The bed thickness of a speed sand filter is 1.3 m. A sand with a specific diameter of 0.8 mm and a specific gravity of 2600 kg / m3 will be used as filter material. The shape factor of the sand is 0.9 and the porosity of the clean bed is 0.45. The water layer thickness on the bed is 1.1 m. Average filtration speed is 130 m / day and maximum filtration speed is 180 m / day. The maximum flow rate is 24087 m3 / day and the kinematic viscosity of water is 1.01x10-6 m2 / sec. The maximum head loss in the filter is required to be 1.9 m and negative pressure is not allowed. a) Find the initial head loss of the filter bed. b) Find the required number of filters and the area of each filter in case 3 filters are in reserve. c) Calculate how many meters depth the pollution penetrates at the end of filtration.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The bed thickness of a speed sand filter is 1.3 m. A sand with a specific diameter of 0.8 mm and a specific gravity of 2600 kg / m3 will be used as filter material. The shape factor of the sand is 0.9 and the porosity of the clean bed is 0.45. The water layer thickness on the bed is 1.1 m. Average filtration speed is 130 m / day and maximum filtration speed is 180 m / day. The maximum flow rate is 24087 m3 / day and the kinematic viscosity of water is 1.01x10-6 m2 / sec. The maximum head loss in the filter is required to be 1.9 m and negative pressure is not allowed.

a) Find the initial head loss of the filter bed.

b) Find the required number of filters and the area of each filter in case 3 filters are in reserve.

c) Calculate how many meters depth the pollution penetrates at the end of filtration.

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