Free settling rate of a sludge is 0.25 cm/min. Using an original height of 25 cm, the sludge settled to a height of 18 cm after the free‐settling period. The sludge was found to settle to a height of 10 cm after 110 min. This particular sludge was found to settle completely to a height of 4 cm. Calculate the time to settle to a height of 1/5 of its original height in a cylindrical tank whose diameter is 85% of its depth if it is 85% full. Consider 100 cubic feet of sludge in the tank.

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 6.8P
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Free settling rate of a sludge is 0.25 cm/min. Using an original height of 25 cm, the sludge settled
to a height of 18 cm after the free‐settling period. The sludge was found to settle to a height of
10 cm after 110 min. This particular sludge was found to settle completely to a height of 4 cm.
Calculate the time to settle to a height of 1/5 of its original height in a cylindrical tank whose
diameter is 85% of its depth if it is 85% full. Consider 100 cubic feet of sludge in the tank.

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