Calculation example

Cleaning an industrial waste gas

Task

Design a cyclone for cleaning 5000 m³/h of an industrial waste gas (density = 1.0 kg/m³, dynamic viscosity = 18.43e^-6 kg/m·s). This gas is polluted with dust of a density of 2500 kg/m³ (dust loading = 0.005).

Use the geometric ratios of type B in table 4.8.

Table 4.8 – Geometric conditions and characteristic values of frequently designed types of cyclones with tangential inlet

Type	Z=z/r_i	z_i/r_i	R_a=r_a/r_i	b/r_a	A_e/A_i	A_v
A	7.5	4.5	4	0.3	0.8	0.7
B	10	7	3.2	0.3	0.8	0.7
C	15	12	2.5	0.53	1.4	1.2

Which particle size can be reached at a maximum pressure drop of 1670 Pa?

Design data

Inlet height	h_e = 0.568 m
Inlet width	b = 0.208 m
Total height of cyclone	h = 2.17 m
Outside diameter of cyclone	r_a = 0.693 m
Length of immersion tube	h_T = 0.65 m
Radius of immersion tube	r_i = 0.217 m
Relative wall roughness	k_s/r_a = 0.0023
Volume flow of gas	V= 5.000 m³/h

Geometry

Input data

Result

Limiting particle d* = 0.004917 mm

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