Number of Days for which Digested Sludge is Stored 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%
✖Equivalent digested sludge is the volume of sludge produced per day.ⓘ Equivalent digested sludge [V₂]			+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.ⓘ Number of Days for which Digested Sludge is Stored [T]

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Formula

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Number of Days for which Digested Sludge is Stored

Formula

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

Example

`"6.666618d"=("20m³"-((("2m³/d"+"3m³/d")/2)*"5s"))/"3m³/d"`

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Number of Days for which Digested Sludge is Stored Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Time in Days - (Measured in Second) - Time in days is the time calculated in days.
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 .
Equivalent digested sludge - (Measured in Cubic Meter per Second) - Equivalent digested sludge is the volume of sludge produced per day.
Digestion period - (Measured in Second) - Digestion period is the time required to complete the digestion.

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)
Equivalent digested sludge: 3 Cubic Meter per Day --> 3.47222222222222E-05 Cubic Meter per Second (Check conversion here)
Digestion period: 5 Second --> 5 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (V-(((V₁+V₂)/2)*t))/V₂ --> (20-(((2.31481481481481E-05+3.47222222222222E-05)/2)*5))/3.47222222222222E-05

Evaluating ... ...

T = 575995.833333334

STEP 3: Convert Result to Output's Unit

575995.833333334 Second -->6.66661844135803 Day (Check conversion here)

FINAL ANSWER

6.66661844135803 ≈ 6.666618 Day <-- Time in Days

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

Number of Days for which Digested Sludge is Stored Formula

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

What is digester ?

A digester is a huge vessel where chemical or biological reactions are carried out. These are used in different types of process industries.

How to Calculate Number of Days for which Digested Sludge is Stored?

Number of Days for which Digested Sludge is Stored calculator uses Time in Days = (Volume of digester-(((Raw sludge+Equivalent digested sludge)/2)*Digestion period))/Equivalent digested sludge to calculate the Time in Days, The Number of Days for which Digested Sludge is Stored calculates number of days when we have prior information of other parameters used. Time in Days is denoted by T symbol.

How to calculate Number of Days for which Digested Sludge is Stored using this online calculator? To use this online calculator for Number of Days for which Digested Sludge is Stored, enter Volume of digester (V), Raw sludge (V₁), Equivalent digested sludge (V₂) & Digestion period (t) and hit the calculate button. Here is how the Number of Days for which Digested Sludge is Stored calculation can be explained with given input values -> 7.7E-5 = (20-(((2.31481481481481E-05+3.47222222222222E-05)/2)*5))/3.47222222222222E-05.

FAQ

What is Number of Days for which Digested Sludge is Stored?

The Number of Days for which Digested Sludge is Stored calculates number of days when we have prior information of other parameters used and is represented as T = (V-(((V₁+V₂)/2)*t))/V₂ or Time in Days = (Volume of digester-(((Raw sludge+Equivalent digested sludge)/2)*Digestion period))/Equivalent digested sludge. 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 , Equivalent digested sludge is the volume of sludge produced per day & Digestion period is the time required to complete the digestion.

How to calculate Number of Days for which Digested Sludge is Stored?

The Number of Days for which Digested Sludge is Stored calculates number of days when we have prior information of other parameters used is calculated using Time in Days = (Volume of digester-(((Raw sludge+Equivalent digested sludge)/2)*Digestion period))/Equivalent digested sludge. To calculate Number of Days for which Digested Sludge is Stored, you need Volume of digester (V), Raw sludge (V₁), Equivalent digested sludge (V₂) & Digestion period (t). With our tool, you need to enter the respective value for Volume of digester, Raw sludge, Equivalent digested sludge & Digestion period 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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