148
Tecnología y Ciencias del Agua
, vol. VIII, núm. 3, mayo-junio de 2017, pp. 143-150
Campos-Díaz & Alvarez-Cruz,
A proposal of a hydrodynamic model to low Reynolds numbers in a liquid-solid inverse fluidized bed reactor
•
ISSN 2007-2422
Table 2. Model proposed in this work to calculate the porosity of spherical particles.
Model proposed in this paper
Application intervals
1.8
3.74
=
Ar
0.75(24
Re
s
+
C
I
Re
s
2
)
5.5 ≤
Re
s
≤ 200
0.47 ≤ ε ≤ 0.73
Spheres
Ar
Archimedes number
=
d
s
3
g
L
(
L S
)/
μ
L
2
C
I
Inertial coefficient
d
s
Solid diameter
e
Porosity
g
Gravity
m
L
Liquid viscosity
Re
s
Solid Reynolds number
=
d
s
v
L
/
μ
L
r
L
Liquid density
r
s
Solid density
Figure 3. Model proposed to calculate the porosity of spherical particles.
The table 3 shows a comparison of the stan-
dard deviation of the equation proposed in this
work and the equations published in literature.
Conclusions
The experiments were conducted in an inverse
fluidized bed reactor at different flowrates. The
results show that the approach to the balance
of forces acting on a particle, namely gravity,
the buoyancy force and the drag applied to a
normal flow, i.e., from the bottom up, is valid
for case of a reverse flow (from top to bottom).
The equation Wen and Yu (1966) and the equa-
tion proposed in this work are showing a lower
standard deviation to the experimental data.
