Concentration of Solids in Returned Sludge given Sludge Age Calculator

✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Volume of wasted sludge per day is measured in terms of discharge.ⓘ Volume of Wasted Sludge per day [Q_w]			+10% -10%
✖Concentration of solids in the effluent is in the terms of density.ⓘ Concentration of solids in the effluent [X^E]			+10% -10%

✖Concentration of solids in the returned sludge or in the wasted sludge.ⓘ Concentration of Solids in Returned Sludge given Sludge Age [X^R]

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Formula

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Concentration of Solids in Returned Sludge given Sludge Age

Formula

`"X"^{"R"} = ((("V"*"X")/"θ"_{"c"})-("Q"_{"s"}-"Q"_{"w"})*"X"^{"E"})/"Q"_{"w"}`

Example

`"227.2105mg/L"=((("9m³"*"1200mg/L")/"5d")-("10m³/s"-"9.5m³/s")*"3mg/L")/"9.5m³/s"`

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Concentration of Solids in Returned Sludge given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of solids = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)/Volume of Wasted Sludge per day
X^R = (((V*X)/θ_c)-(Q_s-Q_w)*X^E)/Q_w
This formula uses 7 Variables

Variables Used

Concentration of solids - (Measured in Milligram per Liter) - Concentration of solids in the returned sludge or in the wasted sludge.
Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
MLSS - (Measured in Milligram per Liter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Sludge Age - (Measured in Day) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of wasted sludge per day is measured in terms of discharge.
Concentration of solids in the effluent - (Measured in Milligram per Liter) - Concentration of solids in the effluent is in the terms of density.

STEP 1: Convert Input(s) to Base Unit

Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1200 Milligram per Liter No Conversion Required
Sludge Age: 5 Day --> 5 Day No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
Concentration of solids in the effluent: 3 Milligram per Liter --> 3 Milligram per Liter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X^R = (((V*X)/θ_c)-(Q_s-Q_w)*X^E)/Q_w --> (((9*1200)/5)-(10-9.5)*3)/9.5

Evaluating ... ...

X^R = 227.210526315789

STEP 3: Convert Result to Output's Unit

0.227210526315789 Kilogram per Cubic Meter -->227.210526315789 Milligram per Liter (Check conversion here)

FINAL ANSWER

227.210526315789 ≈ 227.2105 Milligram per Liter <-- Concentration of solids

(Calculation completed in 00.018 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Concentration of Solids Calculators

Concentration of Solids in Effluent given Sludge Age

Go Concentration of solids in the effluent = (((Volume of Tank*MLSS)/Sludge Age)-(Volume of Wasted Sludge per day*Concentration of solids))/(Sewage Discharge-Volume of Wasted Sludge per day)

Concentration of Solids in Returned Sludge given Sludge Age

Go Concentration of solids = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)/Volume of Wasted Sludge per day

Concentration of Solids in Returned Sludge given MLSS

Go Concentration of solids = (MLSS*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age)

Concentration of Solids in Effluent given Mass of Solids Removed

Go Concentration of solids in the effluent = Mass of Solids/(Sewage Discharge-Volume of Wasted Sludge per day)

Concentration of Solids in Returned Sludge

Go Concentration of solids = Mass of Solids/Volume of Wasted Sludge per day

Concentration of Solids in Returned Sludge given Sludge Age Formula

What is sludge ?

Sludge is a semi-solid slurry that can be produced from a range of industrial processes, from water treatment, wastewater treatment or on-site sanitation systems.

How to Calculate Concentration of Solids in Returned Sludge given Sludge Age?

Concentration of Solids in Returned Sludge given Sludge Age calculator uses Concentration of solids = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)/Volume of Wasted Sludge per day to calculate the Concentration of solids, Concentration of Solids in Returned Sludge given Sludge Age calculates concentration of solids in returned sludge when we have prior information of other parameters used. Concentration of solids is denoted by X^R symbol.

How to calculate Concentration of Solids in Returned Sludge given Sludge Age using this online calculator? To use this online calculator for Concentration of Solids in Returned Sludge given Sludge Age, enter Volume of Tank (V), MLSS (X), Sludge Age (θ_c), Sewage Discharge (Q_s), Volume of Wasted Sludge per day (Q_w) & Concentration of solids in the effluent (X^E) and hit the calculate button. Here is how the Concentration of Solids in Returned Sludge given Sludge Age calculation can be explained with given input values -> 227210.5 = (((9*1.2)/432000)-(10-9.5)*0.003)/9.5.

FAQ

What is Concentration of Solids in Returned Sludge given Sludge Age?

Concentration of Solids in Returned Sludge given Sludge Age calculates concentration of solids in returned sludge when we have prior information of other parameters used and is represented as X^R = (((V*X)/θ_c)-(Q_s-Q_w)*X^E)/Q_w or Concentration of solids = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)/Volume of Wasted Sludge per day. Volume of tank is defined as the capacity of flocculation and mixing tank, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Sludge Age is the average time for which the particle of suspended solids remains in aeration, Sewage discharge is the flow rate of sewage when it is being discharged in the river, Volume of wasted sludge per day is measured in terms of discharge & Concentration of solids in the effluent is in the terms of density.

How to calculate Concentration of Solids in Returned Sludge given Sludge Age?

Concentration of Solids in Returned Sludge given Sludge Age calculates concentration of solids in returned sludge when we have prior information of other parameters used is calculated using Concentration of solids = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)/Volume of Wasted Sludge per day. To calculate Concentration of Solids in Returned Sludge given Sludge Age, you need Volume of Tank (V), MLSS (X), Sludge Age (θ_c), Sewage Discharge (Q_s), Volume of Wasted Sludge per day (Q_w) & Concentration of solids in the effluent (X^E). With our tool, you need to enter the respective value for Volume of Tank, MLSS, Sludge Age, Sewage Discharge, Volume of Wasted Sludge per day & Concentration of solids in the effluent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Concentration of solids?

In this formula, Concentration of solids uses Volume of Tank, MLSS, Sludge Age, Sewage Discharge, Volume of Wasted Sludge per day & Concentration of solids in the effluent. We can use 2 other way(s) to calculate the same, which is/are as follows -

Concentration of solids = Mass of Solids/Volume of Wasted Sludge per day
Concentration of solids = (MLSS*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age)

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