Equivalent Digested Sludge Produced Per Day given Digestion Period Calculator

✖Volume of digester is defined as the total capacity of the digester.ⓘ Volume of digester [V]			+10% -10%
✖Raw sludge is defined as the volume of raw sludge added per day .ⓘ Raw sludge [V₁]			+10% -10%
✖Digestion period is the time required to complete the digestion.ⓘ Digestion period [t]			+10% -10%
✖Time in days is the time calculated in days.ⓘ Time in Days [T]			+10% -10%

✖Equivalent digested sludge is the volume of sludge produced per day.ⓘ Equivalent Digested Sludge Produced Per Day given Digestion Period [V₂]

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Formula

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Equivalent Digested Sludge Produced Per Day given Digestion Period

Formula

`"V"_{"2"} = ("V"-(("V"_{"1"}*"t")/2))/((0.5*"t")+"T")`

Example

`"1.999988m³/d"=("20m³"-(("2m³/d"*"5s")/2))/((0.5*"5s")+"10d")`

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Equivalent Digested Sludge Produced Per Day given Digestion Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent digested sludge = (Volume of digester-((Raw sludge*Digestion period)/2))/((0.5*Digestion period)+Time in Days)
V₂ = (V-((V₁*t)/2))/((0.5*t)+T)
This formula uses 5 Variables

Variables Used

Equivalent digested sludge - (Measured in Cubic Meter per Second) - Equivalent digested sludge is the volume of sludge produced per day.
Volume of digester - (Measured in Cubic Meter) - Volume of digester is defined as the total capacity of the digester.
Raw sludge - (Measured in Cubic Meter per Second) - Raw sludge is defined as the volume of raw sludge added per day .
Digestion period - (Measured in Second) - Digestion period is the time required to complete the digestion.
Time in Days - (Measured in Second) - Time in days is the time calculated in days.

STEP 1: Convert Input(s) to Base Unit

Volume of digester: 20 Cubic Meter --> 20 Cubic Meter No Conversion Required
Raw sludge: 2 Cubic Meter per Day --> 2.31481481481481E-05 Cubic Meter per Second (Check conversion here)
Digestion period: 5 Second --> 5 Second No Conversion Required
Time in Days: 10 Day --> 864000 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₂ = (V-((V₁*t)/2))/((0.5*t)+T) --> (20-((2.31481481481481E-05*5)/2))/((0.5*5)+864000)

Evaluating ... ...

V₂ = 2.31480141893451E-05

STEP 3: Convert Result to Output's Unit

2.31480141893451E-05 Cubic Meter per Second -->1.99998842595942 Cubic Meter per Day (Check conversion here)

FINAL ANSWER

1.99998842595942 ≈ 1.999988 Cubic Meter per Day <-- Equivalent digested sludge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Sludge Digestion Tank or Digesters Calculators

Volume of Digester given Number of Days for which Digested Sludge is Stored

Go Volume of digester = (((Raw sludge+Equivalent digested sludge)/2)*Digestion period)+(Equivalent digested sludge*Time in Days)

Number of Days for which Digested Sludge is Stored

Go Time in Days = (Volume of digester-(((Raw sludge+Equivalent digested sludge)/2)*Digestion period))/Equivalent digested sludge

Equivalent Digested Sludge Produced Per Day given Digestion Period

Go Equivalent digested sludge = (Volume of digester-((Raw sludge*Digestion period)/2))/((0.5*Digestion period)+Time in Days)

Volume of Digester when Digestion is Parabolic

Go Volume of digester = (Raw sludge-((2*(Raw sludge-Equivalent digested sludge))/3))*Digestion period

Raw Sludge Added Per Day given Digestion is Parabolic

Go Raw sludge = ((3*Volume of digester)/Digestion period)+(2*Equivalent digested sludge)

Volume of Digester

Go Volume of digester = ((Raw sludge+Equivalent digested sludge)/2)*Digestion period

Equivalent Digested Sludge Produced Per Day given Raw Sludge Added Per Day

Go Equivalent digested sludge = Raw sludge/3

Raw Sludge Added Per Day given Equivalent Digested Sludge Produced Per Day

Go Raw sludge = 3*Equivalent digested sludge

Equivalent Digested Sludge Produced Per Day given Digestion Period Formula

Equivalent digested sludge = (Volume of digester-((Raw sludge*Digestion period)/2))/((0.5*Digestion period)+Time in Days)
V₂ = (V-((V₁*t)/2))/((0.5*t)+T)

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 Equivalent Digested Sludge Produced Per Day given Digestion Period?

Equivalent Digested Sludge Produced Per Day given Digestion Period calculator uses Equivalent digested sludge = (Volume of digester-((Raw sludge*Digestion period)/2))/((0.5*Digestion period)+Time in Days) to calculate the Equivalent digested sludge, Equivalent Digested Sludge Produced Per Day given Digestion Period calculates equivalent digested sludge when we have prior information of other parameters used. Equivalent digested sludge is denoted by V₂ symbol.

How to calculate Equivalent Digested Sludge Produced Per Day given Digestion Period using this online calculator? To use this online calculator for Equivalent Digested Sludge Produced Per Day given Digestion Period, enter Volume of digester (V), Raw sludge (V₁), Digestion period (t) & Time in Days (T) and hit the calculate button. Here is how the Equivalent Digested Sludge Produced Per Day given Digestion Period calculation can be explained with given input values -> 172799 = (20-((2.31481481481481E-05*5)/2))/((0.5*5)+864000).

FAQ

What is Equivalent Digested Sludge Produced Per Day given Digestion Period?

Equivalent Digested Sludge Produced Per Day given Digestion Period calculates equivalent digested sludge when we have prior information of other parameters used and is represented as V₂ = (V-((V₁*t)/2))/((0.5*t)+T) or Equivalent digested sludge = (Volume of digester-((Raw sludge*Digestion period)/2))/((0.5*Digestion period)+Time in Days). Volume of digester is defined as the total capacity of the digester, Raw sludge is defined as the volume of raw sludge added per day , Digestion period is the time required to complete the digestion & Time in days is the time calculated in days.

How to calculate Equivalent Digested Sludge Produced Per Day given Digestion Period?

Equivalent Digested Sludge Produced Per Day given Digestion Period calculates equivalent digested sludge when we have prior information of other parameters used is calculated using Equivalent digested sludge = (Volume of digester-((Raw sludge*Digestion period)/2))/((0.5*Digestion period)+Time in Days). To calculate Equivalent Digested Sludge Produced Per Day given Digestion Period, you need Volume of digester (V), Raw sludge (V₁), Digestion period (t) & Time in Days (T). With our tool, you need to enter the respective value for Volume of digester, Raw sludge, Digestion period & Time in Days 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 Equivalent digested sludge?

In this formula, Equivalent digested sludge uses Volume of digester, Raw sludge, Digestion period & Time in Days. We can use 1 other way(s) to calculate the same, which is/are as follows -

Equivalent digested sludge = Raw sludge/3

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