Hi i am Felix from Munich.
currently i am doing a research study about Fluids with Fractals.
My idea came when i have done some research about Aerodynamics with Airplanes.
There i discovered, that the principle of lift is commonly misunderstood.
First i figured out, that the core principles of classical Fluid dynamics are
interpreted wrong, thus it comes to weird conclusions in the interpretation.
Even experts today debate about the real reason of lift and are not clear
which physical principle is responsible:
http://www.grc.nasa.gov/WWW/K-12/airplane/bernnew.htmlSo there is actually no common and derivable model in aerodynamics which describe the
core Behaviour of Fluid, compared to newtonian principles for technical mechanics.
You only can analyze through several newtonian methods with an incremental render step
how the fluid behaves next. but this differential method can not describe Fluids
they just look for divergence. Its "try and error" fluid dynamics.
We also know that try and error algorithms are highly render consuming,
so is this method.
Newtonian methods are commonly used, when you do not know the function on which the
behaviour is based on. but to really understand fluids. you have to find the true derivable
principle of Fluids. And therefore you need an Explaination which is mechanically correct.
So Normally when you try to understand Physics of flow the first what you learn is Bernoulli.
But Bernoulli explains forces and energy with an pressure field called dynamic pressure.
it claims this acceleration comes when there are obstacles in the way.
Like in a tube system where there is a narrow cross section = a (venturi) vent, included.
But the first question would be, why should the Fluid accelerate itself just because there is an obstacle?
Well wou say it's obvious, because the real example shows it works, but the Bernoulli principle
doesn't include this by definition.
Due the 3rd law of Newton, the actio = reactio principle, mass doesn't move by itself.
The acceleration field - claimed to be existing - has no origin of existence.
it's commonly said: just because there is motion in a system it is claimed to exist.
An its Force is proportional to velocity^2
But motion is not a
REASON of Force it's a
REACTION of an
EXTERNAL force
Imagine a ball (mass) on a ramp. The potential energy of the height-level of the ramp is equivalent to
the static Pressure. So You say it's obvious when the ball goes down the ramp it accelerates and
potential energy gets converted in kinetic energy. in this example the ball (mass) moves in the gravity field.
But the gravity field is not caused by the balls motion
it's an external Fieldif this would be true, that a mass can create it's own acceleration, then also "Baron von Münchhausen"
(a famous fairytale teller like the brothers Grimm from Germany) could pull himself out of a swamp
(a story he once told about himself)
The Bernoulli principle assumes that by that measuring metod he used:
He would gain a true respond on the conditions existing in the fluid. But this assumption is
unfortunately irritating.
Before discovering the measuring effect in quantum mechanics, nobody ever thought that
values measured are an illusion. But in Fluid dynamics these features apply as well. the values
indicated in the measurement-tubes do not indicate the true conditions inside.
This low pressure measured in the cross section is an result of newton's inertial effect
caused by the centripetal forceThe second axiom of Newton says: normally when a moved body wants to change direction. In our case
the measurement unit, it has to apply an additionally force. This force missing is our dynamic pressure
phenomenon.
in a short equation you can show that the dynamic pressure equals centripetal force:
The centripetal equation also indicates, that the pressure is not only proportional to the
velocity^2 but also to the radius of the measuring tube used.
Examples in reality prove this assumption. For example, a bridge pole in a strong river current:
So finally when you fix the explanation of the phenomenons of Fluids, explained on a venturi vent,
you no longer accept this behavior to be true:
because we saw this would violate against Newtons Laws of Mechanics.
instead there is a constant acceleration through the vent, with a
global pressure drop. As a contradictionary force of acceleration you always get a
resistance force. The energy potential of the pressure drop is
remaining kinetic
But inside Turbulence. Due the average flow speed is lower, so fast fluids mix with slow fluid.
and
kinetic energy is trapped locally in vortices.Turbulence is a mandatory effect to understand what is happening inside,
otherwise you come to misleading conclusions making wrong idealizations:
The resistance is again mandatory due acceleration of inertial mass. Inertial behavior
as a reaction force of acceleration is the reason of any resistor, who is not based on
mechanical friction.
instead the energy is conserved in kinetic energy within turbulence
and thus higher entropy state.
Now by really understanding Fluid dynamics based on Newtons principle, this builds a
totally new Platform. You can from there now argue, that by this behaviour.
Fluid creates Fractal bodies as a correct Answer on mechanical behaviour of FluidsWhere i am Working on and where i look for support:To develop a true Fluid dynamic Simulation you have to see fluid no longer like Bernoulli
but rather a Fractal Body who develops Fractal branched Force Field like a Tree:
when being accelerated through a
global pressure drop
Fluid forms hyperbolic shapes in a system.
If the surface doesn't follow the hyperbolic behavior, it creates turbulent
boundary layers to support the statics. The ideal hyperbolic Form becomes instable
at the border.
higher friction is created through absorbing of kinetic energy into vortices for the boundary layer
who brace the statics.
Finally thats the reason why birds raise their feathers on the upper side when landing.
because the Stream tries to brace the statics. of the fluent body.
i published a Movie explaining this principles in Detail:
http://www.youtube.com/v/AgljP95ukHo?version=3&hl=de_DEMore details can be found in my pre-released publication (in german only - sorry):
http://www.shaker.de/de/content/catalogue/index.asp?lang=de&ID=8&ISBN=OND-00000-0000104&search=yesthe final publication will be online soon.
The Airfoil Project was now awarded with the german innovation Prize
"Querdenker-Award" in Nov 2012:
Now i want to build an fractal algorithm to push this idea further.
I will soon open a thread linking to a Github project...But also other interested Forum visitors are encouraged to develop their own fractal algorithm
out of this idea.