Combined Overall Efficiency of Screen Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
E = (B*D*XD*(1-XB))/(F*F*XF*(1-XF))
This formula uses 7 Variables
Variables Used
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 .
Mass Flow Rate of Underflow - (Measured in Kilogram per Second) - Mass Flow Rate of Underflow gives us the flow rate of underflow mass in the feed .
Mass Flow Rate of Overflow - (Measured in Kilogram per Second) - Mass Flow Rate of Overflow gives the mass flow rate of overflow from the feed.
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.
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.
Mass Flow Rate of Feed - (Measured in Kilogram per Second) - Mass Flow Rate of Feed is the flow of mass through a surface per unit time .
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.
STEP 1: Convert Input(s) to Base Unit
Mass Flow Rate of Underflow: 8 Kilogram per Second --> 8 Kilogram per Second No Conversion Required
Mass Flow Rate of Overflow: 10 Kilogram per Second --> 10 Kilogram per Second No Conversion Required
Mass Fraction of Material A in Overflow: 0.3 --> No Conversion Required
Mass Fraction of Material A in Underflow: 0.1 --> No Conversion Required
Mass Flow Rate of Feed: 20 Kilogram per Second --> 20 Kilogram per Second No Conversion Required
Mass Fraction of Material A in Feed: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (B*D*XD*(1-XB))/(F*F*XF*(1-XF)) --> (8*10*0.3*(1-0.1))/(20*20*0.2*(1-0.2))
Evaluating ... ...
E = 0.3375
STEP 3: Convert Result to Output's Unit
0.3375 --> No Conversion Required
FINAL ANSWER
0.3375 <-- Combined Overall Efficiency
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 300+ more calculators!
Verified by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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12 Mechanical Separation Calculators

Combined Overall Efficiency of Screen
Go 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))
Mass Fraction of Material in Underflow
Go Mass Fraction of Material A in Underflow = Mass Fraction of Material A in Overflow-((Mass Fraction of Material A in Overflow-Mass Fraction of Material A in Feed)*(Mass Flow Rate of Feed/Mass Flow Rate of Underflow))
Mass Flow Rate of under flow
Go Mass Flow Rate of Underflow = Mass Flow Rate of Feed*((Mass Fraction of Material A in Overflow-Mass Fraction of Material A in Feed)/(Mass Fraction of Material A in Overflow-Mass Fraction of Material A in Underflow))
Mass Flow Rate of over flow
Go Mass Flow Rate of Overflow = Mass Flow Rate of Feed*((Mass Fraction of Material A in Feed-Mass Fraction of Material A in Underflow)/(Mass Fraction of Material A in Overflow-Mass Fraction of Material A in Underflow))
Mass Fraction of Material in Feed
Go Mass Fraction of Material A in Feed = (Mass Flow Rate of Overflow/Mass Flow Rate of Feed)*(Mass Fraction of Material A in Overflow-Mass Fraction of Material A in Underflow)+Mass Fraction of Material A in Underflow
Screen Effectiveness based on Undersize Material
Go Screen Effectiveness Based On Undersize = (Mass Flow Rate of Underflow*(1-Mass Fraction of Material A in Underflow))/(Mass Flow Rate of Feed*(1-Mass Fraction of Material A in Feed))
Screen Effectiveness Based on Oversize Material
Go Screen Effectiveness = (Mass Fraction of Material A in Overflow*Mass Flow Rate of Overflow)/(Mass Flow Rate of Feed*Mass Fraction of Material A in Feed)
Screen Effectiveness based on Oversize Material from Overall Efficiency
Go Screen Effectiveness Based on Oversize Material = Combined Overall Efficiency/Screen Effectiveness Based On Undersize
Mass Flow Rate of Feed
Go Mass Flow Rate of Feed = Mass Flow Rate of Underflow+Mass Flow Rate of Overflow
Diameter of Wire in Terms of Mesh Number
Go Diameter Of Wire = (1/Mesh Number)-Aperture Size
Aperture Size
Go Aperture Size = (1/Mesh Number)-Diameter Of Wire
Mesh Number
Go Mesh Number = 1/(Aperture Size+Diameter Of Wire)

Combined Overall Efficiency of Screen 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))
E = (B*D*XD*(1-XB))/(F*F*XF*(1-XF))

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How to Calculate Combined Overall Efficiency of Screen?

Combined Overall Efficiency of Screen calculator 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 calculate 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 calculate Combined Overall Efficiency of Screen using this online calculator? To use this online calculator 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 (XD), Mass Fraction of Material A in Underflow (XB), Mass Flow Rate of Feed (F) & Mass Fraction of Material A in Feed (XF) and hit the calculate button. Here is how the Combined Overall Efficiency of Screen calculation can be explained with given input values -> 0.3375 = (8*10*0.3*(1-0.1))/(20*20*0.2*(1-0.2)).

FAQ

What is Combined Overall Efficiency of Screen?
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 and is represented as E = (B*D*XD*(1-XB))/(F*F*XF*(1-XF)) or 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)). Mass Flow Rate of Underflow gives us the flow rate of underflow mass in the feed , Mass Flow Rate of Overflow gives the mass flow rate of overflow from the feed, 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, 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, Mass Flow Rate of Feed is the flow of mass through a surface per unit time & 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.
How to calculate Combined Overall Efficiency of Screen?
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 is calculated using 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 calculate Combined Overall Efficiency of Screen, you need Mass Flow Rate of Underflow (B), Mass Flow Rate of Overflow (D), Mass Fraction of Material A in Overflow (XD), Mass Fraction of Material A in Underflow (XB), Mass Flow Rate of Feed (F) & Mass Fraction of Material A in Feed (XF). With our tool, you need to enter the respective value for Mass Flow Rate of Underflow, Mass Flow Rate of Overflow, Mass Fraction of Material A in Overflow, Mass Fraction of Material A in Underflow, Mass Flow Rate of Feed & Mass Fraction of Material A in Feed 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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