Question

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ENVE 4410/5510 INTRODUCTION TO ENVIRONMENTAL ENGINEERING PROBLEM SET NO. 9 Filtration 1. (VH, p.348,10.28) Using the Kozeny equation, calculate the initial head loss (in ft) through a filter with 18 in. of uniform sand having a porosity of 0.42 and a grain diameter of 1.6 x 103 ft. Assume spherical particles and a water temperature of 50°F. The filtration rate is 2.5 gpm/ft 2. (DC, p 280; 3-81) The rapid sand filter being designed for the Filter City has the characteristics and sieve analysis shown below U.S. Standard Sieve No. Mass Percent Retained 8-12 12-16 16-20 20-30 30-40 40-50 50-70 70-100 0.01 0.39 5.70 25.90 44.00 20.20 3.70 0.10 Filter depth-0.60 m, Filter loading- 120 mld. m2, Sand specific gravity 2.50, Shape factor (sphericity) 1.00, Stratified bed porosity 0.42, Water temperature 19°C (At 19°C, expected kinetic viscosity of water is 1.029 x 106 mls.) Determine the head loss for the clean filter bed in a stratified condition using the methods described by Fair and Hatch 3. For the sieve analysis shown above (in Problem 2). Determine the head loss for the clean filter bed in a stratified condition using the methods described by Rose

Answer 1

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