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BOD of Influent Entering Filter Formula

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Influent BOD is the total amount of BOD which is present in the incoming sewage. Check FAQs

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

Q_i - Influent BOD?Q_o - Effluent BOD?K_d - Reaction Rate Constant?D - Depth?H - Hydraulic Loading?A₀ - Empirical Constant?

BOD of Influent Entering Filter Example

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With units

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Here is how the BOD of Influent Entering Filter equation looks like with Values.

Here is how the BOD of Influent Entering Filter equation looks like with Units.

Here is how the BOD of Influent Entering Filter equation looks like.

12.6149 = \frac{0.4}{\exp (- 1 \cdot 0.05 \cdot 3 \cdot {(0.865)}^{- 1 \cdot 100})}

12.6149mg/L = \frac{0.4mg/L}{\exp (- 1 \cdot 0.05d⁻¹ \cdot 3m \cdot {(0.865m/s)}^{- 1 \cdot 100})}

12.6149 = \frac{0.4}{\exp (- 1 \cdot 0.05 \cdot 3 \cdot {(0.865)}^{- 1 \cdot 100})}

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BOD of Influent Entering Filter Solution

Follow our step by step solution on how to calculate BOD of Influent Entering Filter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q i = \frac{0.4mg/L}{\exp (- 1 \cdot 0.05d⁻¹ \cdot 3m \cdot {(0.865m/s)}^{- 1 \cdot 100})}

Next Step Convert Units

∴

Q i = \frac{0.0004kg/m³}{\exp (- 1 \cdot 5.8E-7s⁻¹ \cdot 3m \cdot {(0.865m/s)}^{- 1 \cdot 100})}

Next Step Prepare to Evaluate

∴

Q i = \frac{0.0004}{\exp (- 1 \cdot 5.8E-7 \cdot 3 \cdot {(0.865)}^{- 1 \cdot 100})}

Next Step Evaluate

∴

Q i = 0.0126149495887457kg/m³

Next Step Convert to Output's Unit

∴

Q i = 12.6149495887457mg/L

LAST Step Rounding Answer

∴

Q i = 12.6149mg/L

BOD of Influent Entering Filter Formula Elements

Variables

Functions

Influent BOD

Influent BOD is the total amount of BOD which is present in the incoming sewage.

Symbol: Q_i

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Influent BOD

Effluent BOD

Effluent BOD is the amount of BOD present in the outing sewage.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD

Reaction Rate Constant

Reaction Rate Constant quantifies the rate and direction of a chemical reaction.

Symbol: K_d

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Reaction Rate Constant

Depth

Depth is the distance from the top or surface to the bottom of something.

Symbol: D

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth

Hydraulic Loading

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.

Symbol: H

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Hydraulic Loading

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.

Symbol: A₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Empirical Constant

exp

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

Syntax: exp(Number)

Other formulas in Eckenfelder Trickling Filter Equation category

Go BOD of Effluent Getting Out of Filter

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

Go Hydraulic Loading Rate given BOD of Influent Entering Filter

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

Go Hydraulic Loading Rate given Discharge

H q = \frac{Q}{A}

Go Discharge given Hydraulic Loading Rate per Unit Area

V D = H \cdot A

How to Evaluate BOD of Influent Entering Filter?

BOD of Influent Entering Filter evaluator uses Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)) to evaluate 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 evaluate BOD of Influent Entering Filter using this online evaluator? To use this online evaluator 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.

FAQs on BOD of Influent Entering Filter

What is the formula to find BOD of Influent Entering Filter?

The formula of BOD of Influent Entering Filter is expressed as Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)). Here is an example- 12614.95 = 0.0004/exp(-1*5.78703703703704E-07*3*(0.865)^(-1*100)).

How to calculate BOD of Influent Entering Filter?

With Effluent BOD (Q_o), Reaction Rate Constant (K_d), Depth (D), Hydraulic Loading (H) & Empirical Constant (A₀) we can find BOD of Influent Entering Filter using the formula - Influent BOD = Effluent BOD/exp(-1*Reaction Rate Constant*Depth*(Hydraulic Loading)^(-1*Empirical Constant)). This formula also uses Exponential Growth (exp) function(s).

Can the BOD of Influent Entering Filter be negative?

No, the BOD of Influent Entering Filter, measured in Density cannot be negative.

Which unit is used to measure BOD of Influent Entering Filter?

BOD of Influent Entering Filter is usually measured using the Milligram per Liter[mg/L] for Density. Kilogram per Cubic Meter[mg/L], Kilogram per Cubic Centimeter[mg/L], Gram per Cubic Meter[mg/L] are the few other units in which BOD of Influent Entering Filter can be measured.

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BOD of Influent Entering Filter Formula

BOD of Influent Entering Filter Example

BOD of Influent Entering Filter Solution

BOD of Influent Entering Filter Formula Elements

Other formulas in Eckenfelder Trickling Filter Equation category

How to Evaluate BOD of Influent Entering Filter?

FAQs on BOD of Influent Entering Filter

Variable Name