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Hydraulic Loading Rate given BOD of Influent Entering Filter Formula

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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. Check FAQs

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

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

Hydraulic Loading Rate given BOD of Influent Entering Filter Example

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Here is how the Hydraulic Loading Rate given BOD of Influent Entering Filter equation looks like with Values.

Here is how the Hydraulic Loading Rate given BOD of Influent Entering Filter equation looks like with Units.

Here is how the Hydraulic Loading Rate given BOD of Influent Entering Filter equation looks like.

0.865 = {(\frac{\ln (\frac{0.4}{12.6})}{- 1 \cdot 3 \cdot 0.05})}^{- \frac{1}{100}}

0.865m/s = {(\frac{\ln (\frac{0.4mg/L}{12.6mg/L})}{- 1 \cdot 3m \cdot 0.05d⁻¹})}^{- \frac{1}{100}}

0.865 = {(\frac{\ln (\frac{0.4}{12.6})}{- 1 \cdot 3 \cdot 0.05})}^{- \frac{1}{100}}

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Hydraulic Loading Rate given BOD of Influent Entering Filter Solution

Follow our step by step solution on how to calculate Hydraulic Loading Rate given BOD of Influent Entering Filter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = {(\frac{\ln (\frac{0.4mg/L}{12.6mg/L})}{- 1 \cdot 3m \cdot 0.05d⁻¹})}^{- \frac{1}{100}}

Next Step Convert Units

∴

H = {(\frac{\ln (\frac{0.0004kg/m³}{0.0126kg/m³})}{- 1 \cdot 3m \cdot 5.8E-7s⁻¹})}^{- \frac{1}{100}}

Next Step Prepare to Evaluate

∴

H = {(\frac{\ln (\frac{0.0004}{0.0126})}{- 1 \cdot 3 \cdot 5.8E-7})}^{- \frac{1}{100}}

Next Step Evaluate

∴

H = 0.865002972527566m/s

LAST Step Rounding Answer

∴

H = 0.865m/s

Hydraulic Loading Rate given BOD of Influent Entering Filter Formula Elements

Variables

Functions

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

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

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

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

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

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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Eckenfelder Trickling Filter Equation category

Go BOD of Influent Entering Filter

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

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 Discharge

H q = \frac{Q}{A}

Go Discharge given Hydraulic Loading Rate per Unit Area

V D = H \cdot A

How to Evaluate Hydraulic Loading Rate given BOD of Influent Entering Filter?

Hydraulic Loading Rate given BOD of Influent Entering Filter evaluator uses Hydraulic Loading = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Reaction Rate Constant))^(-1/Empirical Constant) to evaluate the Hydraulic Loading, The Hydraulic Loading Rate given BOD of Influent Entering Filter formula is defined in wastewater treatment process unit as volume of wastewater applied to surface of process unit per time period. Hydraulic Loading is denoted by H symbol.

How to evaluate Hydraulic Loading Rate given BOD of Influent Entering Filter using this online evaluator? To use this online evaluator for Hydraulic Loading Rate given BOD of Influent Entering Filter, enter Effluent BOD (Q_o), Influent BOD (Q_i), Depth (D), Reaction Rate Constant (K_d) & Empirical Constant (A₀) and hit the calculate button.

FAQs on Hydraulic Loading Rate given BOD of Influent Entering Filter

What is the formula to find Hydraulic Loading Rate given BOD of Influent Entering Filter?

The formula of Hydraulic Loading Rate given BOD of Influent Entering Filter is expressed as Hydraulic Loading = (ln(Effluent BOD/Influent BOD)/(-1*Depth*Reaction Rate Constant))^(-1/Empirical Constant). Here is an example- 0.865303 = (ln(0.0004/0.0126)/(-1*3*5.78703703703704E-07))^(-1/100).

How to calculate Hydraulic Loading Rate given BOD of Influent Entering Filter?

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

Can the Hydraulic Loading Rate given BOD of Influent Entering Filter be negative?

No, the Hydraulic Loading Rate given BOD of Influent Entering Filter, measured in Speed cannot be negative.

Which unit is used to measure Hydraulic Loading Rate given BOD of Influent Entering Filter?

Hydraulic Loading Rate given BOD of Influent Entering Filter is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Hydraulic Loading Rate given BOD of Influent Entering Filter can be measured.

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Hydraulic Loading Rate given BOD of Influent Entering Filter Formula

Hydraulic Loading Rate given BOD of Influent Entering Filter Example

Hydraulic Loading Rate given BOD of Influent Entering Filter Solution

Hydraulic Loading Rate given BOD of Influent Entering Filter Formula Elements

Other formulas in Eckenfelder Trickling Filter Equation category

How to Evaluate Hydraulic Loading Rate given BOD of Influent Entering Filter?

FAQs on Hydraulic Loading Rate given BOD of Influent Entering Filter

Variable Name