54
K. Fraˇ na et al.
Where u,v and w are velocities in x,y,z coordinate system, ρ is density, p is pressure
and g is a gravity. The action on the particles can be express as a balance of forces acting
on the particle. In generally, drag force, lift force, gravity and so called a force generated
by the pressure gradient are taken into account in calculations. The equation describes
this balance force can be express as in (5).
m
du p
dt
= 6π r p μ p (u − v) −
m f
ρ f
∇p +
m f
2
d
d t
(u − v) +
m p − m f
g
+ 6r p p
2
πμ f ρ f
t
t0
. . . d τ,
(5)
where index p or f express particle or fluid, r p is radius of particle, m is mass weight
and u or v expresses velocities. Computational grid was generated by means of the
snappyhexmesh tool and calculations were treated as an unsteady and as a three dimensional problem. To calculate a turbulent feature, the Large Eddy Simulation approach
was adopted.
2.2 Experiments
An experimental setup to measure pressure differences at the cyclone was designed to
confirm the results of the initial analytical flow models (Fig. 1). The individual components of the test design were dimensioned in such a way that the experimental setup
could be easily modified.
Fig. 1. Schematic representation of the experimental setup
The cyclone, which was manufactured using an additive production process, was
connected via a polyvinyl chloride (PVC) pipe to a radial fan (Angelo-Po, Carpi, Italy,
K. Fraˇ na et al.
Where u,v and w are velocities in x,y,z coordinate system, ρ is density, p is pressure
and g is a gravity. The action on the particles can be express as a balance of forces acting
on the particle. In generally, drag force, lift force, gravity and so called a force generated
by the pressure gradient are taken into account in calculations. The equation describes
this balance force can be express as in (5).
m
du p
dt
= 6π r p μ p (u − v) −
m f
ρ f
∇p +
m f
2
d
d t
(u − v) +
m p − m f
g
+ 6r p p
2
πμ f ρ f
t
t0
. . . d τ,
(5)
where index p or f express particle or fluid, r p is radius of particle, m is mass weight
and u or v expresses velocities. Computational grid was generated by means of the
snappyhexmesh tool and calculations were treated as an unsteady and as a three dimensional problem. To calculate a turbulent feature, the Large Eddy Simulation approach
was adopted.
2.2 Experiments
An experimental setup to measure pressure differences at the cyclone was designed to
confirm the results of the initial analytical flow models (Fig. 1). The individual components of the test design were dimensioned in such a way that the experimental setup
could be easily modified.
Fig. 1. Schematic representation of the experimental setup
The cyclone, which was manufactured using an additive production process, was
connected via a polyvinyl chloride (PVC) pipe to a radial fan (Angelo-Po, Carpi, Italy,