Volumetric Flow Rate when we have Area of Trickling Filter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volumetric Flow Rate = (Area of filter/(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant))
V = (A/(-1*ln(Qo/Qi)/(K30/25*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
Volumetric Flow Rate - (Measured in Cubic Meter per Second) - Volumetric Flow Rate is the volume of fluid which passes per unit time.
Area of filter - (Measured in Square Meter) - Area of filter is considered area of plastic media trickling filter.
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
Area of filter: 3 Square Meter --> 3 Square Meter 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
V = (A/(-1*ln(Qo/Qi)/(K30/25*D2))^(1/A0)) --> (3/(-1*ln(0.0004/0.0112)/(3*7.6))^(1/100))
Evaluating ... ...
V = 3.05825212879529
STEP 3: Convert Result to Output's Unit
3.05825212879529 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
3.05825212879529 3.058252 Cubic Meter per Second <-- Volumetric Flow Rate
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
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 Flow Rate when we have Area of Trickling Filter Formula

Volumetric Flow Rate = (Area of filter/(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant))
V = (A/(-1*ln(Qo/Qi)/(K30/25*D2))^(1/A0))

What is volumetric flow rate ?

The 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 Volumetric Flow Rate when we have Area of Trickling Filter?

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

How to calculate Volumetric Flow Rate when we have Area of Trickling Filter using this online calculator? To use this online calculator for Volumetric Flow Rate when we have Area of Trickling Filter, enter Area of filter (A), Effluent BOD (Qo), Influent BOD (Qi), Treatability Constant (K30/25), Depth of actual filter (D2) & Empirical Constant (A0) and hit the calculate button. Here is how the Volumetric Flow Rate when we have Area of Trickling Filter calculation can be explained with given input values -> 3.058252 = (3/(-1*ln(0.0004/0.0112)/(3*7.6))^(1/100)).

FAQ

What is Volumetric Flow Rate when we have Area of Trickling Filter?
Volumetric Flow Rate when we have Area of Trickling Filter calculates the volumetric flow rate when we have prior information of other parameters used and is represented as V = (A/(-1*ln(Qo/Qi)/(K30/25*D2))^(1/A0)) or Volumetric Flow Rate = (Area of filter/(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant)). Area of filter is considered area of plastic media trickling filter, 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 Volumetric Flow Rate when we have Area of Trickling Filter?
Volumetric Flow Rate when we have Area of Trickling Filter calculates the volumetric flow rate when we have prior information of other parameters used is calculated using Volumetric Flow Rate = (Area of filter/(-1*ln(Effluent BOD/Influent BOD)/(Treatability Constant*Depth of actual filter))^(1/Empirical Constant)). To calculate Volumetric Flow Rate when we have Area of Trickling Filter, you need Area of filter (A), Effluent BOD (Qo), Influent BOD (Qi), Treatability Constant (K30/25), Depth of actual filter (D2) & Empirical Constant (A0). With our tool, you need to enter the respective value for Area of filter, 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 Volumetric Flow Rate?
In this formula, Volumetric Flow Rate uses Area of filter, Effluent BOD, Influent BOD, Treatability Constant, Depth of actual filter & Empirical Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Volumetric Flow Rate = Volumetric flow per unit area*Area of filter
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