How To Draw Oxygen Sag Curve
oxygen sag bend
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Dissolved Oxygen DepletionDissolved Oxygen Sag CurveMass Remainder Approach Originally adult by H.W. Streeter and E.B. Phelps in 1925 River described every bit plug-flow reactor Mass balance is simplified by choice of Mass remainder is simplified by option of organisation boundaries Oxygen is depleted by BOD exertion Oxygen is gained through reaerationSteps in Developing the Practise Sag Curve1. Make up one's mind the initial conditions2. Determine the reaeration rate from stream geometry3. Determine the deoxygenation charge per unit from 3. Determine the deoxygenation charge per unit from BOD examination and stream geometry4. Calculate the Practise deficit as a function of time5. Calculate the time and deficit at the critical pointSelecting System BoundariesInitial MixingQw= waste product menstruum (m3/s)DOw= DO in waste (mg/L)L = BOD in waste (mg/L)Qr= river flow (m3/s)DOr= DO in river (mg/L)Lr= BOD in river (mg/Fifty)Qmix= combined flow (m3/southward)DO = mixed Practice (mg/L)La= mixed BOD (mg/L)Lw= BOD in waste (mg/L)1. Decide Initial Conditionsa. Initial dissolved oxygen concentrationb. Initial dissolved oxygen deficitDO Exercise Ds =r wr r w wQ QDO Q DO QDO++=where D = DO deficit (mg/L)DOs= saturation Do conc. (mg/Fifty)Practise Exercise Ds =mixr r west wsQDO Q Exercise QDO D + =one. Determine Initial ConditionsDOsatis a part of temperature. Values tin be constitute in Table half-dozen.nine (Gilbert Masters)c. Initial ultimate BOD concentrationL Q L Q +r wr r west waQ QL Q L QL++=2. Determine Reaeration Ratea. OConnor-Dobbins correlationwhere kr= reaeration coefficient @ 20C (day-1)u = average stream velocity (m/s)2 / 32 / 19 . 3hukr =u = average stream velocity (m/s)h = average stream depth (m)b. Correct rate coefficient for stream temperaturewhere = 1.0242020 , = Tr r k kDetermine the Deoxygenation Ratea. rate of deoxygenation = kdLtwhere kd= deoxygenation rate coefficient (day-1)Lt= ultimate BOD remaining at time (of travel downstream) t time (of travel downstream) tb. If kd(stream) = grand (BOD test)andt ktde Fifty Fifty = 0t kdde L k = 0tion deoxygenta of rate3. Determine the Deoxygenation Ratec. Right for temperature2020 , = Tr r k kwhere = 1.135 (4-20C) or one.056 (twenty-30C)4. DO every bit function of time Mass balance on moving element Solution isD k 50 kdtdDr t d = Solution is( ) ( )t kat thou t kd ra dtr r de D due east ek kL kD + =5. Calculate Critical time and Do
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\| =a dd radrd rcL kk kDkkk kt ane ln1( )L k( ) c r c r c d t kat k t ka ra dc e D due east ek kL kD + =
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