Volume of Digester when Digestion is Parabolic Calculator

✖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 Time in Days is the duration required for the complete breakdown of organic matter during the biological treatment of sludge in an anaerobic digester.ⓘ Digestion Time in Days [T]			+10% -10%

✖Volume of Digester is defined as the total capacity of the digester.ⓘ Volume of Digester when Digestion is Parabolic [V]

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Formula

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Volume of Digester when Digestion is Parabolic

Formula

V = (V 1 - (\frac{2 \cdot (V 1 - V 2)}{3})) \cdot T

Example

19.93333 m³ = (2 m³/d - (\frac{2 \cdot (2 m³/d - 1.99 m³/d)}{3})) \cdot 10 d

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Volume of Digester when Digestion is Parabolic Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Digester = (Raw Sludge-((2*(Raw Sludge-Equivalent Digested Sludge))/3))*Digestion Time in Days
V = (V₁-((2*(V₁-V₂))/3))*T
This formula uses 4 Variables

Variables Used

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 Time in Days - (Measured in Second) - Digestion Time in Days is the duration required for the complete breakdown of organic matter during the biological treatment of sludge in an anaerobic digester.

STEP 1: Convert Input(s) to Base Unit

Raw Sludge: 2 Cubic Meter per Day --> 2.31481481481481E-05 Cubic Meter per Second (Check conversion here)
Equivalent Digested Sludge: 1.99 Cubic Meter per Day --> 2.30324074074074E-05 Cubic Meter per Second (Check conversion here)
Digestion Time in Days: 10 Day --> 864000 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (V₁-((2*(V₁-V₂))/3))*T --> (2.31481481481481E-05-((2*(2.31481481481481E-05-2.30324074074074E-05))/3))*864000

Evaluating ... ...

V = 19.9333333333333

STEP 3: Convert Result to Output's Unit

19.9333333333333 Cubic Meter --> No Conversion Required

FINAL ANSWER

19.9333333333333 ≈ 19.93333 Cubic Meter <-- Volume of Digester

(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 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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

< 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*Digestion Time in Days)

Number of Days for which Digested Sludge is Stored

Go Digestion 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)+Digestion Time in Days)

Volume of Digester

Go Volume of Digester = ((Raw Sludge+Equivalent Digested Sludge)/2)*Digestion Time in Days

Volume of Digester when Digestion is Parabolic Formula

Volume of Digester = (Raw Sludge-((2*(Raw Sludge-Equivalent Digested Sludge))/3))*Digestion Time in Days
V = (V₁-((2*(V₁-V₂))/3))*T

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 Volume of Digester when Digestion is Parabolic?

Volume of Digester when Digestion is Parabolic calculator uses Volume of Digester = (Raw Sludge-((2*(Raw Sludge-Equivalent Digested Sludge))/3))*Digestion Time in Days to calculate the Volume of Digester, The Volume of Digester when Digestion is Parabolic formula is defined as the calculation of volume of digester when we have parabolic digestion. Volume of Digester is denoted by V symbol.

How to calculate Volume of Digester when Digestion is Parabolic using this online calculator? To use this online calculator for Volume of Digester when Digestion is Parabolic, enter Raw Sludge (V₁), Equivalent Digested Sludge (V₂) & Digestion Time in Days (T) and hit the calculate button. Here is how the Volume of Digester when Digestion is Parabolic calculation can be explained with given input values -> 19.93333 = (2.31481481481481E-05-((2*(2.31481481481481E-05-2.30324074074074E-05))/3))*864000.

FAQ

What is Volume of Digester when Digestion is Parabolic?

The Volume of Digester when Digestion is Parabolic formula is defined as the calculation of volume of digester when we have parabolic digestion and is represented as V = (V₁-((2*(V₁-V₂))/3))*T or Volume of Digester = (Raw Sludge-((2*(Raw Sludge-Equivalent Digested Sludge))/3))*Digestion Time in Days. 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 Time in Days is the duration required for the complete breakdown of organic matter during the biological treatment of sludge in an anaerobic digester.

How to calculate Volume of Digester when Digestion is Parabolic?

The Volume of Digester when Digestion is Parabolic formula is defined as the calculation of volume of digester when we have parabolic digestion is calculated using Volume of Digester = (Raw Sludge-((2*(Raw Sludge-Equivalent Digested Sludge))/3))*Digestion Time in Days. To calculate Volume of Digester when Digestion is Parabolic, you need Raw Sludge (V₁), Equivalent Digested Sludge (V₂) & Digestion Time in Days (T). With our tool, you need to enter the respective value for Raw Sludge, Equivalent Digested Sludge & Digestion 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 Volume of Digester?

In this formula, Volume of Digester uses Raw Sludge, Equivalent Digested Sludge & Digestion Time in Days. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Digester = ((Raw Sludge+Equivalent Digested Sludge)/2)*Digestion Time in Days
Volume of Digester = (((Raw Sludge+Equivalent Digested Sludge)/2)*Digestion Period)+(Equivalent Digested Sludge*Digestion Time in Days)

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