Ilm-fan va ta’limda innovatsion yondashuvlar, muammolar, taklif va

 
Figure 1. Geometric scheme of the dust collector: 

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“ILM-FAN VA TA’LIMDA INNOVATSION YONDASHUVLAR, MUAMMOLAR, TAKLIF VA 
YECHIMLAR” MAVZUSIDAGI 2
4
-SONLI RESPUBLIKA ILMIY-ONLAYN KONFERENSIYASI
“UzACADEMIA” scientific-methodical journal
 
 
 
 
254 
www.academiascience.uz
S is the surface of the part where the initial vortex is formed; a, b-dust air 
inlet pipe; Dx-vortex pipe diameter; Bc-dust tube; Dc - camera diameter; Hs, he, 
t-Stations are described.
 
 
Using discrete phase model equations, dust air purification cyclones typically 
control very low particle loads (3-5%) and solids dispersed on very small volume 
surfaces (10
–6
μm). Consequently, in the simulation of dust air purification cyclones, 
the interaction of particles and the dispersed phase may be ineffective to the 
continuous phase. 
From the Euler-Lagrange integrated equation we can write the following 
equation to express the forces between the particles, the trajectories of the scattered 
particles, the balancing forces between the scattering particles. 
(3) 
where U
pi
is the particle velocity, 
ρ
p
-is the particle density,
 
-is the gravitational 
acceleration, and 
F
D
 (U
i
 -U
pi
)
- is the resistance force per unit mass of the particle due 
to the relative displacement between the dispersed particle and the dusty air. Here F
D 
for spherical particles can be written as: 
(4) 
where dp is the particle diameter, and R
e
is the relative Reynolds number, 
determined as follows: 
(5) 
Since the particles studied by this study are very small (e.g., 0.5–6.8 mm), the 
effect of the instantaneous vibration of the dust and the turbulent expansion rate of 
the small particles cannot be ignored. 
(9) 
In determining the generalized forces, we determine the resistance force of the 
air acting on the particle as follows. 
(10) 
where: :
F
r
, F
φ
, F
z
are the constituent forces on the axes.
ẽ
r
, 
ẽ
φ
, 
ẽ
z
are unit 
vectors. 
If α, β, γ are the reference cosines, then we have the following. 

cos


F
F
r
, 


cos


F
F
, 

cos


F
F
z
(11) 
We say that the air resistance is proportional to the square of the particle 
velocity (
υ
r
, 
υ
φ
, 
υ
z
- air flow velocity; 
r
, 

, and 
z
projections on the axes). 

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“ILM-FAN VA TA’LIMDA INNOVATSION YONDASHUVLAR, MUAMMOLAR, TAKLIF VA 
YECHIMLAR” MAVZUSIDAGI 2
4
-SONLI RESPUBLIKA ILMIY-ONLAYN KONFERENSIYASI