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%

✖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.ⓘ 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 = \frac{V - ((\frac{V 1 + V 2}{2}) \cdot t)}{V 2}

Example

10.05019 d = \frac{20 m³ - ((\frac{2 m³/d + 1.99 m³/d}{2}) \cdot 5 s)}{1.99 m³/d}

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Number of Days for which Digested Sludge is Stored Solution

STEP 0: Pre-Calculation Summary

Formula Used

Digestion 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

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.
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: 1.99 Cubic Meter per Day --> 2.30324074074074E-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+2.30324074074074E-05)/2)*5))/2.30324074074074E-05

Evaluating ... ...

T = 868336.6959799

STEP 3: Convert Result to Output's Unit

868336.6959799 Second -->10.0501932405081 Day (Check conversion here)

FINAL ANSWER

10.0501932405081 ≈ 10.05019 Day <-- Digestion Time in Days

(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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< 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

Number of Days for which Digested Sludge is Stored Formula

Digestion 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 Digestion Time in Days = (Volume of Digester-(((Raw Sludge+Equivalent Digested Sludge)/2)*Digestion Period))/Equivalent Digested Sludge to calculate the Digestion Time in Days, The Number of Days for which Digested Sludge is Stored formula is defined as the calculation of number of days when we have prior information of other parameters used. Digestion 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+equivalent_digested_sludge_per_day)/2)*5))/equivalent_digested_sludge_per_day.

FAQ

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

The Number of Days for which Digested Sludge is Stored formula is defined as the calculation of number of days when we have prior information of other parameters used and is represented as T = (V-(((V₁+V₂)/2)*t))/V₂ or Digestion 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 formula is defined as the calculation of number of days when we have prior information of other parameters used is calculated using Digestion 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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