Volume of Aerobic Digester Calculator

✖The Influent Average Flow Rate refers to the average rate at which water or wastewater flows into a treatment system or facility over a specific period of time.ⓘ Influent Average Flow Rate [Q_i]			+10% -10%
✖The Influent Suspended Solids refer to the solid particles present in wastewater or any liquid entering a treatment process.ⓘ Influent Suspended Solids [X_i]			+10% -10%
✖The Digester Total Suspended Solids refers to the amount of solid particles suspended in the liquid phase of a digester system.ⓘ Digester Total Suspended Solids [X]			+10% -10%
✖The Reaction Rate Constant refers to a parameter used to quantify the rate at which a chemical reaction proceeds.ⓘ Reaction Rate Constant [K_d]			+10% -10%
✖The Volatile Fraction refers to the portion of a substance that can vaporize or volatilize under specific conditions, often related to air or water quality assessments.ⓘ Volatile Fraction [P_v]			+10% -10%
✖The Solids Retention Time refers to the average amount of time that solid particles remain in a treatment system, such as a wastewater treatment plant or a bioreactor.ⓘ Solids Retention Time [θ]			+10% -10%

✖The Volume of Aerobic Digester refers to the capacity or size of the digester vessel or tank where the aerobic digestion process takes place.ⓘ Volume of Aerobic Digester [V_ad]

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Volume of Aerobic Digester Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Aerobic Digester = (Influent Average Flow Rate*Influent Suspended Solids)/(Digester Total Suspended Solids*((Reaction Rate Constant*Volatile Fraction)+Solids Retention Time))
V_ad = (Q_i*X_i)/(X*((K_d*P_v)+θ))
This formula uses 7 Variables

Variables Used

Volume of Aerobic Digester - (Measured in Cubic Meter) - The Volume of Aerobic Digester refers to the capacity or size of the digester vessel or tank where the aerobic digestion process takes place.
Influent Average Flow Rate - (Measured in Cubic Meter per Second) - The Influent Average Flow Rate refers to the average rate at which water or wastewater flows into a treatment system or facility over a specific period of time.
Influent Suspended Solids - (Measured in Kilogram per Cubic Meter) - The Influent Suspended Solids refer to the solid particles present in wastewater or any liquid entering a treatment process.
Digester Total Suspended Solids - (Measured in Kilogram per Cubic Meter) - The Digester Total Suspended Solids refers to the amount of solid particles suspended in the liquid phase of a digester system.
Reaction Rate Constant - (Measured in 1 Per Second) - The Reaction Rate Constant refers to a parameter used to quantify the rate at which a chemical reaction proceeds.
Volatile Fraction - The Volatile Fraction refers to the portion of a substance that can vaporize or volatilize under specific conditions, often related to air or water quality assessments.
Solids Retention Time - (Measured in Second) - The Solids Retention Time refers to the average amount of time that solid particles remain in a treatment system, such as a wastewater treatment plant or a bioreactor.

STEP 1: Convert Input(s) to Base Unit

Influent Average Flow Rate: 5 Cubic Meter per Second --> 5 Cubic Meter per Second No Conversion Required
Influent Suspended Solids: 5000.2 Milligram per Liter --> 5.0002 Kilogram per Cubic Meter (Check conversion here)
Digester Total Suspended Solids: 0.014 Milligram per Liter --> 1.4E-05 Kilogram per Cubic Meter (Check conversion here)
Reaction Rate Constant: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Volatile Fraction: 0.5 --> No Conversion Required
Solids Retention Time: 2 Day --> 172800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ad = (Q_i*X_i)/(X*((K_d*P_v)+θ)) --> (5*5.0002)/(1.4E-05*((5.78703703703704E-07*0.5)+172800))

Evaluating ... ...

V_ad = 10.3344080687658

STEP 3: Convert Result to Output's Unit

10.3344080687658 Cubic Meter --> No Conversion Required

FINAL ANSWER

10.3344080687658 ≈ 10.33441 Cubic Meter <-- Volume of Aerobic Digester

(Calculation completed in 00.020 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

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< Design of an Aerobic Digester Calculators

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Volume of Aerobic Digester Formula

LaTeX Go

What is Aerobic Digestion?

Aerobic digestion is a process in sewage treatment designed to reduce the volume of sewage sludge and make it suitable for subsequent use. More recently, technology has been developed that allows the treatment and reduction of other organic waste, such as food, cardboard and horticultural waste.

How to Calculate Volume of Aerobic Digester?

Volume of Aerobic Digester calculator uses Volume of Aerobic Digester = (Influent Average Flow Rate*Influent Suspended Solids)/(Digester Total Suspended Solids*((Reaction Rate Constant*Volatile Fraction)+Solids Retention Time)) to calculate the Volume of Aerobic Digester, The Volume of Aerobic Digester formula is defined as the capacity or size of the digester vessel or tank where the aerobic digestion process takes place, when we have prior information of other parameters related with aerobic digester. Volume of Aerobic Digester is denoted by V_ad symbol.

How to calculate Volume of Aerobic Digester using this online calculator? To use this online calculator for Volume of Aerobic Digester, enter Influent Average Flow Rate (Q_i), Influent Suspended Solids (X_i), Digester Total Suspended Solids (X), Reaction Rate Constant (K_d), Volatile Fraction (P_v) & Solids Retention Time (θ) and hit the calculate button. Here is how the Volume of Aerobic Digester calculation can be explained with given input values -> 0.028369 = (5*5.0002)/(1.4E-05*((5.78703703703704E-07*0.5)+172800)).

FAQ

What is Volume of Aerobic Digester?

The Volume of Aerobic Digester formula is defined as the capacity or size of the digester vessel or tank where the aerobic digestion process takes place, when we have prior information of other parameters related with aerobic digester and is represented as V_ad = (Q_i*X_i)/(X*((K_d*P_v)+θ)) or Volume of Aerobic Digester = (Influent Average Flow Rate*Influent Suspended Solids)/(Digester Total Suspended Solids*((Reaction Rate Constant*Volatile Fraction)+Solids Retention Time)). The Influent Average Flow Rate refers to the average rate at which water or wastewater flows into a treatment system or facility over a specific period of time, The Influent Suspended Solids refer to the solid particles present in wastewater or any liquid entering a treatment process, The Digester Total Suspended Solids refers to the amount of solid particles suspended in the liquid phase of a digester system, The Reaction Rate Constant refers to a parameter used to quantify the rate at which a chemical reaction proceeds, The Volatile Fraction refers to the portion of a substance that can vaporize or volatilize under specific conditions, often related to air or water quality assessments & The Solids Retention Time refers to the average amount of time that solid particles remain in a treatment system, such as a wastewater treatment plant or a bioreactor.

How to calculate Volume of Aerobic Digester?

The Volume of Aerobic Digester formula is defined as the capacity or size of the digester vessel or tank where the aerobic digestion process takes place, when we have prior information of other parameters related with aerobic digester is calculated using Volume of Aerobic Digester = (Influent Average Flow Rate*Influent Suspended Solids)/(Digester Total Suspended Solids*((Reaction Rate Constant*Volatile Fraction)+Solids Retention Time)). To calculate Volume of Aerobic Digester, you need Influent Average Flow Rate (Q_i), Influent Suspended Solids (X_i), Digester Total Suspended Solids (X), Reaction Rate Constant (K_d), Volatile Fraction (P_v) & Solids Retention Time (θ). With our tool, you need to enter the respective value for Influent Average Flow Rate, Influent Suspended Solids, Digester Total Suspended Solids, Reaction Rate Constant, Volatile Fraction & Solids Retention Time 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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