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Bernoulli’s Principle and the Theory of Flight
Frederick David Tombe,
Northern Ireland, United Kingdom,
sirius184@hotmail.com
28th December 2007, Manila, Philippines
Abstract. When an aeroplane moves horizontally through the air, the air pressure
below the wings is greater than the air pressure above the wings. This causes a
force to act vertically upwards on the aeroplane, at right angles to its direction of
motion. Likewise when an electric current flows through a wire in a magnetic
field, a differential pressure is exerted on either side of the wire, causing a force
to act at right angles to the wire. In the former case the pressure arises from the
centrifugal force that is being exerted by the air molecules, whereas in the latter
case the pressure arises from the centrifugal force that is being exerted by the
tiny molecular vortices that form the medium for the propagation of light.
Centrifugal Force
I. The classical planetary orbital equation indicates that centrifugal force
is a radial inverse cube law repulsive force which is dependent on angular
momentum. The inverse cube law relationship is indicative of a dipole
field, and so centrifugal force must be an electromagnetic effect arising in
a sea of electric dipoles.
Maxwell proposed that space is filled with a solenoidally aligned sea
of molecular vortices. He demonstrated that it is asymmetric centrifugal
pressure in this sea of molecular vortices which causes the force that acts
on a current carrying wire. This is explained on page 172 in part I of his
1861 paper “On Physical Lines of Force”.[1] Combining these two lines
of reasoning, we can conclude that space is densely packed with rotating
electron-positron dipoles in which the electrons act as aether sinks, and in
which the positrons act as aether sources. Each dipole will entail an
electron and a positron undergoing mutual circular orbit. These dipoles
will be solenoidally aligned along their mutual rotation axes in a double
helix fashion such that the alternate stacking of the electrons and the
positrons gives rise to magnetic lines of force and the associated
Coulomb tension along those lines of force.[2] The electron-positron sea
will be referred to as “The Electric Sea”. As regards aerodynamic lift, the
source of the centrifugal force will be on a larger scale. Air pressure
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arises because of the repulsive force that exists between the air molecules
due to their vorticity.
Compound Centrifugal Force
II. Compound centrifugal pressure is the resultant of two opposing
centrifugal pressures in a medium that is comprised of molecular vortices.
It can be either written as v×H or as (A.v), where H is vorticity, A is the
momentum per unit volume of aether, and A.v is the centrifugal potential
energy. See “The Coriolis Force in Maxwell’s Equations”.[3]
In the radial field of a planetary orbit, the gravitational tail on the far
side of the planet ensures that no inward centrifugal pressure acts on that
side. The outward pressure in this case is therefore a simple centrifugal
pressure with formula ½(A.v). The compound centrifugal force is
however observed in the transverse motion of a non-circular planetary
orbit. The gravitational field of planetary bodies will entrain an extended
region of the electric sea when they are undergoing translational motion.
Motion of a planet and its entrained gravitosphere through the wider
electric sea causes an interaction at the interface region which will
generate an inertial aether pressure (kinetic energy). The radial
component of the non-circular motion causes a differential between the
inertial pressure on the windward side of the transverse motion and the
inertial pressure on the leeward side of the transverse motion. This
pressure differential reverses directions according to whether the planet is
moving upwards or downwards. The relationship H = 2ω in the
compound centrifugal force term 2mv×ω, where ω is angular speed,
indicates that the electric sea must be a rigid solid. This solid will be
permeated with an aether juice which oils the interface regions as the
planetary bodies and their gravitospheres move through it. An effusion of
aether pressure from the positrons will cause a hovercraft effect at the
interfaces in line with Kepler’s laws of planetary motion.
If we increase the volume of a sample of gas, the molecules will
dilate and the centrifugal pressure being exerted by the molecules will
reduce. When an aeroplane is moving forwards, the camber on the upper
side of the wings will cause the air above the wings to expand. The air
pressure above the wings will therefore be less than the air pressure
below the wings and a compound centrifugal pressure will induce an
upward vertical force at right angles to the forward motion.
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The Angle of Attack
III. The lift effect in aerodynamics can be enhanced by tilting the wings
relative to the horizontal. This results in extra compression beneath the
wings as well as an additional force due to the wind. However, while
increasing the angle of attack creates these additional effects, it also
reduces the vertical component of the reaction force against the underside
of the wings. There is therefore an optimum angle of attack, and if the
angle of attack becomes too large, the aeroplane will stall.
Conclusion
IV. The principle of flight is “compound centrifugal force”. The air
molecules exert a centrifugal pressure, and they exert it differentially
above and below the wings. This induces a resultant force at right angles
to the forward motion of the aeroplane. The camber on the upper side of
the wings causes a rarefaction and hence a reduction in the air pressure
above the wings as compared to below the wings. The fact that in the
process, the centrifugal potential energy of static compression (the
potential energy) converts to kinetic energy is incidental. The kinetic
energy of the air molecules is their inertial pressure, and it combines with
the static pressure to cause the total pressure. Kinetic energy is the
centrifugal aether pressure that is induced by virtue of motion through the
luminiferous medium. The temperature of a gas is the kinetic energy of
the molecules per unit volume, but the pressure of the gas on the other
hand is the total energy per unit volume, hence it makes no difference to
the total pressure when potential energy converts into kinetic energy.
Bernoulli’s principle is merely a statement of the law of conservation of
energy, but it is not the underlying cause of flight. The theory of flight is
analogous to the force on a current carrying wire in a magnetic field. In
the latter case, the compound centrifugal force arises because of the
molecular vortices that form the luminiferous medium. These vortices
cause an asymmetrical pressure and hence a net force across the current
carrying wire. When the compound centrifugal force acts in the
transverse direction in a radial field, we call it the Coriolis force. The
Coriolis force has strong parallels to the case of an electric current that is
induced when a wire moves at right angles through a magnetic field.
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References
[1] Clerk-Maxwell, J., “On Physical Lines of Force”, Philosophical
Magazine, Volume 21 (1861)
http://vacuum-physics.com/Maxwell/maxwell_oplf.pdf
[2] Tombe, F.D., “The Double Helix Theory of the Magnetic Field”
http://www.wbabin.net/Science-Journals/Research%20Papers-
Mechanics%20/%20Electrodynamics/Download/252
[3] Tombe, F.D., “The Coriolis Force in Maxwell’s Equations”
http://www.wbabin.net/Science-Journals/Research%20Papers-Astrophysics/Download/3161
and also “Archimedes’ Principle in the Electric Sea”, Galilean
Electrodynamics, Volume 20, Number 1, page 19 (2009)
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th
October 2011 amendment