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Final Efficiency after Two Stage Filtration Formula

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Efficiency of second filter stage is the total efficiency obtained from the second trickling filter. Check FAQs

E 2 = (\frac{100}{1 + (\frac{0.0044}{1 - E 1}) \cdot \sqrt{\frac{Y'}{V T \cdot F}}})

E₂ - Efficiency of Second Filter Stage?E₁ - Efficiency of First Filter Stage?Y_' - BOD in Effluent?V_T - Volume?F - Recirculation Factor?

Final Efficiency after Two Stage Filtration Example

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Here is how the Final Efficiency after Two Stage Filtration equation looks like with Values.

Here is how the Final Efficiency after Two Stage Filtration equation looks like with Units.

Here is how the Final Efficiency after Two Stage Filtration equation looks like.

100 = (\frac{100}{1 + (\frac{0.0044}{1 - 99.5}) \cdot \sqrt{\frac{3}{0.63 \cdot 1.116}}})

100 = (\frac{100}{1 + (\frac{0.0044}{1 - 99.5}) \cdot \sqrt{\frac{3kg/d}{0.63m³ \cdot 1.116}}})

100 = (\frac{100}{1 + (\frac{0.0044}{1 - 99.5}) \cdot \sqrt{\frac{3}{0.63 \cdot 1.116}}})

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Final Efficiency after Two Stage Filtration Solution

Follow our step by step solution on how to calculate Final Efficiency after Two Stage Filtration?

FIRST Step Consider the formula

E 2 = (\frac{100}{1 + (\frac{0.0044}{1 - E 1}) \cdot \sqrt{\frac{Y'}{V T \cdot F}}})

Next Step Substitute values of Variables

∴

E 2 = (\frac{100}{1 + (\frac{0.0044}{1 - 99.5}) \cdot \sqrt{\frac{3kg/d}{0.63m³ \cdot 1.116}}})

Next Step Convert Units

∴

E 2 = (\frac{100}{1 + (\frac{0.0044}{1 - 99.5}) \cdot \sqrt{\frac{3.5E-5kg/s}{0.63m³ \cdot 1.116}}})

Next Step Prepare to Evaluate

∴

E 2 = (\frac{100}{1 + (\frac{0.0044}{1 - 99.5}) \cdot \sqrt{\frac{3.5E-5}{0.63 \cdot 1.116}}})

Next Step Evaluate

∴

E 2 = 100.000031391926

LAST Step Rounding Answer

∴

E 2 = 100

Final Efficiency after Two Stage Filtration Formula Elements

Variables

Functions

Efficiency of Second Filter Stage

Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.

Symbol: E₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of Second Filter Stage

Efficiency of First Filter Stage

Efficiency of first filter stage calculates the efficiency of the filter at the first stage.

Symbol: E₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of First Filter Stage

BOD in Effluent

BOD in Effluent means total BOD in effluent from 1st stage.

Symbol: Y_'

Measurement: Mass Flow RateUnit: kg/d

Note: Value should be greater than 0.

Formulas to find BOD in Effluent

Volume

Volume is the three-dimensional space occupied by a substance or object, such as water, soil, air, or any environmental medium.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume

Recirculation Factor

Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.

Symbol: F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Recirculation Factor

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Efficiency of High Rate Filters category

Go Recirculation Factor given Recirculation Ratio

F = \frac{1 + α}{{(1 + 0.1 \cdot α)}^{2}}

Go Recirculation Factor given Volume of Raw Sewage

F = \frac{1 + (\frac{R}{I})}{{(1 + 0.1 \cdot (\frac{R}{I}))}^{2}}

Go Recirculation Ratio given Volume of Raw Sewage

α = \frac{R}{I}

Go Volume of Raw Sewage given Recirculation Ratio

I = \frac{R}{α}

How to Evaluate Final Efficiency after Two Stage Filtration?

Final Efficiency after Two Stage Filtration evaluator uses Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in Effluent/(Volume*Recirculation Factor)))) to evaluate the Efficiency of Second Filter Stage, The Final Efficiency after Two Stage Filtration formula is defined as the effectiveness of a filtration system in removing contaminants from water after undergoing two stages of filtration. Efficiency of Second Filter Stage is denoted by E₂ symbol.

How to evaluate Final Efficiency after Two Stage Filtration using this online evaluator? To use this online evaluator for Final Efficiency after Two Stage Filtration, enter Efficiency of First Filter Stage (E₁), BOD in Effluent (Y_'), Volume (V_T) & Recirculation Factor (F) and hit the calculate button.

FAQs on Final Efficiency after Two Stage Filtration

What is the formula to find Final Efficiency after Two Stage Filtration?

The formula of Final Efficiency after Two Stage Filtration is expressed as Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in Effluent/(Volume*Recirculation Factor)))). Here is an example- 100 = (100/(1+(0.0044/(1-99.5))*sqrt(3.47222222222222E-05/(0.63*1.116)))).

How to calculate Final Efficiency after Two Stage Filtration?

With Efficiency of First Filter Stage (E₁), BOD in Effluent (Y_'), Volume (V_T) & Recirculation Factor (F) we can find Final Efficiency after Two Stage Filtration using the formula - Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in Effluent/(Volume*Recirculation Factor)))). This formula also uses Square Root (sqrt) function(s).

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Final Efficiency after Two Stage Filtration Formula

Final Efficiency after Two Stage Filtration Example

Final Efficiency after Two Stage Filtration Solution

Final Efficiency after Two Stage Filtration Formula Elements

Other formulas in Efficiency of High Rate Filters category

How to Evaluate Final Efficiency after Two Stage Filtration?

FAQs on Final Efficiency after Two Stage Filtration

Variable Name