Hydraulic Retention Time given Food to Microorganism Ratio Calculator

✖F:M Ratio is the food to microorganism ratio.ⓘ F:M Ratio [FM]			+10% -10%
✖Influent Substrate Concentration is the concentration of BOD that is present in the influent.ⓘ Influent Substrate Concentration [S_o]			+10% -10%
✖MLVSS is the concentration of microorganisms in the reactor.ⓘ MLVSS [X_a]			+10% -10%

✖Hydraulic Retention Time defined as the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor.ⓘ Hydraulic Retention Time given Food to Microorganism Ratio [θ]

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Hydraulic Retention Time given Food to Microorganism Ratio

Formula

`"θ" = "FM"/("S"_{"o"}*"X"_{"a"})`

Example

`"14.24501s"="0.40d⁻¹"/("50mg/L"*"0.0065mg/L")`

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Hydraulic Retention Time given Food to Microorganism Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Retention Time = F:M Ratio/(Influent Substrate Concentration*MLVSS)
θ = FM/(S_o*X_a)
This formula uses 4 Variables

Variables Used

Hydraulic Retention Time - (Measured in Second) - Hydraulic Retention Time defined as the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor.
F:M Ratio - (Measured in 1 Per Second) - F:M Ratio is the food to microorganism ratio.
Influent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
MLVSS - (Measured in Kilogram per Cubic Meter) - MLVSS is the concentration of microorganisms in the reactor.

STEP 1: Convert Input(s) to Base Unit

F:M Ratio: 0.4 1 Per Day --> 4.62962962962963E-06 1 Per Second (Check conversion here)
Influent Substrate Concentration: 50 Milligram per Liter --> 0.05 Kilogram per Cubic Meter (Check conversion here)
MLVSS: 0.0065 Milligram per Liter --> 6.5E-06 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = FM/(S_o*X_a) --> 4.62962962962963E-06/(0.05*6.5E-06)

Evaluating ... ...

θ = 14.2450142450142

STEP 3: Convert Result to Output's Unit

14.2450142450142 Second --> No Conversion Required

FINAL ANSWER

14.2450142450142 ≈ 14.24501 Second <-- Hydraulic Retention Time

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Hydraulic Retention Time Calculators

Hydraulic Retention Time given Food to Microorganism Ratio

Go Hydraulic Retention Time = F:M Ratio/(Influent Substrate Concentration*MLVSS)

Hydraulic Retention Time given Volume of Rapid Mix Basin

Go Hydraulic Retention Time = Volume of Rapid mix Basin/Waste water flow

Hydraulic Retention Time given Volume Required for Anaerobic Digester

Go Hydraulic Retention Time = (Volume/Influent Sludge Flow Rate)

Hydraulic Retention Time given Food to Microorganism Ratio Formula

Hydraulic Retention Time = F:M Ratio/(Influent Substrate Concentration*MLVSS)
θ = FM/(S_o*X_a)

What is Food to Microorganism (F:M) ratio?

The F:M ratio is simply a ratio of the “food” or BOD5 of the incoming waste, to the
the concentration of “microorganisms” in the aeration tank or MLVSS.

How to Calculate Hydraulic Retention Time given Food to Microorganism Ratio?

Hydraulic Retention Time given Food to Microorganism Ratio calculator uses Hydraulic Retention Time = F:M Ratio/(Influent Substrate Concentration*MLVSS) to calculate the Hydraulic Retention Time, The Hydraulic Retention Time given Food to Microorganism Ratio is defined as the a measure of the average length of time that a soluble compound remains in a constructed bioreactor. Hydraulic Retention Time is denoted by θ symbol.

How to calculate Hydraulic Retention Time given Food to Microorganism Ratio using this online calculator? To use this online calculator for Hydraulic Retention Time given Food to Microorganism Ratio, enter F:M Ratio (FM), Influent Substrate Concentration (S_o) & MLVSS (X_a) and hit the calculate button. Here is how the Hydraulic Retention Time given Food to Microorganism Ratio calculation can be explained with given input values -> 22.25783 = 4.62962962962963E-06/(0.05*6.5E-06).

FAQ

What is Hydraulic Retention Time given Food to Microorganism Ratio?

The Hydraulic Retention Time given Food to Microorganism Ratio is defined as the a measure of the average length of time that a soluble compound remains in a constructed bioreactor and is represented as θ = FM/(S_o*X_a) or Hydraulic Retention Time = F:M Ratio/(Influent Substrate Concentration*MLVSS). F:M Ratio is the food to microorganism ratio, Influent Substrate Concentration is the concentration of BOD that is present in the influent & MLVSS is the concentration of microorganisms in the reactor.

How to calculate Hydraulic Retention Time given Food to Microorganism Ratio?

The Hydraulic Retention Time given Food to Microorganism Ratio is defined as the a measure of the average length of time that a soluble compound remains in a constructed bioreactor is calculated using Hydraulic Retention Time = F:M Ratio/(Influent Substrate Concentration*MLVSS). To calculate Hydraulic Retention Time given Food to Microorganism Ratio, you need F:M Ratio (FM), Influent Substrate Concentration (S_o) & MLVSS (X_a). With our tool, you need to enter the respective value for F:M Ratio, Influent Substrate Concentration & MLVSS 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 Hydraulic Retention Time?

In this formula, Hydraulic Retention Time uses F:M Ratio, Influent Substrate Concentration & MLVSS. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Retention Time = (Volume/Influent Sludge Flow Rate)
Hydraulic Retention Time = Volume of Rapid mix Basin/Waste water flow

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