Example 3: A non-uniform stratified sand filter described in Table below is to be backwashed at the velocity of 2.5×10-2 m/s. Determine the depth of the expanded bed for the sand filter using the following assumptions: The bed depth = 0.65 m Sieve Porosity = 0.45 No. Particle diameter, mm f, Mass fraction Drag coefficient = 0.4 1.5 0.02 Shape factor 0.85. 14 1.2 0.10 Density of water = 1000 kg/m³ Viscosity 1 x 10-3 N.sec/m² 20 0.8 0.18 SG of the filter particles = 2.6. 25 0.7 0.35 30 0.6 0.17 35 0.5 0.14 40 0.4 0.04

Principles of Geotechnical Engineering (MindTap Course List)
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Author:Braja M. Das, Khaled Sobhan
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Chapter7: Permeability
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Problem 7.23P
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Example 3: A non-uniform stratified sand filter described in Table below is to be backwashed at
the velocity of 2.5×10-2 m/s. Determine the depth of the expanded bed for the sand filter using
the following assumptions:
The bed depth = 0.65 m
Sieve
Porosity = 0.45
No.
Particle
diameter, mm
f, Mass fraction
Drag coefficient = 0.4
-
1.5
0.02
Shape factor 0.85.
14
1.2
0.10
Density of water = 1000 kg/m³
Viscosity 1 x 10-3 N.sec/m²
20
0.8
0.18
SG of the filter particles = 2.6.
25
0.7
0.35
30
0.6
0.17
35
0.5
0.14
40
0.4
0.04
Transcribed Image Text:Example 3: A non-uniform stratified sand filter described in Table below is to be backwashed at the velocity of 2.5×10-2 m/s. Determine the depth of the expanded bed for the sand filter using the following assumptions: The bed depth = 0.65 m Sieve Porosity = 0.45 No. Particle diameter, mm f, Mass fraction Drag coefficient = 0.4 - 1.5 0.02 Shape factor 0.85. 14 1.2 0.10 Density of water = 1000 kg/m³ Viscosity 1 x 10-3 N.sec/m² 20 0.8 0.18 SG of the filter particles = 2.6. 25 0.7 0.35 30 0.6 0.17 35 0.5 0.14 40 0.4 0.04
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