BOD of Influent Entering Filter Calculator

✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%
✖Reaction Rate Constant quantifies the rate and direction of a chemical reaction.ⓘ Reaction Rate Constant [K_d]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖Hydraulic loading is the volume of water applied to a treatment system, such as a wastewater treatment plant or a soil absorption system, per unit area per unit time.ⓘ Hydraulic Loading [H]			+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%

✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ BOD of Influent Entering Filter [Q_i]

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Formula

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BOD of Influent Entering Filter

Formula

Q i = \frac{Q o}{\exp (- 1 \cdot K d \cdot D \cdot {(H)}^{- 1 \cdot A 0})}

Example

12.61495 mg/L = \frac{0.4 mg/L}{\exp (- 1 \cdot 0.05 d⁻¹ \cdot 3.0 m \cdot {(0.865 m/s)}^{- 1 \cdot 100})}

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BOD of Influent Entering Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))
Q_i = Q_o/exp(-1*K_d*D*(H)^(-1*A₀))
This formula uses 1 Functions, 6 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Reaction Rate Constant - (Measured in 1 Per Second) - Reaction Rate Constant quantifies the rate and direction of a chemical reaction.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Hydraulic Loading - (Measured in Meter per Second) - Hydraulic loading is the volume of water applied to a treatment system, such as a wastewater treatment plant or a soil absorption system, per unit area per unit time.
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)
Reaction Rate Constant: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Depth: 3 Meter --> 3 Meter No Conversion Required
Hydraulic Loading: 0.865 Meter per Second --> 0.865 Meter per Second No Conversion Required
Empirical Constant: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_i = Q_o/exp(-1*K_d*D*(H)^(-1*A₀)) --> 0.0004/exp(-1*5.78703703703704E-07*3*(0.865)^(-1*100))

Evaluating ... ...

Q_i = 0.0126149495887457

STEP 3: Convert Result to Output's Unit

0.0126149495887457 Kilogram per Cubic Meter -->12.6149495887457 Milligram per Liter (Check conversion here)

FINAL ANSWER

12.6149495887457 ≈ 12.61495 Milligram per Liter <-- Influent BOD

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Eckenfelder Trickling Filter Equation » BOD of Influent Entering Filter

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Eckenfelder Trickling Filter Equation Calculators

Hydraulic Loading Rate given BOD of Influent Entering Filter

Go Hydraulic Loading = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Reaction Rate Constant))^(-1/Empirical Constant)

BOD of Effluent Getting Out of Filter

Go Effluent BOD = Influent BOD*exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))

BOD of Influent Entering Filter

Go Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))

Hydraulic Loading Rate given Discharge

Go Hydraulic Loading Rate given Discharge = Discharge/Area

BOD of Influent Entering Filter Formula

Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant))
Q_i = Q_o/exp(-1*K_d*D*(H)^(-1*A₀))

What is Influent and Effluent?

Influent is water that "flows in". This is the raw, untreated wastewater. Effluent means to "flow out". This is the treated wastewater. The picture at right compares influent and effluent.

How to Calculate BOD of Influent Entering Filter?

BOD of Influent Entering Filter calculator uses Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)) to calculate the Influent BOD, The BOD of Influent Entering Filter formula is defined as the calculation of biological oxygen demand entering filter when we have prior information of other parameters used. Influent BOD is denoted by Q_i symbol.

How to calculate BOD of Influent Entering Filter using this online calculator? To use this online calculator for BOD of Influent Entering Filter, enter Effluent BOD (Q_o), Reaction Rate Constant (K_d), Depth (D), Hydraulic Loading (H) & Empirical Constant (A₀) and hit the calculate button. Here is how the BOD of Influent Entering Filter calculation can be explained with given input values -> 12614.95 = 0.0004/exp(-1*5.78703703703704E-07*3*(0.865)^(-1*100)).

FAQ

What is BOD of Influent Entering Filter?

The BOD of Influent Entering Filter formula is defined as the calculation of biological oxygen demand entering filter when we have prior information of other parameters used and is represented as Q_i = Q_o/exp(-1*K_d*D*(H)^(-1*A₀)) or Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)). Effluent BOD is the amount of BOD present in the outing sewage, Reaction Rate Constant quantifies the rate and direction of a chemical reaction, Depth is the distance from the top or surface to the bottom of something, Hydraulic loading is the volume of water applied to a treatment system, such as a wastewater treatment plant or a soil absorption system, per unit area per unit time & 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 BOD of Influent Entering Filter?

The BOD of Influent Entering Filter formula is defined as the calculation of biological oxygen demand entering filter when we have prior information of other parameters used is calculated using Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)). To calculate BOD of Influent Entering Filter, you need Effluent BOD (Q_o), Reaction Rate Constant (K_d), Depth (D), Hydraulic Loading (H) & Empirical Constant (A₀). With our tool, you need to enter the respective value for Effluent BOD, Reaction Rate Constant, Depth, Hydraulic Loading & Empirical Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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