Solids Retention Time given 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 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]			+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 given Volume of Aerobic Digester [θ]

⎘ Copy

👎

Formula

✖

Solids Retention Time given Volume of Aerobic Digester

Formula

θ = (\frac{Q i \cdot X i}{V ad \cdot X} - (K d \cdot P v))

Example

2.066882 d = (\frac{5.0 m³/s \cdot 5000.2 mg/L}{10 m³ \cdot 0.014 mg/L} - (0.05 d⁻¹ \cdot 0.5))

Calculator

LaTeX

Reset

👍

Download Design of an Aerobic Digester Formulas PDF PDF Image

Solids Retention Time given Volume of Aerobic Digester Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

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)
Volume of Aerobic Digester: 10 Cubic Meter --> 10 Cubic Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = ((Q_i*X_i)/(V_ad*X)-(K_d*P_v)) --> ((5*5.0002)/(10*1.4E-05)-(5.78703703703704E-07*0.5))

Evaluating ... ...

θ = 178578.571428282

STEP 3: Convert Result to Output's Unit

178578.571428282 Second -->2.06688161375327 Day (Check conversion here)

FINAL ANSWER

2.06688161375327 ≈ 2.066882 Day <-- Solids Retention Time

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of an Aerobic Digester » Solids Retention Time given Volume of Aerobic Digester

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!

< Design of an Aerobic Digester Calculators

Specific Gravity of Digested Sludge given Volume of Digested Sludge

Go Specific Gravity of Sludge = (Weight of Sludge)/(Water Density*Sludge Volume*Percent Solids)

Density of Water given Volume of Digested Sludge

Go Water Density = (Weight of Sludge)/(Sludge Volume*Specific Gravity of Sludge*Percent Solids)

Volume of Digested Sludge

Go Sludge Volume = (Weight of Sludge)/(Water Density*Specific Gravity of Sludge*Percent Solids)

Weight of Sludge given Volume of Digested Sludge

Go Weight of Sludge = (Water Density*Sludge Volume*Specific Gravity of Sludge*Percent Solids)

Solids Retention Time given Volume of Aerobic Digester Formula

What is Retention Time?

Retention time (RT) is a measure of the time taken for a solute to pass through a chromatography column. It is calculated as the time from injection to detection. The RT for a compound is not fixed as many factors can influence it even if the same GC and column are used. These include: The gas flow rate.

How to Calculate Solids Retention Time given Volume of Aerobic Digester?

Solids Retention Time given Volume of Aerobic Digester calculator uses Solids Retention Time = ((Influent Average Flow Rate*Influent Suspended Solids)/(Volume of Aerobic Digester*Digester Total Suspended Solids)-(Reaction Rate Constant*Volatile Fraction)) to calculate the Solids Retention Time, The Solids Retention Time given Volume of Aerobic Digester formula is defined as the average amount of time that solid particles remain in a treatment system, such as a wastewater treatment plant or a bioreactor, when we have prior information of other parameters used. Solids Retention Time is denoted by θ symbol.

How to calculate Solids Retention Time given Volume of Aerobic Digester using this online calculator? To use this online calculator for Solids Retention Time given Volume of Aerobic Digester, enter Influent Average Flow Rate (Q_i), Influent Suspended Solids (X_i), Volume of Aerobic Digester (V_ad), Digester Total Suspended Solids (X), Reaction Rate Constant (K_d) & Volatile Fraction (P_v) and hit the calculate button. Here is how the Solids Retention Time given Volume of Aerobic Digester calculation can be explained with given input values -> 6.6E-8 = ((5*5.0002)/(10*1.4E-05)-(5.78703703703704E-07*0.5)).

FAQ

What is Solids Retention Time given Volume of Aerobic Digester?

The Solids Retention Time given Volume of Aerobic Digester formula is defined as the average amount of time that solid particles remain in a treatment system, such as a wastewater treatment plant or a bioreactor, when we have prior information of other parameters used and is represented as θ = ((Q_i*X_i)/(V_ad*X)-(K_d*P_v)) or Solids Retention Time = ((Influent Average Flow Rate*Influent Suspended Solids)/(Volume of Aerobic Digester*Digester Total Suspended Solids)-(Reaction Rate Constant*Volatile Fraction)). 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 Volume of Aerobic Digester refers to the capacity or size of the digester vessel or tank where the aerobic digestion process takes place, 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.

How to calculate Solids Retention Time given Volume of Aerobic Digester?

The Solids Retention Time given Volume of Aerobic Digester formula is defined as the average amount of time that solid particles remain in a treatment system, such as a wastewater treatment plant or a bioreactor, when we have prior information of other parameters used is calculated using Solids Retention Time = ((Influent Average Flow Rate*Influent Suspended Solids)/(Volume of Aerobic Digester*Digester Total Suspended Solids)-(Reaction Rate Constant*Volatile Fraction)). To calculate Solids Retention Time given Volume of Aerobic Digester, you need Influent Average Flow Rate (Q_i), Influent Suspended Solids (X_i), Volume of Aerobic Digester (V_ad), Digester Total Suspended Solids (X), Reaction Rate Constant (K_d) & Volatile Fraction (P_v). With our tool, you need to enter the respective value for Influent Average Flow Rate, Influent Suspended Solids, Volume of Aerobic Digester, Digester Total Suspended Solids, Reaction Rate Constant & Volatile Fraction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search