much to the amazement of his seniors and visiting scientists.
|
|||
|
|
|||
|
Science at that time, just as today, could not explain how it was possible to
|
|||
|
transport beech logs in a flow of water, as the wood of the beech tree has a
|
|||
|
specific weight higher than that of water.
|
|||
|
|
|||
|
Considering this, it is no wonder that also Herbrand's observations were to
|
|||
|
meet disbelief and even outright hostility from our scientifically educated
|
|||
|
"experts".
|
|||
|
|
|||
|
Thermodynamics and the Law of Conservation of Energy
|
|||
|
|
|||
|
This discussion about Rheinfelden and Herbrand's turbine lets us fly square
|
|||
|
into the teeth of recognized authority. We are seemingly violating the
|
|||
|
hallowed principle of the conservation of energy. I say seemingly, because all
|
|||
|
things considered, conservation of energy is assured. Just that a stream of
|
|||
|
water is not a "closed system" as our scientists would like to believe.
|
|||
|
|
|||
|
In fact, there are no real closed systems in this world and thus
|
|||
|
thermodynamics, at least its second law, as well as the law of conservation of
|
|||
|
energy, are not correct as currently stated.
|
|||
|
|
|||
|
The author has dealt with the basic assumptions of physics and the law of
|
|||
|
conservation of energy in a previous article.
|
|||
|
|
|||
|
Gravity and Inertia
|
|||
|
|
|||
|
In closing I would like to point out that gravity and inertia, although they
|
|||
|
do show analogous effects, are not identical.
|
|||
|
|
|||
|
Even though we cannot subjectively distinguish the earth's gravity from an
|
|||
|
acceleration of 1 g (9.81 m/sec2), say in a spacecraft, when we talk about
|
|||
|
water we must distinguish well between gravitation and inertia.
|
|||
|
|
|||
|
A mass of water held up by a dam is a mass which under the influence of
|
|||
|
gravity exerts a certain pressure and thus is able to drive a turbine. The
|
|||
|
energy utilized in this case is primarily the gravitationally induced
|
|||
|
pressure, not the inertial force that comes from motion.
|
|||
|
|
|||
|
A moving mass of water has an inertial mass which by force of inertia is able
|
|||
|
to drive a turbine. In this case, the force we are primarily using is a direct
|
|||
|
result of the velocity of motion.
|
|||
|
|
|||
|
The difference here lies in the natural or unnatural motion of the water.
|
|||
|
|
|||
|
According to current scientific knowledge we hold up the water by a dam, thus
|
|||
|
stopping its natural flow and losing the inherent inertial forces, in order to
|
|||
|
use the gravitational pressure of this now motionless mass of water to drive
|
|||
|
turbines.
|
|||
|
|
|||
|
It would be much more effective to use the natural motion of water and, if
|
|||
|
possible, to accelerate that motion, in order to gain more energy out of a
|
|||
|
fast flowing mass of water than we could ever get out of a dammed-up
|
|||
|
motionless mass, because
|
|||
|
|
|||
|
E kin = m/2 . v2.
|
|||
|
|
|||
|
In other words, the kinetic energy INCREASES with the square of the velocity!
|
|||
|
|
|||
|
Schauberger has explained the principles of motion to us, Prof. Finzi has
|
|||
|
built the turbine and Herbrand has recognized the paradox and has tried to
|
|||
|
bring it into the public domain.
|
|||
|
|
|||
|
How long will it take us to finally understand that in our technological
|
|||
|
solutions we must work with nature and not against it?
|
|||
|
|
|||
|
Schauberger had a word for this (freely translated):
|
|||
|
|
|||
|
Observe, understand and THEN COPY nature.
|
|||
|
------------------------------------------------------------------------------
|
|||
|
Dynamic Hydropower - (WATER2)
|
|||
|
|
|||
|
The "suction turbine" or "jet turbine" of Viktor Schauberger
|
|||
|
|
|||
|
Hydropower engineering, up to this day, is almost esclusively concerned with
|
|||
|
two variables, one being the altitude differential between head water and
|
|||
|
turbine and the other the quantity of water that can be brought to flow
|
|||
|
through the turbines.
|
|||
|
|
|||
|
A third important variable, the velocity of flow of water, is generally not
|
|||
|
thought to be important. It is taken into consideration only as the velocity
|
|||
|
resulting from the release of water pressure connected to and dependent on
|
|||
|
altitude differential but not as an important factor in its own right. In
|
|||
|
fact, current design of hydropower facilities normally excludes utilization of
|
|||
|
the dynamic energy potential inherent in the free flow of water. In fact a dam
|
|||
|
destroys this natural energy potential by bringing the water from its dynamic
|
|||
|
state of flow to a static state, a complete absence of motion.
|
|||
|
|
|||
|
If we study the writings of Viktor Schauberger and Ludwig Herbrand, we find
|
|||
|
that the energy inherent in the free and unhindered flow of water may be
|
|||
|
potentially much greater than that obtainable from the exclusive use of
|
|||
|
pressure resulting from altitude differential.
|
|||
|
|
|||
|
A normal flow of water rather than an altitude-induced pressure, has been used
|
|||
|
in mills and old blacksmith hammerworks of the pre-industrial era.
|
|||
|
|
|||
|
Schauberger
|
|||
|
|
|||
|
In recent times, it was Viktor Schauberger, the Austrian inventor and genial
|
|||
|
observer of nature's ways who first advocated the use of increased water
|
|||
|
velocity rather than water pressure for the production of hydroelectric power.
|
|||
|
He obtained a patent for what he termed a jet turbine (Strahlturbine) as early
|
|||
|
as the year 1930. (1)
|
|||
|
|
|||
|
The principles used by Schauberger in order to increase water velocity were
|
|||
|
the jet configuration of the water inlet pipe and the promotion, by spiral
|
|||
|
ribbings on the inside of the jet, of a vortex motion of the water.
|
|||
|
|
|||
|
Schauberger's patent actually gives us two very important clues to innovative
|
|||
|
changes in hydropower technology.
|
|||
|
|
|||
|
The first one is, that a pipe configured as a funnel or jet will increase the
|
|||
|
velocity of the water's flow by restricting the space available in which the
|
|||
|
water may flow. This increase in velocity is especially great if the funnel or
|
|||
|
jet allows the water to form a characteristic flow pattern known as a vortex.
|
|||
|
|
|||
|
This vortex pattern itself has a tendency, quite separate from the jet-effect,
|
|||
|
to increase the velocity of the water, to decrease its temperature and to
|
|||
|
augment the water's density.
|
|||
|
|
|||
|
The second innovation proposed by Schauberger is a revolutionary design of the
|
|||
|
turbine, obtaining rotation at very high speeds and at the same time avoiding
|
|||
|
the usual difficulties of cavitation found in normal high speed turbine
|
|||
|
designs.
|
|||
|
|
|||
|
In fact Schauberger's turbine wheel is of conical shape, with blades
|
|||
|
spiralling down the surface of the cone in a corkscrew pattern, and it is
|
|||
|
located in the center of the jet of water. The corkscrew turbine wheel parts
|
|||
|
the flow of water, takes up the water's dynamic energy and lets the flow
|
|||
|
continue without major disruption.
|
|||
|
|
|||
|
Turbines of current design "hack" the water into thousands of destructive
|
|||
|
counter flows and cross vortices, thus wasting much of the available energy
|
|||
|
and causing the common problem of cavitation, a super fast corrosion and
|
|||
|
destruction of the turbine blade material.
|
|||
|
|
|||
|
Here is the description of this new type of turbine as given in Schauberger's
|
|||
|
patent number 117 749:
|
|||
|
|
|||
|
"The subject of the invention is a hydropower machine, which utilizes the
|
|||
|
living energy of a jet of water for the purpose of power generation.
|
|||
|
|
|||
|
According to the invention, the turbine wheel is a cone with corkscrew-like
|
|||
|
blades. The cone is aligned with its axis in the direction of the axis of the
|
|||
|
jet. In this way the jet of water is split and diverted out of its course and
|
|||
|
thus gives its whole living energy to the spinning cone in a way that,
|
|||
|
providing the lenght of the cone and the width of its base are in a correct
|
|||
|
relation to each other and provided the blades are set at the correct angle,
|
|||
|
these parameters depending on the speed of the water jet, the water will flow
|
|||
|
out of the machine without agitation.
|
|||
|
|
|||
|
The illustration is an approximate schematic representation of the invention.
|
|||
|
|
|||
|
The spinning cone, which is aligned with its axis (1) in the direction of the
|
|||
|
water jet leaving the jet pipe (2), is made up of blades (3) in the form of a
|
|||
|
corkscrew.
|
|||
|
|
|||
|
The ends (4) of these blades (3) are bent somewhat upwards against the
|
|||
|
direction of the arriving water jet in order to cause a diversion of the jet
|
|||
|
and to transfer as much as possible of the living energy of the jet to the
|
|||
|
spinning cone.
|
|||
|
|
|||
|
On the inside of the jet pipe (2) there are screw-like ribs (5) promoting a
|
|||
|
spin, which according to actual observations increase the speed of the water
|
|||
|
jet and the efficiency of the machine.
|
|||
|
|
|||
|
PATENT CLAIMS:
|
|||
|
|
|||
|
1. A jet turbine, distinguished by the fact that in the path of the water jet
|
|||
|
and aligned with its axis so as to split the jet, there is a turbine wheel
|
|||
|
in the form of a cone, the surface of which is formed of corkscrew-like
|
|||
|
blades.
|
|||
|
|
|||
|
2. A jet turbine according to claim 1, distinguished by a jet pipe (2) with
|
|||
|
ribs (5) slanted in the direction of spin of the turbine wheel."
|
|||
|
|
|||
|
This patent was applied for in 1926 and granted in 1930. It seems that
|
|||
|
Schauberger actually used a small turbine of this design in a stream of water
|
|||
|
near the forest wardens' building during those years, but no reliable records
|
|||
|
are available. (2)
|
|||
|
|
|||
|
Herbrand
|
|||
|
|
|||
|
Another instance of the use of the dynamic powers of flowing water has been
|
|||
|
documented by Ludwig Herbrand, a german engineer who as a student in the mid
|
|||
|
1930's was called to evaluate and calculate the parameters of some generators
|
|||
|
and exciter units that had recently been installed in the Rheinfelden power
|
|||
|
station, as well as to design electrical overload protection and relevant
|
|||
|
switching mechanisms for these generators. He was also required to compare the
|
|||
|
generators with those of another power station that had been described in an
|
|||
|
article of a specialized magazine.
|
|||
|
|
|||
|
Much to the dismay of the then young and inquisitive engineering student, it
|
|||
|
seemed that the generators under examination were supplying more electrical
|
|||
|
energy than they should have, according to accepted theory. One of the
|
|||
|
generators of the Rheinfel den power plant, with 50 cubic meters of water per
|
|||
|
second and an altitude differential of only one meter supplied just as much
|
|||
|
power as a generator in near Ryburg-Schw<68>rstadt, which had a capacity of 250
|
|||
|
cubic meters of water per second and an altitude differential from head waters
|
|||
|
to turbine of 12 meters! (3)
|
|||
|
|
|||
|
That fact was confirmed by prof. Finzi, the designer of the turbines and
|
|||
|
generators, saying to young Herbrand:
|
|||
|
|
|||
|
"Do not worry about this. It is correct. The generator has been working
|
|||
|
without problems for some time now. Make the calculations backwards and you
|
|||
|
will see for yourself. We are electrical engineers. Why, those other problems
|
|||
|
are not ours to solve, we leave them to the water people. We have repeated our
|
|||
|
measurements and the generator's yield of power is exactly as specified. The
|
|||
|
only thing is - no one knows about this." (4)
|
|||
|
|
|||
|
Herbrand was soon drafted into the army and World War II did not allow him to
|
|||
|
pursue the matter further. Only much later, in the 1970s and 1980s, Herbrand
|
|||
|
came back to the calculations made for his engineering exams and tried - so
|
|||
|
far without success - to interest industry and government in this different
|
|||
|
and more efficient use of hydropower.
|
|||
|
|
|||
|
Technical facts
|
|||
|
|
|||
|
I shall attempt to delineate here the technical facts, using calculations that
|
|||
|
are based on accepted formulas and physical considerations confirmed by actual
|
|||
|
experiment, to show that with a different approach to hydropower engineering,
|
|||
|
we could obtain significantly more electrical power than is being extracted
|
|||
|
from hydro resources today, with simpler machinery and less expenditure, as
|
|||
|
well as less disturbance to the environment.
|
|||
|
|
|||
|
As mentioned above, current hydropower engineering works with water pressure,
|
|||
|
obtained as a result of the altitude differential between head waters and
|
|||
|
location of the turbine. This pressure, when released through the turbine,
|
|||
|
results in a momentary acceleration of the water and thus in a certain
|
|||
|
velocity of the water jet. This velocity is calculated with the formula
|
|||
|
|
|||
|
v = <20> 2 g h
|
|||
|
|
|||
|
v being the velocity, g the gravitational acceleration of the earth (9.81
|
|||
|
m/sec2) and h the altitude differential measured in meters.
|
|||
|
|
|||
|
Example:
|
|||
|
|
|||
|
An altitude of 12 m results in a velocity of <20> 2 . 9.81 . 12 = 15.3 m/sec.
|
|||
|
|
|||
|
The progression of velocity in relation to altitude differential is shown in
|
|||
|
the following table.
|
|||
|
|
|||
|
altitude diff. 12 m 24 m 36 m 48 m 60 m
|
|||
|
velocity 15.3 m/sec 21.7 m/sec 26.6 m/sec 30.7 m/sec 34.3 m/sec
|
|||
|
|
|||
|
altitude diff. 72 m 84 m 96 m 108 m 120 m
|
|||
|
velocity 37.6 m/sec 40.6 m/sec 43.4 m/sec 46 m/sec 48.5 m/sec
|
|||
|
|
|||
|
altitude diff. 132 m 144 m 156 m 168 m 180 m
|
|||
|
velocity 50.9 m/sec 53.15 m/sec 55.3 m/sec 57.4 m/sec 59.4 m/sec
|
|||
|
|
|||
|
altitude diff. 192 m 204 m 216 m 228 m 240 m
|
|||
|
velocity 61.4 m/sec 63.3 m/sec 65.1 m/sec 66.9 m/sec 68.6 m/sec
|
|||
|
|
|||
|
These values are rendered graphically below. (Mr. Hasslberger says these were
|
|||
|
originally in WordPerfect and this is an ASCII document making their import
|
|||
|
impossible.)
|
|||
|
|
|||
|
We see that the curve of velocity at first increases more steeply and then
|
|||
|
tends to flatten with higher altitude differentials.
|
|||
|
|
|||
|
Let us now examine the energy output in kilowatt with increasing altitude
|
|||
|
differential.
|
|||
|
|
|||
|
The increase of energy output is linear, as shown in the graphic above.
|
|||
|
|
|||
|
The electric energy that can be obtained from water is calculated on the basis
|
|||
|
of the velocity of flow and the mass of the water, i.e. magnitude of flow
|
|||
|
measured in cubic meters per second, according to the formula
|
|||
|
|
|||
|
E kin = m/2 . v 2 (kw)
|
|||
|
|
|||
|
An example, assuming a velocity of 25 m/sec and a mass of 5 cubic meters per
|
|||
|
second:
|
|||
|
|
|||
|
5 : 2 = 2.5 . 25 . 25 = 1562.5 kw
|
|||
|
|
|||
|
For the purpose of comparison, here are some further examples (assuming a
|
|||
|
small constant flow of water, only 2 cubic meters per second):
|
|||
|
|
|||
|
velocity 15 m/sec 20 m/sec 25 m/sec 30 m/sec 35 m/sec
|
|||
|
energy 225 kw 400 kw 625 kw 900 kw 1225 kw
|
|||
|
|
|||
|
velocity 40 m/sec 45 m/sec 50 m/sec 55 m/sec 60 m/sec
|
|||
|
energy 1600 kw 2025 kw 2500 kw 3025 kw 3600 kw
|
|||
|
|
|||
|
velocity 65 m/sec 70 m/sec 75 m/sec 80 m/sec 85 m/sec
|
|||
|
energy 4225 kw 4900 kw 5625 kw 6400 kw 7225 kw
|
|||
|
|
|||
|
velociyt 90 m/sec 95 m/sec 100 m/sec 105 m/sec 110 m/sec
|
|||
|
energy 8100 kw 9025 kw 10000 kw 11025 kw 12100 kw
|
|||
|
|
|||
|
A threefold increase of velocity leads to a ninefold increase of power output.
|
|||
|
The curve of energy increase plotted against water velocity is shown in this
|
|||
|
third graphic.
|
|||
|
|
|||
|
We see from this, that a velocity increase brings progressively larger
|
|||
|
increases of energy. Therefore, the higher the velocity of the water, the
|
|||
|
greater the overall efficiency of the power plant!
|
|||
|
|
|||
|
For the purpose of utilizing hydropower for generating electrical energy, it
|
|||
|
is quite irrelevant whether the velocity of the water is the result of
|
|||
|
pressure obtained through an altitude differential or whether it is obtained
|
|||
|
in some other way, such as encouraging the natural tendency of water to flow.
|
|||
|
And it seems that we can increase the velocity of flow of water almost at
|
|||
|
will.
|
|||
|
|
|||
|
How to increase electrical output
|
|||
|
|
|||
|
There are two basic variables in hydropower engineering that determine
|
|||
|
electrical output. They are the amount of water available and the velocity of
|
|||
|
flow. The first variable, the amount of water available, depends very much on
|
|||
|
location and is generally not subject to increase by human intervention.
|
|||
|
|
|||
|
It is the second variable, the velocity of the water's flow, which can be
|
|||
|
manipulated in many ways. Apart from increasing water pressure, which is a
|
|||
|
comparatively inefficient way to increase flow velocity, this parameter can be
|
|||
|
influenced by other, more simple and more cost effective engineering
|
|||
|
solutions.
|
|||
|
|
|||
|
It is a common principle in rocketry to increase the velocity of flow of the
|
|||
|
hot exhaust gases by a restriction of the path of flow of these gases. This is
|
|||
|
called the jet principle and has been used successfully for decades.
|
|||
|
|
|||
|
The same principle can be used to increase the velocity of a flow of water,
|
|||
|
such as a river. In fact, where a river is forced, by the natural
|
|||
|
configuration of terrain, to flow through a narrow gorge, the velocity at the
|
|||
|
narrowest point is much higher than it is before and after the river's passage
|
|||
|
through the gorge. This effect can be utilized by finding a natural gorge or
|
|||
|
by artificially narrowing a river's bed so as to bring about an increase in
|
|||
|
water velocity.
|
|||
|
|
|||
|
Another way to increase velocity of flow in water is to promote the formation
|
|||
|
of a longitudinal vortex. This is a rolling or spinning motion, the axis of
|
|||
|
which coincides with the direction of flow of the water. Such vortices have
|
|||
|
the property of causing an increase of the velocity of flow, and a contraction
|
|||
|
of the diameter of the space needed by the body of water. They also cause a
|
|||
|
lowering of the water's temperature and thus an increase in its density. (The
|
|||
|
highest specific density of water is reached at a temperature of + 4<> C.)
|
|||
|
|
|||
|
Water has a natural tendency to form vortices, especially if its flow is
|
|||
|
accelerated by some external influence such as gravity. We can observe this by
|
|||
|
noting the swirl with which a full bathtub or sink or any other container full
|
|||
|
of water empties, if the water is forced to flow through a pipe connected to a
|
|||
|
hole in the bottom of the container. But even a simple water faucet, releasing
|
|||
|
a flow of water, will show this same phenomenon if the water flows relatively
|
|||
|
undisturbed, without bubbles or agitation. As the water picks up speed, it
|
|||
|
forms a distinctly funnel-shaped vortex right before our eyes.
|
|||
|
|
|||
|
A confirmation of this tendency of vortices to increase water velocity (or in
|
|||
|
other words to decrease resistance to the water's flow) comes from experiments
|
|||
|
performed in 1952 at the Technical College in Stuttgart by Prof. Franz P<>pel
|
|||
|
and Viktor Schauberger.
|
|||
|
|
|||
|
The experiments were performed with pipes of different materials and different
|
|||
|
shapes, to determine if either materials or shapes had an influence on the
|
|||
|
resistance of the flow of water in pipes.
|
|||
|
|
|||
|
It seems that best results were achieved with copper pipes, and that this
|
|||
|
material caused less resistance to the water's flow than even the smooth glass
|
|||
|
pipes used as comparison. But the most important datum emerging from these
|
|||
|
experiments is, that by using a certain spiral configured pipe, based on the
|
|||
|
form of the kudu antelope's horn, the friction in this pipe decreased with an
|
|||
|
increase in velocity and at a certain point, the water flowed with a negative
|
|||
|
resistance. (5)
|
|||
|
|
|||
|
Theory and practice
|
|||
|
|
|||
|
The best theory is not worth the paper it is written on, if it cannot be put
|
|||
|
into practice. We shall therefore examine the practical utilization of these
|
|||
|
principles in hydropower engineering.
|
|||
|
|
|||
|
The object is to increase the velocity of the flow of water to such a degree
|
|||
|
that the resulting jet will release more kinetic energy than conventional
|
|||
|
utilization of water pressure achieved with comparable means.
|
|||
|
|
|||
|
Step 1: As a first step, a river's normal flow is brought to higher velocity
|
|||
|
by the expedient of a wall that gradually restricts the river's bed.
|
|||
|
This will increase the normal velocity of flow of 2 - 5 m/sec to a
|
|||
|
sizeable 10 - 15 m/sec.
|
|||
|
|
|||
|
Step 2: At this point, in order to further increase velocity, we must provide
|
|||
|
a channel of flow that more closely resembles the shape of a natural
|
|||
|
vortex. We do this by channelling the already swiftly flowing water
|
|||
|
at the narrowest point of the river bed into an approximately round
|
|||
|
"funnel" or "jet-pipe" which gradually further restricts the diameter
|
|||
|
of the water's channel of flow and thereby causes a further increase
|
|||
|
in velocity.
|
|||
|
|
|||
|
In order to aid this process, we can promote the formation of a vortex in the
|
|||
|
funnel or jet-pipe which will ensure that the water exits the jet at a
|
|||
|
considerable velocity. This is done either by spiral ribs on the inside of the
|
|||
|
jet-pipe as proposed by Schauberger, or by forming the whole pipe in a
|
|||
|
slightly "corkscrew" configuration.
|
|||
|
|
|||
|
Installing a turbine and generator at the release point of the water jet,
|
|||
|
preferably of the design proposed by Schauberger, will now provide an output
|
|||
|
of electrical power much higher than that achieved by comparable means in the
|
|||
|
conventional way.
|
|||
|
|
|||
|
Where step 1 is not practicable because of the river being too small, step 2
|
|||
|
can still be profitably combined with current small hydropower plant design,
|
|||
|
by altering the shape of the penstock to a funnel or jet-pipe configuration,
|
|||
|
thus obtaining part of the velocity increase from normal use of gravity and
|
|||
|
part by the specific action of the jet effect and the vortex flow.
|
|||
|
|
|||
|
No theoretical limitation
|
|||
|
|
|||
|
Are there limits to how fast a water-jet can be made to flow? This is a
|
|||
|
question we should obviously ask ourselves before embarking on this kind of
|
|||
|
project.
|
|||
|
|
|||
|
It seems that theoretically there are no limitations, as long as the vortex
|
|||
|
mode of flow is used. If water is forced to flow in straight pipes, resistance
|
|||
|
increases with the increase of velocity. Not so when we allow the water to
|
|||
|
flow at its natural mode, accomodating the resulting vortex in our pipe
|
|||
|
design. In this case, resistance can be very low and even negative, as shown
|
|||
|
by the experiments performed in Stuttgart.
|
|||
|
|
|||
|
For purposes of estimating the potential benefits of using the dynamic powers
|
|||
|
inherent in the flow of water, we can conservatively assume that we should be
|
|||
|
able to obtain, without particular difficulties, velocities between 40 and 50
|
|||
|
m/sec. This is an estimation based on the observation of Herbrand that at the
|
|||
|
Rheinfelden power plant a velocity of 35 m/sec was achieved.
|
|||
|
|
|||
|
We can see from the above statistical tables that 45 m/sec of velocity are
|
|||
|
equivalent to an altitude differential of more than 100 meters. And assuming
|
|||
|
that we have a flow of water of 10 cbm/sec, we can predict (at v = 45 m/sec)
|
|||
|
an energy output of 10 megawatt. This is a considerable amount of power and it
|
|||
|
can be obtained almost anywhere along the normal course of a river, without
|
|||
|
the costly and environmentally questionable practice of constructing a man
|
|||
|
made lake to obtain 100 meters of altitude differnetial.
|
|||
|
|
|||
|
If it is true that the water's velocity of flow can be increased almost at
|
|||
|
will and with comparatively simple means at a fraction of the cost of current
|
|||
|
hydropower designs, someone might ask: Why are we not using this obviously
|
|||
|
superior method?
|
|||
|
|
|||
|
Fixed ideas and the "law of conservation of energy"
|
|||
|
|
|||
|
It is very hard to un-learn something one studied and especially if what was
|
|||
|
learned was then needed to pass an examination. The weight of socalled
|
|||
|
"natural laws" brought to bear to support these doctrines makes it even more
|
|||
|
difficult for any one person to stand up and say "hey, we have overlooked
|
|||
|
something here!"
|
|||
|
|
|||
|
Of course "everybody knows" that water has to be pressurized if we are to use
|
|||
|
it for hydroelectric power generation. And everybody knows as well, that the
|
|||
|
technology of hydropower engineering has been well in hand since the turn of
|
|||
|
the century. So why bother to look any further?
|
|||
|
|
|||
|
Not so Ludwig Herbrand. He has fought an unceasing battle for more than 20
|
|||
|
years now, to obtain recognition for this new technology. Literally hundreds
|
|||
|
of letters to government and industry, as well as international institutions
|
|||
|
with just so many negative replies, more or less politely telling him that his
|
|||
|
proposals are not welcome.
|
|||
|
|
|||
|
It is difficult to break through this barrier of "knowledge", especially when
|
|||
|
the experts think they see a violation of the law of conservation of energy.
|
|||
|
Conservation of energy is invoked when calculations do not seem to permit a
|
|||
|
higher energy output. But in this case we have a factor that has been
|
|||
|
neglected in our calculations, not a violation of conservation laws.
|
|||
|
|
|||
|
Water is an accumulator of energy
|
|||
|
|
|||
|
There is some evidence that the decrease of water temperature that is a
|
|||
|
consequence of vortex motion provides the energy to the water that we then see
|
|||
|
as kinetic energy in the form of increased water velocity. In this way a
|
|||
|
vortex would transform heat (which is random molecular motion) into dynamic
|
|||
|
energy (which is motion in a certain direction). Schauberger stressed the fact
|
|||
|
that water could store enormous amounts of energy by being heated up. He
|
|||
|
states in an article about the Danube river that in order to warm up 1 cubic
|
|||
|
meter of water by only 0.1 degree C, one needs about 42,700 kgm of energy,
|
|||
|
saying that this goes to show the enormous energies that are bound when water
|
|||
|
is heated up and are released when water cools down. (6)
|
|||
|
|
|||
|
Thermodynamics, as taught in our schools and universities does not allow for
|
|||
|
such a two-way transformation of heat at low temperature differentials.
|
|||
|
|
|||
|
Thermodynamics is based on observation of steam machines and has little to do
|
|||
|
with nature, although some insist that the socalled laws of thermodynamics are
|
|||
|
"natural laws". Nevertheless, thermodynamics is not able to explain certain
|
|||
|
natural phenomena. (7)
|
|||
|
|
|||
|
In calculations of electrical power yield, velocity is not considered
|
|||
|
separately but as a result only and exclusively of altitude differential. That
|
|||
|
is like saying, there is no other way of achieving water velocity than
|
|||
|
pressure. It may be the way the experts calculate, but physical reality is
|
|||
|
different. Water velocity, as we have seen, is not exclusively linked to
|
|||
|
pressure but may be achieved with different means.
|
|||
|
|
|||
|
Thus the correct way to calculate is to start from velocity and arrive at the
|
|||
|
power output. Altitude differential and the velocity equivalent as calculated
|
|||
|
in the formula given above are a special case, not the general rule.
|
|||
|
|
|||
|
We must distinguish between the pressure-induced velocity equivalent and the
|
|||
|
natural velocity of flowing water. That is to say we must distinguish between
|
|||
|
gravity and inertia. These two forces are similar in their effects but they
|
|||
|
are nevertheless two distinctly different forces. This article does not allow
|
|||
|
a detailed examination of the physical forces involved. For those who are
|
|||
|
interested in this subject, I would like to refer to an article I have written
|
|||
|
on the basics of physics in EXPLORE! in 1992. (8)
|
|||
|
|
|||
|
It is hoped that this article may contribute to overcoming the knowledge
|
|||
|
barrier, the various "everybody knows" in this particular field. To anyone
|
|||
|
wishing to utilize the dynamic powers of water I recommend a study of the
|
|||
|
writings of Viktor Schauberg er, the great master of hydro engineering who
|
|||
|
remained an outsider to official science all of his life, because his views
|
|||
|
were so radically different from those of the professors of his time.
|
|||
|
|
|||
|
Josef Hasslberger
|
|||
|
Rome, December 1993
|
|||
|
|
|||
|
References:
|
|||
|
|
|||
|
1) Patent granted to Viktor Schauberger by Austrian Patent Office,
|
|||
|
number 117 749 of 10 May 1930
|
|||
|
|
|||
|
2) Implosion nr. 58, pg 31 article (unsigned) "Kann Energie wachsen?"
|
|||
|
|
|||
|
3) Hasslberger, Josef "Understanding Water Power"
|
|||
|
EXPLORE! Vol. 4 number 1, 1993
|
|||
|
|
|||
|
4) Herbrand, Ludwig "Das Geheimnis der Wasserkraft", 1. Nov. 1990, S. 9
|
|||
|
|
|||
|
5) Alexandersson, Olof "Living Water" Gateway Books, Bath, UK
|
|||
|
|
|||
|
6) Schauberger, Viktor "Das Problem der Donauregulierung" in Implosion nr. 23
|
|||
|
|
|||
|
7) Hasslberger, Josef "A new Beginning for Thermodynamics"
|
|||
|
EXPLORE! Vol. 4 number 5, 1993
|
|||
|
|
|||
|
8) Hasslberger, Josef "Physics - At the End of a Blind Alley?"
|
|||
|
EXPLORE! Vol. 3 number 5, 1992
|
|||
|
------------------------------------------------------------------------------
|