Mechanically
induced vortices have a surprising ability to separate lighter fractions of a
gas or fluid from heavier fractions.
The
Ranque-Hilsch vortex tube separates light from heavy fractions without any
added momentum from rotating machinery.
Cool, low-pressure light fractions exit the feed end, and hot,
low-pressure heavy fractions exit the other end. How the thermal and mass separation happens
in a vortex tube never has been explained.
Light fractions
in flue gas have a higher root-mean-square velocity than heavy fractions,
according to the kinetic theory of gases.
When the flue gas is constrained to rotate in a vortex, centrifugal
separation happens by virtue of this intrinsic velocity difference of gas
fractions.
The formula for
root-mean-square velocity is vrms = (3RT/M)1/2 where R =
the gas constant = 8.31 J/mol.K , T = temperature in Kelvins, and M is the
molar mass in kg/mol). At room
temperature (300 K), carbon dioxide (molar mass 44 g/mol) has a
root-mean-squared speed of 412 m/s, while nitrogen (28 g/mol) is 25% faster at
517 m/s, and sulfur dioxide (64 g/mol) is 17%
slower at 342 m/s. Water vapor
(18 g/mol) is the fastest fraction of all at 645 m/s. Momentum of the various fractions is in an
inverse order, with water vapor having the lowest momentum although it has the
highest root-mean-square velocity.
In fine scale
vortices, centripetal acceleration is strong due to the small radius. For light fractions in the vortex flow,
centripetal acceleration is especially strong due to their high velocity. Centripetal acceleration of light fractions
will be significantly higher than centripetal acceleration of heavy fractions,
without any momentum transfer from the apparatus as in a conventional gas
centrifuge. This should be clear from
inspection of the formula for centripetal acceleration: a = v2/r (a
= centripetal acceleration, v = velocity, and r = vortex radius).
The rotation of
the impellers of the McCutchen Process, which is exclusively represented by Vorsana, serves to organize a radial tree network
of low pressure gradients to sweep and concentrate the tiny separation effects
of the turbulent vortices. This can be
considered as a dynamically created multiscale radial array of vortex
tubes. With this, a feed flow can be
separated , with the light fractions squeezed into vortex cores, to be axially
extracted in an inward sink flow, while the heavy fractions are thrown outward by the vortices to become a
concentrated radial outward flow. In the
radial array, the feed end and cool light fraction end of each vortex tube is
at the impeller axis, and the hot heavy fraction end is at the vortex
periphery. It should be noted that residence
time is long, unlike the conventional vortex tube, so separation can be very
thorough.
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