Basic Water Treatment, Third Edition

Appendix 1: Sample Calculations

1 EXAMPLES OF CALCULATIONS FOR COAGULATION

Example 1: Sinuous channel

A sinuous channel has 15 round-the-end cross-walls. Water is passed along with a velocity of 0.2 m/s between the cross-walls and 0.5 m/s round the ends. The flow is 0.3 m 3/s and the nominal retention time is 25 min. For a temperature of 10 C, estimate the additional loss of head, the power dissipated, and the G and GT values (Fig. A1.1).



Figure A1.1: Sinuous channel for flocculation

Using equation (5.2):


and


Using equation (5.1):


Thus


Example 2: Weir mixing

A flow of 50 000 m 3/day is to be dosed with a coagulant. Destabilization will be by double layer compression. To ensure proper mixing a G of 1500 s ? 1 is required. Assuming that the flow over the weir discharges into a chamber with a volume of 2 m 3, what height of weir is required?


Therefore

retention time in mixing chamber = 2 m 3/(0.58 m 3/s) = 3.4 s.

Apply equation (5.3):


Thus


Thus


2 EXAMPLES OF CALCULATION OF CHEMICAL DOSAGES

A water-treatment works treats a flow of 50 000 m 3/day. The water is dosed with alum at a dose of 5 mg Al/l. This permits the removal of an average of 5 mg/1 of colloidal material in the clarifiers. Calculate:

  1. the quantity of 8% Al 2O 3 alum solution required (specific gravity of 8% solution is 1.32);

  2. the amount of alkalinity...

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