Volumetric Flowrate Applied Per Unit of Filter Area Calculator

✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖Treatability Constant at 30°C and 25 ft filter depth.ⓘ Treatability Constant [K_30/25]			+10% -10%
✖The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.ⓘ Empirical Constant [A₀]			+10% -10%

✖Volumetric flow per unit area of filter unit.ⓘ Volumetric Flowrate Applied Per Unit of Filter Area [Q_v]

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Formula

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Volumetric Flowrate Applied Per Unit of Filter Area

Formula

`"Q"_{"v"} = (ln("Q"_{"o"}/"Q"_{"i"})/(-1*"D"*"K"_{"30/25"}))^(-1/"A"_{"0"})`

Example

`"1.009985m/s"=(ln("0.4mg/L"/"11.2mg/L")/(-1*"3m"*"3"))^(-1/"100")`

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Volumetric Flowrate Applied Per Unit of Filter Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric flow per unit area = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Treatability Constant))^(-1/Empirical Constant)
Q_v = (ln(Q_o/Q_i)/(-1*D*K_30/25))^(-1/A₀)
This formula uses 1 Functions, 6 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Volumetric flow per unit area - (Measured in Meter per Second) - Volumetric flow per unit area of filter unit.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Treatability Constant - Treatability Constant at 30°C and 25 ft filter depth.
Empirical Constant - The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.

STEP 1: Convert Input(s) to Base Unit

Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion here)
Depth: 3 Meter --> 3 Meter No Conversion Required
Treatability Constant: 3 --> No Conversion Required
Empirical Constant: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_v = (ln(Q_o/Q_i)/(-1*D*K_30/25))^(-1/A₀) --> (ln(0.0004/0.0112)/(-1*3*3))^(-1/100)

Evaluating ... ...

Q_v = 1.00998542976424

STEP 3: Convert Result to Output's Unit

1.00998542976424 Meter per Second --> No Conversion Required

FINAL ANSWER

1.00998542976424 ≈ 1.009985 Meter per Second <-- Volumetric flow per unit area

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 4 Volumetric Flow Rate Calculators

Volumetric Flow Rate when we have Area of Trickling Filter

Go Volumetric Flow Rate = (Area of filter/(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant))

Volumetric Flowrate Applied Per Unit of Filter Area

Go Volumetric flow per unit area = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Treatability Constant))^(-1/Empirical Constant)

Volumetric Flowrate applied Per Unit of Filter Area given Discharge and Area

Go Volumetric flow per unit area = (Volumetric Flow Rate/Area of filter)

Flowrate applied to Filter without Recirculation

Go Volumetric Flow Rate = Volumetric flow per unit area*Area of filter

Volumetric Flowrate Applied Per Unit of Filter Area Formula

Volumetric flow per unit area = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Treatability Constant))^(-1/Empirical Constant)
Q_v = (ln(Q_o/Q_i)/(-1*D*K_30/25))^(-1/A₀)

What is volumetric flow rate ?

Volumetric flow rate is defined as the volume of water that passes through a given surface per unit time.The flow rate helps you know which system, whether it's a carbon filter, UV system, or water softener, is right for your home appliances.

How to Calculate Volumetric Flowrate Applied Per Unit of Filter Area?

Volumetric Flowrate Applied Per Unit of Filter Area calculator uses Volumetric flow per unit area = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Treatability Constant))^(-1/Empirical Constant) to calculate the Volumetric flow per unit area, The Volumetric Flowrate Applied Per Unit of Filter Area is defined as the volume of fluid which passes per unit time; usually it is represented by the symbol Q. Volumetric flow per unit area is denoted by Q_v symbol.

How to calculate Volumetric Flowrate Applied Per Unit of Filter Area using this online calculator? To use this online calculator for Volumetric Flowrate Applied Per Unit of Filter Area, enter Effluent BOD (Q_o), Influent BOD (Q_i), Depth (D), Treatability Constant (K_30/25) & Empirical Constant (A₀) and hit the calculate button. Here is how the Volumetric Flowrate Applied Per Unit of Filter Area calculation can be explained with given input values -> 1.009985 = (ln(0.0004/0.0112)/(-1*3*3))^(-1/100).

FAQ

What is Volumetric Flowrate Applied Per Unit of Filter Area?

The Volumetric Flowrate Applied Per Unit of Filter Area is defined as the volume of fluid which passes per unit time; usually it is represented by the symbol Q and is represented as Q_v = (ln(Q_o/Q_i)/(-1*D*K_30/25))^(-1/A₀) or Volumetric flow per unit area = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Treatability Constant))^(-1/Empirical Constant). Effluent BOD is the amount of BOD present in the outing sewage, Influent BOD is the total amount of BOD which is present in the incoming sewage, Depth is the distance from the top or surface to the bottom of something, Treatability Constant at 30°C and 25 ft filter depth & The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.

How to calculate Volumetric Flowrate Applied Per Unit of Filter Area?

The Volumetric Flowrate Applied Per Unit of Filter Area is defined as the volume of fluid which passes per unit time; usually it is represented by the symbol Q is calculated using Volumetric flow per unit area = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Treatability Constant))^(-1/Empirical Constant). To calculate Volumetric Flowrate Applied Per Unit of Filter Area, you need Effluent BOD (Q_o), Influent BOD (Q_i), Depth (D), Treatability Constant (K_30/25) & Empirical Constant (A₀). With our tool, you need to enter the respective value for Effluent BOD, Influent BOD, Depth, Treatability Constant & Empirical Constant 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 Volumetric flow per unit area?

In this formula, Volumetric flow per unit area uses Effluent BOD, Influent BOD, Depth, Treatability Constant & Empirical Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volumetric flow per unit area = (Volumetric Flow Rate/Area of filter)

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