Determine the head loss for a clean filter bed using the Carman-Kozeny equation for a stratified bed with uniform porosity of 0.40. The rapid sand filter is made up of a 760 mm deep bed of sand, specific gravity of 2.65, shape factor (4) = 0.80, temperature of 10°C, and filtration rate of 1.70 liters per second per square meter (Lpsm²). A sieve analysis is presented below. Sieve # (1) 14-20 20-28 28-32 32-35 35-42 42-48 48-60 60-65 65-100 % Sand retained (Xij) (2) 0.44 14.33 43.22 27.07 9.76 4.22 0.54 0.29 0.13 100 dij (m x 10-4) (3) 10.0060 7.111 5.422 4.572 3.834 3.225 2.707 2.274 1.777

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.7P
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Determine the head loss for a clean filter bed using the
Carman-Kozeny equation for a stratified bed with
uniform porosity of 0.40. The rapid sand filter is made
up of a 760 mm deep bed of sand, specific gravity of
2.65, shape factor (4) = 0.80, temperature of 10°C, and
filtration rate of 1.70 liters per second per square meter
(Lpsm²). A sieve analysis is presented below.
Sieve #
(1)
14-20
20-28
28-32
32-35
35-42
42-48
48-60
60-65
65-100
% Sand retained
(Xij)
(2)
0.44
14.33
43.22
27.07
9.76
4.22
0.54
0.29
0.13
100
dij
(m x 10-4)
(3)
10.0060
7.111
5.422
4.572
3.834
3.225
2.707
2.274
1.777
Transcribed Image Text:Determine the head loss for a clean filter bed using the Carman-Kozeny equation for a stratified bed with uniform porosity of 0.40. The rapid sand filter is made up of a 760 mm deep bed of sand, specific gravity of 2.65, shape factor (4) = 0.80, temperature of 10°C, and filtration rate of 1.70 liters per second per square meter (Lpsm²). A sieve analysis is presented below. Sieve # (1) 14-20 20-28 28-32 32-35 35-42 42-48 48-60 60-65 65-100 % Sand retained (Xij) (2) 0.44 14.33 43.22 27.07 9.76 4.22 0.54 0.29 0.13 100 dij (m x 10-4) (3) 10.0060 7.111 5.422 4.572 3.834 3.225 2.707 2.274 1.777
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