Area of Trickling Filter when we have Volumetric Flowrate Calculator

✖Volumetric Flow Rate is the volume of fluid which passes per unit time.ⓘ Volumetric Flow Rate [V]			+10% -10%
✖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%
✖Treatability Constant at 30°C and 25 ft filter depth.ⓘ Treatability Constant [K_30/25]			+10% -10%
✖Depth of actual filter is the virtical dimension of the actuall filter.ⓘ Depth of actual filter [D₂]			+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%

✖Area of filter is considered area of plastic media trickling filter.ⓘ Area of Trickling Filter when we have Volumetric Flowrate [A]

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Formula

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Area of Trickling Filter when we have Volumetric Flowrate

Formula

`"A" = "V"*(-1*ln("Q"_{"o"}/"Q"_{"i"})/("K"_{"30/25"}*"D"_{"2"}))^(1/"A"_{"0"})`

Example

`"4.904762m²"="5m³/s"*(-1*ln("0.4mg/L"/"11.2mg/L")/("3"*"7.6m"))^(1/"100")`

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Area of Trickling Filter when we have Volumetric Flowrate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of filter = Volumetric Flow Rate*(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant)
A = V*(-1*ln(Q_o/Q_i)/(K_30/25*D₂))^(1/A₀)
This formula uses 1 Functions, 7 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

Area of filter - (Measured in Square Meter) - Area of filter is considered area of plastic media trickling filter.
Volumetric Flow Rate - (Measured in Cubic Meter per Second) - Volumetric Flow Rate is the volume of fluid which passes per unit time.
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.
Treatability Constant - Treatability Constant at 30°C and 25 ft filter depth.
Depth of actual filter - (Measured in Meter) - Depth of actual filter is the virtical dimension of the actuall filter.
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

Volumetric Flow Rate: 5 Cubic Meter per Second --> 5 Cubic Meter per Second No Conversion Required
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)
Treatability Constant: 3 --> No Conversion Required
Depth of actual filter: 7.6 Meter --> 7.6 Meter No Conversion Required
Empirical Constant: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = V*(-1*ln(Q_o/Q_i)/(K_30/25*D₂))^(1/A₀) --> 5*(-1*ln(0.0004/0.0112)/(3*7.6))^(1/100)

Evaluating ... ...

A = 4.90476238331234

STEP 3: Convert Result to Output's Unit

4.90476238331234 Square Meter --> No Conversion Required

FINAL ANSWER

4.90476238331234 ≈ 4.904762 Square Meter <-- Area of filter

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 3 Area of Filter Calculators

Area of Trickling Filter when we have Volumetric Flowrate

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

Area of Filter with known volumetric flow rate and flow velocity

Go Area of filter = ((Volumetric Flow Rate)/(Flow Velocity))

Area of Filter given Hydraulic Loading

Go Area of filter = Volumetric Flow Rate/Hydraulic loading

Area of Trickling Filter when we have Volumetric Flowrate Formula

Area of filter = Volumetric Flow Rate*(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant)
A = V*(-1*ln(Q_o/Q_i)/(K_30/25*D₂))^(1/A₀)

What is volumetric flow rate ?

Tje volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Area of Trickling Filter when we have Volumetric Flowrate?

Area of Trickling Filter when we have Volumetric Flowrate calculator uses Area of filter = Volumetric Flow Rate*(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant) to calculate the Area of filter, The Area of Trickling Filter when we have Volumetric Flowrate calculates the area of filter when we have the prior information of volumetric flow rate and other parameters used. Area of filter is denoted by A symbol.

How to calculate Area of Trickling Filter when we have Volumetric Flowrate using this online calculator? To use this online calculator for Area of Trickling Filter when we have Volumetric Flowrate, enter Volumetric Flow Rate (V), Effluent BOD (Q_o), Influent BOD (Q_i), Treatability Constant (K_30/25), Depth of actual filter (D₂) & Empirical Constant (A₀) and hit the calculate button. Here is how the Area of Trickling Filter when we have Volumetric Flowrate calculation can be explained with given input values -> 4.904762 = 5*(-1*ln(0.0004/0.0112)/(3*7.6))^(1/100).

FAQ

What is Area of Trickling Filter when we have Volumetric Flowrate?

The Area of Trickling Filter when we have Volumetric Flowrate calculates the area of filter when we have the prior information of volumetric flow rate and other parameters used and is represented as A = V*(-1*ln(Q_o/Q_i)/(K_30/25*D₂))^(1/A₀) or Area of filter = Volumetric Flow Rate*(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant). Volumetric Flow Rate is the volume of fluid which passes per unit time, 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, Treatability Constant at 30°C and 25 ft filter depth, Depth of actual filter is the virtical dimension of the actuall filter & 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 Area of Trickling Filter when we have Volumetric Flowrate?

The Area of Trickling Filter when we have Volumetric Flowrate calculates the area of filter when we have the prior information of volumetric flow rate and other parameters used is calculated using Area of filter = Volumetric Flow Rate*(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant). To calculate Area of Trickling Filter when we have Volumetric Flowrate, you need Volumetric Flow Rate (V), Effluent BOD (Q_o), Influent BOD (Q_i), Treatability Constant (K_30/25), Depth of actual filter (D₂) & Empirical Constant (A₀). With our tool, you need to enter the respective value for Volumetric Flow Rate, Effluent BOD, Influent BOD, Treatability Constant, Depth of actual filter & 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 Area of filter?

In this formula, Area of filter uses Volumetric Flow Rate, Effluent BOD, Influent BOD, Treatability Constant, Depth of actual filter & Empirical Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of filter = ((Volumetric Flow Rate)/(Flow Velocity))
Area of filter = Volumetric Flow Rate/Hydraulic loading

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