A rotating disk in water will
produce an array of spirals radiating from its center. These spirals are swirling flow, like
tornados in the water, driven by disk momentum transfer. Water against the disk is advected, or
transported in the fluid, radially outward in a boundary layer, but the
boundary layer drags on the water above the disk. At the same time the water is advected around
the disk axis of rotation, also dragging on the water above the disk. The outcome of all of these intersecting
twists is swirling flow out from the disk axis of rotation, feed coming from
the water above the disk. The curved
vortex is a large scale coherent structure in turbulence.
Now imagine another disk
opposite, rotating in the opposite direction, and you have von Karman swirling
flow (s = -1). The large scale coherent
structures now are like spokes in a wheel because the spiral bends from each
disk cancel out. Boundary layers against
each disk flow radially outward, and between the disks is a shear layer, where
the coherent structures exist. But now
there is no way to feed more water in between the disks to keep the flow
going. So what you have is a closed
system.
Most of us are accustomed to
thinking of turbulence as chaos, i.e. total disorganization which is no benefit
at all to anything. But here there is
organized turbulence in coherent structures.
The tornado and the hurricane are other examples of organized
turbulence. Harnessing organized
turbulence for fluid separation is what we do at Vorsana, Inc, going beyond
closed systems to open systems.
The Navier-Stokes equations,
which are the foundation of fluid dynamics theory, are relics from the steam
age which are unreliable in three dimensions, i.e. in nearly all real-world
applications. Nonlinear fluid dynamics
is very unpredictable, as is attested by the impossibility of predicting the
weather. The “butterfly effect” (a
butterfly in Hong Kong causes a hurricane in Houston) is an often-cited illustration
of nonlinear fluid dynamics, or chaos theory.
There is even a $1 million prize offered by the Clay Mathematics
Institute to anyone who can prove the existence and smoothness of Navier-Stokes
in three dimensions. It is one of the
seven great unsolved problems of mathematics.
If we can’t predict the weather, how can there possibly be a totally
predictive Theory of Everything in particle physics? So scientists, lacking a reliable
mathematical tool for modeling turbulence in all but the simplest cases, have
turned to brute force computer simulations to get a clue.
Much investigation has been done
on the case of closed system von Karman swirling flow, particularly in liquid
sodium magnetohydrodynamics studies. The
closed system is typically a cylinder having counter-rotating end caps. The aspect ratio (ratio of disk separation to
disk radius) of the setup is typically high in these studies, allowing for a
large so-called recirculation flow from the cylinder wall (shrouding wall) back
between the disks to the axis of rotation.
Extremely high turbulence (Re ~ 106) is produced near the
shroud. Because closed systems have no
mass flow in and out, they have little direct applicability to pollution
control. However, the discovery of high
turbulence at the periphery, where disk shear meets recirculation flow,
suggests that there must be some way to improve scrubbing by improving mixing
in a different way than the conventional methods of spraying or jetting the
scrubbing solution into the flue gas.
The proprietary McCutchen Scrubber does that, using an open system.
Open systems are flow-through
setups. Mass flows in, and mass flows
out, continuously. The McCutchen Scrubber uses von Karman swirling flow in an open system to effect good mixing
for better scrubbing and to strip out the nitrogen ballast in flue gas. So carbon dioxide is captured and scrubbed at
the same time, in very high turbulence and with long residence time in the
processing zone, in a process driven by mechanical means. Radial counterflow between the disks
continuously takes flue gas in at the axis, expels nitrogen and water vapor out
at the axis, and collects carbon dioxide, fly ash, mercury, NOx and SOx at the
periphery. The radial vortices of von
Karman swirling flow act as sink flow conduits for light fractions, such as the
nitrogen in flue gas.
At Vorsana, Inc. we have also
developed proprietary technology for applying open system von Karman swirling
flow to other important fluid separation tasks, such as extracting fresh water
from reverse osmosis reject brine or seawater, separating out hydrogen sulfide,
water vapor, mercaptans, and other junk from the methane in natural gas, and
stripping volatiles and dissolved non-condensible gases in municipal or
industrial wastewater.
Organized turbulence is our hope
for a solution to the global climate change crisis. If a forcing regime is put in place, driven
by cheap mechanical energy, the fluid fractions will naturally separate
themselves, spontaneously. The forcing
regime then collects the effects and keeps the process going continuously.
The difference between this and
the old-fashioned approach of micromanaged chemically-based systems for
pollution control can be compared to the difference between top-down total
control tyranny, often proved to be a failure in human government for
generating prosperity, and the concept of freedom under strict and wise law,
which allows the people to generate prosperity spontaneously and provides a
coherent structure for collecting the tiny individual contributions.
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