Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low Calculator

✖Reactor Volume refers to the physical volume of a reactor used in chemical processes.ⓘ Reactor Volume [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Mean Cell Residence Time d refers to the average time that biomass (microorganisms) remains in the treatment system.ⓘ Mean Cell Residence Time d [θ_m]			+10% -10%
✖WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.ⓘ WAS Pumping Rate from Return Line [Q_w']			+10% -10%

✖Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.ⓘ Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low [X_r]

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Formula

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Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low

Formula

X r = V \cdot \frac{X}{θ m \cdot Q w'}

Example

214.2857 mg/L = 1000 m³ \cdot \frac{1200 mg/L}{14 d \cdot 400 m³/d}

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Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time d*WAS Pumping Rate from Return Line)
X_r = V*X/(θ_m*Q_w')
This formula uses 5 Variables

Variables Used

Sludge Concentration in Return Line - (Measured in Kilogram per Cubic Meter) - Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.
Reactor Volume - (Measured in Cubic Meter) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Mean Cell Residence Time d - (Measured in Second) - Mean Cell Residence Time d refers to the average time that biomass (microorganisms) remains in the treatment system.
WAS Pumping Rate from Return Line - (Measured in Cubic Meter per Second) - WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.

STEP 1: Convert Input(s) to Base Unit

Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Mean Cell Residence Time d: 14 Day --> 1209600 Second (Check conversion here)
WAS Pumping Rate from Return Line: 400 Cubic Meter per Day --> 0.00462962962962963 Cubic Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_r = V*X/(θ_m*Q_w') --> 1000*1.2/(1209600*0.00462962962962963)

Evaluating ... ...

X_r = 0.214285714285714

STEP 3: Convert Result to Output's Unit

0.214285714285714 Kilogram per Cubic Meter -->214.285714285714 Milligram per Liter (Check conversion here)

FINAL ANSWER

214.285714285714 ≈ 214.2857 Milligram per Liter <-- Sludge Concentration in Return Line

(Calculation completed in 00.004 seconds)

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Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low

Go Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time d*WAS Pumping Rate from Return Line)

Recirculation Ratio

Go Recirculation Ratio = Return Activated Sludge/Average Daily Influent Flow Rate

Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low Formula

Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time d*WAS Pumping Rate from Return Line)
X_r = V*X/(θ_m*Q_w')

What is wasting rate?

The Wasting rate from return line is the time required to waste sludge from the return sludge line because return activated sludge is more concentrated and requires smaller waste sludge pumps.

How to Calculate Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low?

Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low calculator uses Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time d*WAS Pumping Rate from Return Line) to calculate the Sludge Concentration in Return Line, The Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low formula is defined as the amount of suspended solids present in the sludge, which includes both biomass (microorganisms) and inert materials. Proper management of sludge concentration is essential for the efficient operation of treatment plants, affecting processes such as aeration, sedimentation, and sludge handling. Sludge Concentration in Return Line is denoted by X_r symbol.

How to calculate Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low using this online calculator? To use this online calculator for Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low, enter Reactor Volume (V), MLSS (X), Mean Cell Residence Time d (θ_m) & WAS Pumping Rate from Return Line (Q_w') and hit the calculate button. Here is how the Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low calculation can be explained with given input values -> 214285.7 = 1000*1.2/(1209600*0.00462962962962963).

FAQ

What is Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low?

The Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low formula is defined as the amount of suspended solids present in the sludge, which includes both biomass (microorganisms) and inert materials. Proper management of sludge concentration is essential for the efficient operation of treatment plants, affecting processes such as aeration, sedimentation, and sludge handling and is represented as X_r = V*X/(θ_m*Q_w') or Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time d*WAS Pumping Rate from Return Line). Reactor Volume refers to the physical volume of a reactor used in chemical processes, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Mean Cell Residence Time d refers to the average time that biomass (microorganisms) remains in the treatment system & WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.

How to calculate Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low?

The Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low formula is defined as the amount of suspended solids present in the sludge, which includes both biomass (microorganisms) and inert materials. Proper management of sludge concentration is essential for the efficient operation of treatment plants, affecting processes such as aeration, sedimentation, and sludge handling is calculated using Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time d*WAS Pumping Rate from Return Line). To calculate Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low, you need Reactor Volume (V), MLSS (X), Mean Cell Residence Time d (θ_m) & WAS Pumping Rate from Return Line (Q_w'). With our tool, you need to enter the respective value for Reactor Volume, MLSS, Mean Cell Residence Time d & WAS Pumping Rate from Return Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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