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Computational Biomechanics
-Navid Allahverdi
CYCLONE THEORY
-Pritam Patil
Cyclone
• Rotational effects
and gravity
• Fluid flows in a
spiral pattern
• Heavier particles
have high inertia
• Strike the wall and
fall off
• Forced vortex
removes air from top
Models
• 1] k-έ model: It assumes isotropic turbulence, so
it is not suitable for the flow in a cyclone which
has anisotropic turbulence.
• 2] ASM model: It ignores the effect of stress
convention.
• 3] Reynolds’ Stress Model (RSM): It solves a
transport equation for each component of
Reynolds’ Stress.
3 Forces on particles
• r(p) Radius of Particle
• ρ(f)  Density of Fluid
• ρ(p)  Density of particle
• r Rotational radius of the
particle in the cyclone.
• Fd Drag force
• Fc Centrifugal force
• Fb Buoyant Force
Geometry
• Sketch circles
• Skin/Loft
• Extrude
Meshing Error
Mesh Comparison
Paper ANSYS
Tree View
Velocity
Top View
Pressure Contours
Paper Results
Pressure
• Pressure decreases radially
from wall to centre and a
negative pressure zone
appears in forced vortex.
• The pressure gradient is the
largest along the radial
direction, as there exists a
highly intensified forced
vortex.
Tangential Velocity
• The value of tangential velocity
equals zero on the wall and the
centre of the field.
• The high speed fluid enters the
inlet and is accelerated up to
1.5-2 times the inlet velocity.
• Then the velocity decreases as
the gas spins down along the
wall.
Axial Velocity
• Forced vortex is a twisted
cylinder and not completely
axially symmetric, esp. in the
conical section.
• The forced vortex does not
coincide with the geometrical
centre of the cylindrical body
of the cyclone.
• The diameter of the forced
vortex is a little larger than
that of the vortex finder.
Radial Velocity
• The forced vertex in the centre
is a twisted cylinder.
• Its axis does not coincide with
the geometrical axis of the
cyclone and is not a line but a
curve.
• In the conical section, the
radial velocity is much larger
than that of the cylindrical
section..
Comparison
ANSYS Velocity Tangential Velocity
…….
ANSYS Pressure Static Pressure
Mass Flow Rate
Results
• 1] The geometry in Ansys is exactly similar to the one discussed in the paper.
• 2] CFX-mesh generated warnings and also the numbers of elements generated were very large.
• 3] Solver run almost took 2 hours to compile the results since the number of elements very large.
• 4] Boundary condition given at the inlet was Mass Flow Rate instead of the inlet velocity.
• 5] The results were obtained only on the surface and not over the entire volume.
• 6] Velocity results agree with the paper velocity results, i.e. Fluid are accelerated as it enters and the
velocity decreases as the fluid reaches toward the bottom of the cyclone.
• 7] Pressure results agree the paper pressure results, i.e. Pressure decreases radially from the wall toward
the centre however a negative pressure zone was not seen in the ANSYS results probably since the results
of the whole volume of the cyclone was not seen (or calculated by ANSYS)
• 8] But, Mass Flow Rate at the top surface was negative indicating that the velocity is in the opposite
direction demonstrating the formation of the forced
References
• Numerical study of a Gas-Solid flow in a cyclone
separator. (Wang et al) Dec 2003
• http://en.wikipedia.org/wiki/Cyclonic_separati
on

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Cyclone Theory

  • 2. Cyclone • Rotational effects and gravity • Fluid flows in a spiral pattern • Heavier particles have high inertia • Strike the wall and fall off • Forced vortex removes air from top
  • 3. Models • 1] k-έ model: It assumes isotropic turbulence, so it is not suitable for the flow in a cyclone which has anisotropic turbulence. • 2] ASM model: It ignores the effect of stress convention. • 3] Reynolds’ Stress Model (RSM): It solves a transport equation for each component of Reynolds’ Stress.
  • 4. 3 Forces on particles • r(p) Radius of Particle • ρ(f)  Density of Fluid • ρ(p)  Density of particle • r Rotational radius of the particle in the cyclone. • Fd Drag force • Fc Centrifugal force • Fb Buoyant Force
  • 5. Geometry • Sketch circles • Skin/Loft • Extrude
  • 13. Pressure • Pressure decreases radially from wall to centre and a negative pressure zone appears in forced vortex. • The pressure gradient is the largest along the radial direction, as there exists a highly intensified forced vortex.
  • 14. Tangential Velocity • The value of tangential velocity equals zero on the wall and the centre of the field. • The high speed fluid enters the inlet and is accelerated up to 1.5-2 times the inlet velocity. • Then the velocity decreases as the gas spins down along the wall.
  • 15. Axial Velocity • Forced vortex is a twisted cylinder and not completely axially symmetric, esp. in the conical section. • The forced vortex does not coincide with the geometrical centre of the cylindrical body of the cyclone. • The diameter of the forced vortex is a little larger than that of the vortex finder.
  • 16. Radial Velocity • The forced vertex in the centre is a twisted cylinder. • Its axis does not coincide with the geometrical axis of the cyclone and is not a line but a curve. • In the conical section, the radial velocity is much larger than that of the cylindrical section..
  • 20. Results • 1] The geometry in Ansys is exactly similar to the one discussed in the paper. • 2] CFX-mesh generated warnings and also the numbers of elements generated were very large. • 3] Solver run almost took 2 hours to compile the results since the number of elements very large. • 4] Boundary condition given at the inlet was Mass Flow Rate instead of the inlet velocity. • 5] The results were obtained only on the surface and not over the entire volume. • 6] Velocity results agree with the paper velocity results, i.e. Fluid are accelerated as it enters and the velocity decreases as the fluid reaches toward the bottom of the cyclone. • 7] Pressure results agree the paper pressure results, i.e. Pressure decreases radially from the wall toward the centre however a negative pressure zone was not seen in the ANSYS results probably since the results of the whole volume of the cyclone was not seen (or calculated by ANSYS) • 8] But, Mass Flow Rate at the top surface was negative indicating that the velocity is in the opposite direction demonstrating the formation of the forced
  • 21.
  • 22. References • Numerical study of a Gas-Solid flow in a cyclone separator. (Wang et al) Dec 2003 • http://en.wikipedia.org/wiki/Cyclonic_separati on