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Volume of Reactor given Hydraulic Retention Time Formula

GoVolume of Reactor Formula

GoVolume of Reactor given Wasting Rate from Return Line Formula

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Reactor Volume refers to the physical volume of a reactor used in chemical processes. Check FAQs

V = θ \cdot Q a

V - Reactor Volume?θ - Hydraulic Retention Time?Q_a - Average Daily Influent Flow Rate?

Volume of Reactor given Hydraulic Retention Time Example

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Here is how the Volume of Reactor given Hydraulic Retention Time equation looks like with Values.

Here is how the Volume of Reactor given Hydraulic Retention Time equation looks like with Units.

Here is how the Volume of Reactor given Hydraulic Retention Time equation looks like.

0.2 = 4 \cdot 1.2

0.2m³ = 4h \cdot 1.2m³/d

0.2 = 4 \cdot 1.2

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Volume of Reactor given Hydraulic Retention Time Solution

Follow our step by step solution on how to calculate Volume of Reactor given Hydraulic Retention Time?

FIRST Step Consider the formula

V = θ \cdot Q a

Next Step Substitute values of Variables

∴

V = 4h \cdot 1.2m³/d

Next Step Convert Units

∴

V = 14400s \cdot 1.4E-5m³/s

Next Step Prepare to Evaluate

∴

V = 14400 \cdot 1.4E-5

LAST Step Evaluate

∴

V = 0.2m³

Volume of Reactor given Hydraulic Retention Time Formula Elements

Variables

Reactor Volume

Reactor Volume refers to the physical volume of a reactor used in chemical processes.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Reactor Volume

Hydraulic Retention Time

Hydraulic Retention Time refers to the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor.

Symbol: θ

Measurement: TimeUnit: h

Note: Value should be between 3 to 5.

Formulas to find Hydraulic Retention Time

Average Daily Influent Flow Rate

Average Daily Influent Flow Rate is the total discharge that comes in the reactor.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Average Daily Influent Flow Rate

Other Formulas to find Reactor Volume

Go Volume of Reactor

V = \frac{θ c \cdot Y \cdot Q a \cdot (S o - S)}{X a \cdot (1 + (θ c \cdot k d))}

Go Volume of Reactor given Wasting Rate from Return Line

V = θ c \cdot \frac{(Q w' \cdot X r) + (Q e \cdot X e)}{X}

Go Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low

V = θ c \cdot Q w' \cdot \frac{X r}{X}

Go Volume of Reactor given WAS Pumping Rate from Aeration Tank

V = θ c \cdot Q w

How to Evaluate Volume of Reactor given Hydraulic Retention Time?

Volume of Reactor given Hydraulic Retention Time evaluator uses Reactor Volume = Hydraulic Retention Time*Average Daily Influent Flow Rate to evaluate the Reactor Volume, The Volume of Reactor given Hydraulic Retention Time formula is defined as the total capacity of the reactor which can accumulate the influent sludge. Reactor Volume is denoted by V symbol.

How to evaluate Volume of Reactor given Hydraulic Retention Time using this online evaluator? To use this online evaluator for Volume of Reactor given Hydraulic Retention Time, enter Hydraulic Retention Time (θ) & Average Daily Influent Flow Rate (Q_a) and hit the calculate button.

FAQs on Volume of Reactor given Hydraulic Retention Time

What is the formula to find Volume of Reactor given Hydraulic Retention Time?

The formula of Volume of Reactor given Hydraulic Retention Time is expressed as Reactor Volume = Hydraulic Retention Time*Average Daily Influent Flow Rate. Here is an example- 0.2 = 14400*1.38888888888889E-05.

How to calculate Volume of Reactor given Hydraulic Retention Time?

With Hydraulic Retention Time (θ) & Average Daily Influent Flow Rate (Q_a) we can find Volume of Reactor given Hydraulic Retention Time using the formula - Reactor Volume = Hydraulic Retention Time*Average Daily Influent Flow Rate.

What are the other ways to Calculate Reactor Volume?

Here are the different ways to Calculate Reactor Volume-

Reactor Volume=(Mean Cell Residence Time*Maximum Yield Coefficient*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))/(MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient)))
Reactor Volume=Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS
Reactor Volume=Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS

Can the Volume of Reactor given Hydraulic Retention Time be negative?

No, the Volume of Reactor given Hydraulic Retention Time, measured in Volume cannot be negative.

Which unit is used to measure Volume of Reactor given Hydraulic Retention Time?

Volume of Reactor given Hydraulic Retention Time is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Reactor given Hydraulic Retention Time can be measured.

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