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Question 1. Two filter beds are in a water treatment plant, with media and dimensions as follows. Water discharges into this filter bed over a weir that is set at 110.00 feet above datum. The water then flows downward through each of these filters, with an approach velocity into each of these filter beds of 0.01 ft/sec. Point A is 90.00 feet above datum, and water pressure in the pipe at A is 3.0 psi.
Parameter, units
Filter B
Filter C
Media type
sand
anthracite
Media depth, ft
3
5
Filter surface area, ft x ft
12 x 12
15 x 10
Grain diameter, ft
0.0025
0.007
Grain density, lb sec2/ft4
4
Porosity when treating water, unitless
0.4
0.6
Shape factor
6
7
J
For both beds, g = 32.2 ft/sec2, kinematic viscosity = 1.4 x 10-5 ft2/sec, absolute viscosity = 2.8 x 10-5lb-sec/ft2, density of water = 1.937 lb sec2/ft4.
All pipes are 8" in diameter. Each pipe has a control valve, set to a k of 10 (including this valve's short pipe stub). Moreover, from filter C to point A, there is another 100-foot long 8" diameterpipe, as shown, with f = 0.03. (There is no headloss through the underdrain media).
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