VOLUME & FLOW RATE CALCULATIONS
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1 A.2 FLOW RATE AND VOLUME CALCULATION EXAMPLE PROJECT NAME Industrial Site Example A-8
2 NOMENCLATURE A I = Impervious Area (acres) A P = Pervious Area (acres) A U = Contributing Undeveloped Upstream Area (acres) A Total = Total Area of Development and Contributing Undeveloped Upstream Area (acres) C D = Developed Runoff Coefficient C U = Undeveloped Runoff Coefficient I X = Rainfall Intensity (inches / hour) Q PM = Peak Mitigation Flow Rate (cfs) T C = Time of Concentration (minutes, must be between 5-30 min.) V M = Mitigation Volume (ft 3 ) EQUATIONS A Total = A I + A P + A U A I = (A Total * % of Development which is Impervious) A P = (A Total * % of Development which is Pervious) A U = (A Total * % of Contributing Undeveloped Upstream Area***) C D = ( 0.9 * Imp. ) + [ ( Imp. ) * C U ] If C D C U, use C D = C U Q PM = C D * I X * A Total * ( 1 hour / 3,600 seconds) * (1 ft / 12 inches) * (43,560 ft 2 / 1 acre) = C D * I X * A Total * ( ft 3 -hour / acre-inches-seconds) T C = * ( C D * I X ) * Length * Slope V M = (0.75 inches) * [( A I )( 0.9 ) + (A P + A U )( C U )] * (1 ft / 12 inches) * (43,560 ft 2 / 1 acre) = ( 2,722.5 ft 3 / acre ) * [ ( A I )( 0.9 ) + ( A P + A U )( C U ) ] *** Contributing Undeveloped Upstream Area is an area where stormwater runoff from an undeveloped upstream area will flow directly or indirectly to the Post-Construction Best Management Practices (BMPs) proposed for the development. This additional flow must be included in the flow rate and volume calculations to appropriately size the BMPs. A-9
3 PROVIDE PROPOSED PROJECT CHARACTERISTICS A Total 5.51 Acres Type of Development Industrial Predominate Soil Type # 6 % of Project Impervious 91% % of Project Pervious 9% % of Project Contributing Undeveloped Area 0% A I Acres A P Acres A U 0 Acres A-10
4 DETERMINING THE PEAK MITIGATED FLOW RATE (Q PM ): In order to determine the peak mitigated flow rate (Q PM ) from the new development, use the Los Angeles County Department of Public Works Hydrology Manual. Use the Modified Rational Method for calculating the peak mitigation Q PM for compliance with the Standard Urban Stormwater Mitigation Plan (SUSMP). Use attached Table 1 for all maximum intensity (I X ) values used. By trial and error, determine the time of concentration (T C ), as shown below: CALCULATION STEPS: 1. Assume an initial T C value between 5 and 30 minutes. T C 15 minutes 2. Using Table 1, look up the assumed T C value and select the corresponding I X intensity in inches/hour. I X inches/hour 3. Determine the value for the Undeveloped Runoff Coefficient, C U, using the runoff coefficient curve corresponding to the predominant soil type. C U Calculate the Developed Runoff Coefficient, C D = ( 0.9 * Imp. ) + [ ( Imp. ) * C U ] C D Calculate the value for C D * I X C D * I X Calculate the time of concentration, T C = * ( C D * I X ) * Length * Slope Calculated T C minutes 7. Calculate the difference between the initially assumed T C and the calculated T C, if the difference is greater than 0.5 minutes. Use the calculated T C as the assumed initial T C in the second iteration. If the T C value is within 0.5 minutes, round the acceptable T C value to the nearest minute. A-11
5 TABLE FOR ITERATIONS: Iteration No. Initial T C (min) I X (in/hr) C U C D C D *I X (in/hr) Calculated T C (min) Difference (min) n/a Acceptable T C value 30 minutes 8. Calculate the Peak Mitigation Flow Rate, Q PM = C D * I X * A Total * ( ft 3 -hour / acre-inches-seconds) Q PM 0.89 cfs Q PM = 0.89 cfs C D = I 30 = A Total = 5.51 acres Use I 30 since T c is greater than 30 minutes. A-12
6 TABLE 1 INTENSITY - DURATION DATA FOR 0.75-INCHES OF RAINFALL FOR ALL RAINFALL ZONES Duration, T C (min) Rainfall Intensity, I X (in/hr) Iteration # Iteration # Approx. ~ A-13
7 DETERMINING THE VOLUME (V M ) In order to determine the volume (V M ) of stormwater runoff to be mitigated from the new development, use the following equation: V M = ( 2,722.5 ft 3 / acre ) * [ ( A I )( 0.9 ) + ( A P + A U )( C U ) ] A I = acres A P = acres C U = 0.1 V M = 12,420 ft 3 A-14
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