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

✖The Reactor Volume gives us the capacity of the reactor.ⓘ 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 is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+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 is the total BOD that is present in the return line.ⓘ Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low [X_r]

⎘ Copy

👎

Formula

✖

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

Formula

`"X"_{"r"} = "V"*"X"/("θ"_{"c"}*("Q"_{"w"}"'"))`

Example

`"428.5714mg/L"="1000m³"*"1200mg/L"/("7d"*"400m³/d")`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

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*WAS Pumping Rate from Return Line)
X_r = V*X/(θ_c*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 is the total BOD that is present in the return line.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
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 - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
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: 7 Day --> 604800 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_c*Q_w') --> 1000*1.2/(604800*0.00462962962962963)

Evaluating ... ...

X_r = 0.428571428571428

STEP 3: Convert Result to Output's Unit

0.428571428571428 Kilogram per Cubic Meter -->428.571428571428 Milligram per Liter (Check conversion here)

FINAL ANSWER

428.571428571428 ≈ 428.5714 Milligram per Liter <-- Sludge Concentration in Return Line

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of a complete mix activated sludge reactor » Sludge Concentration using Wasting Rate from Return Line when Solid Concentration in Effluent is Low

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 2 Design of a complete mix activated sludge reactor Calculators

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*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*WAS Pumping Rate from Return Line)
X_r = V*X/(θ_c*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*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 is calculated using the values of sludge age, volume of reactor, mlss concentration, and waste activated sludge pumping rate from return line concentration. 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 (θ_c) & 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 -> 300000 = 1000*1.2/(604800*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 is calculated using the values of sludge age, volume of reactor, mlss concentration, and waste activated sludge pumping rate from return line concentration and is represented as X_r = V*X/(θ_c*Q_w') or Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time*WAS Pumping Rate from Return Line). The Reactor Volume gives us the capacity of the reactor, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Mean Cell Residence Time is the average time that the sludge remains in the reactor & 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 is calculated using the values of sludge age, volume of reactor, mlss concentration, and waste activated sludge pumping rate from return line concentration is calculated using Sludge Concentration in Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time*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 (θ_c) & 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 & 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.

Home

FREE PDFs

🔍 Search