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Combined Overall Efficiency of Screen Formula

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Combined Overall Efficiency is the total efficiency of the feed that is the combined efficiency of the overflow feed and the underflow feed . Check FAQs

E = \frac{B \cdot D \cdot X D \cdot (1 - X B)}{F \cdot F \cdot X F \cdot (1 - X F)}

E - Combined Overall Efficiency?B - Mass Flow Rate of Underflow?D - Mass Flow Rate of Overflow?X_D - Mass Fraction of Material A in Overflow?X_B - Mass Fraction of Material A in Underflow?F - Mass Flow Rate of Feed?X_F - Mass Fraction of Material A in Feed?

Combined Overall Efficiency of Screen Example

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Here is how the Combined Overall Efficiency of Screen equation looks like with Values.

Here is how the Combined Overall Efficiency of Screen equation looks like with Units.

Here is how the Combined Overall Efficiency of Screen equation looks like.

0.3375 = \frac{8 \cdot 10 \cdot 0.3 \cdot (1 - 0.1)}{20 \cdot 20 \cdot 0.2 \cdot (1 - 0.2)}

0.3375 = \frac{8kg/s \cdot 10kg/s \cdot 0.3 \cdot (1 - 0.1)}{20kg/s \cdot 20kg/s \cdot 0.2 \cdot (1 - 0.2)}

0.3375 = \frac{8 \cdot 10 \cdot 0.3 \cdot (1 - 0.1)}{20 \cdot 20 \cdot 0.2 \cdot (1 - 0.2)}

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Combined Overall Efficiency of Screen Solution

Follow our step by step solution on how to calculate Combined Overall Efficiency of Screen?

FIRST Step Consider the formula

E = \frac{B \cdot D \cdot X D \cdot (1 - X B)}{F \cdot F \cdot X F \cdot (1 - X F)}

Next Step Substitute values of Variables

∴

E = \frac{8kg/s \cdot 10kg/s \cdot 0.3 \cdot (1 - 0.1)}{20kg/s \cdot 20kg/s \cdot 0.2 \cdot (1 - 0.2)}

Next Step Prepare to Evaluate

∴

E = \frac{8 \cdot 10 \cdot 0.3 \cdot (1 - 0.1)}{20 \cdot 20 \cdot 0.2 \cdot (1 - 0.2)}

LAST Step Evaluate

∴

E = 0.3375

Combined Overall Efficiency of Screen Formula Elements

Variables

Combined Overall Efficiency

Combined Overall Efficiency is the total efficiency of the feed that is the combined efficiency of the overflow feed and the underflow feed .

Symbol: E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Mass Flow Rate of Underflow

Mass Flow Rate of Underflow gives us the flow rate of underflow mass in the feed .

Symbol: B

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Mass Flow Rate of Overflow

Mass Flow Rate of Overflow gives the mass flow rate of overflow from the feed.

Symbol: D

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Mass Fraction of Material A in Overflow

Mass Fraction of Material A in Overflow is the ratio of the mass of any material in the mixture to the total mass of the mixture in the overflow feed.

Symbol: X_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Mass Fraction of Material A in Underflow

Mass Fraction of Material A in Underflow is the ratio of the mass of any material in the mixture to the total mass of the mixture in the underflow feed.

Symbol: X_B

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Mass Flow Rate of Feed

Mass Flow Rate of Feed is the flow of mass through a surface per unit time .

Symbol: F

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Mass Fraction of Material A in Feed

Mass Fraction of Material A in Feed is the ratio of the mass of any material in the mixture to the total mass of the mixture in the feed.

Symbol: X_F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Credits

Creator Image

Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Formula and 300+ more formulas!

Verifier Image

Verified by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

Ayush gupta has verified this Formula and 10+ more formulas!

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How to Evaluate Combined Overall Efficiency of Screen?

Combined Overall Efficiency of Screen evaluator uses Combined Overall Efficiency = (Mass Flow Rate of Underflow*Mass Flow Rate of Overflow*Mass Fraction of Material A in Overflow*(1-Mass Fraction of Material A in Underflow))/(Mass Flow Rate of Feed*Mass Flow Rate of Feed*Mass Fraction of Material A in Feed*(1-Mass Fraction of Material A in Feed)) to evaluate the Combined Overall Efficiency, The Combined Overall Efficiency of Screen is the total efficiency of the feed that is the combined efficiency of the overflow feed and the underflow feed . Combined Overall Efficiency is denoted by E symbol.

How to evaluate Combined Overall Efficiency of Screen using this online evaluator? To use this online evaluator for Combined Overall Efficiency of Screen, enter Mass Flow Rate of Underflow (B), Mass Flow Rate of Overflow (D), Mass Fraction of Material A in Overflow (X_D), Mass Fraction of Material A in Underflow (X_B), Mass Flow Rate of Feed (F) & Mass Fraction of Material A in Feed (X_F) and hit the calculate button.

FAQs on Combined Overall Efficiency of Screen

What is the formula to find Combined Overall Efficiency of Screen?

The formula of Combined Overall Efficiency of Screen is expressed as Combined Overall Efficiency = (Mass Flow Rate of Underflow*Mass Flow Rate of Overflow*Mass Fraction of Material A in Overflow*(1-Mass Fraction of Material A in Underflow))/(Mass Flow Rate of Feed*Mass Flow Rate of Feed*Mass Fraction of Material A in Feed*(1-Mass Fraction of Material A in Feed)). Here is an example- 0.3375 = (8*10*0.3*(1-0.1))/(20*20*0.2*(1-0.2)).

How to calculate Combined Overall Efficiency of Screen?

With Mass Flow Rate of Underflow (B), Mass Flow Rate of Overflow (D), Mass Fraction of Material A in Overflow (X_D), Mass Fraction of Material A in Underflow (X_B), Mass Flow Rate of Feed (F) & Mass Fraction of Material A in Feed (X_F) we can find Combined Overall Efficiency of Screen using the formula - Combined Overall Efficiency = (Mass Flow Rate of Underflow*Mass Flow Rate of Overflow*Mass Fraction of Material A in Overflow*(1-Mass Fraction of Material A in Underflow))/(Mass Flow Rate of Feed*Mass Flow Rate of Feed*Mass Fraction of Material A in Feed*(1-Mass Fraction of Material A in Feed)).

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