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Stormwater Quality Design Manual (May 2007) - City of Sacramento ...

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QL = tW⎛1.49W⎜⎝ Q ns ⎞⎟⎠0.6Where,L = filter strip length (feet)t = hydraulic residence time (seconds)Q = design flow (cfs)W = filter strip width (feet)n = Manning’s roughness coefficients = longitudinal slope along pathWQF = C iAWhere,WQF = design flow (cfs)C = Rational Run<strong>of</strong>f coefficienti = rainfall intensity (in/hr)A = Area (acres)The equation is solved for hydraulic residence time, using various setback lengths and thefollowing assumptions.Residential Disconnected Ro<strong>of</strong> Drain Assumptions:W = 5 feet (recommended by local hydrologist as typical average)s = 0.01n = 0.35 (residential is likely to have short grasses)C = 0.9 (rational C) (corresponds to ro<strong>of</strong>top’s 100% imperviousness)Ro<strong>of</strong>top area = 2,500 sq feet (average ro<strong>of</strong> area for 5-7 DU/A)The hydraulic residence time is then computed as a percentage <strong>of</strong> the value for full treatment, identified asbeing 7 minutes by many stormwater manuals. The results are summarized in Table 2, and multipliers arerounded to the nearest 0.05 in the form.Table 2 – DRD Efficiency Multipliers Based on Length <strong>of</strong> Front Yard SetbackLength <strong>of</strong> Setback Residence Time Percent <strong>of</strong> 7 minutes Efficiency multiplier25 feet 8.6 min 123% 120 feet 6.9 min 98% 0.9815 feet 5.2 min 74% 0.7410 feet 3.4 min 48% 0.485 feet 1.7 min 24% 0.24<strong>Stormwater</strong> <strong>Quality</strong> <strong>Design</strong> <strong>Manual</strong> for the <strong>Sacramento</strong> and South Placer Regions<strong>May</strong> <strong>2007</strong> Appendix D-4 Page 4

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