Current Efficiency given Volumetric Material Removal Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current)
ηe = Zr*ρ/(e*I)
This formula uses 5 Variables
Variables Used
Current Efficiency in Decimal - Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.
Metal Removal Rate - (Measured in Cubic Meter per Second) - Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.
Work Piece Density - (Measured in Kilogram per Cubic Meter) - The Work Piece Density is the mass per unit volume ratio of the material of workpiece.
Electrochemical Equivalent - (Measured in Kilogram Per Coulomb) - The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.
Electric Current - (Measured in Ampere) - Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
STEP 1: Convert Input(s) to Base Unit
Metal Removal Rate: 38 Cubic Millimeter per Second --> 3.8E-08 Cubic Meter per Second (Check conversion here)
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required
Electric Current: 1000 Ampere --> 1000 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηe = Zr*ρ/(e*I) --> 3.8E-08*6861.065/(2.894E-07*1000)
Evaluating ... ...
ηe = 0.90090003455425
STEP 3: Convert Result to Output's Unit
0.90090003455425 --> No Conversion Required
FINAL ANSWER
0.90090003455425 0.9009 <-- Current Efficiency in Decimal
(Calculation completed in 00.020 seconds)

Credits

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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3 Current Efficiency Calculators

Current Efficiency given Gap between Tool and Work Surface
Go Current Efficiency in Decimal = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent)
Current Efficiency given Tool Feed Speed
Go Current Efficiency in Decimal = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Electric Current)
Current Efficiency given Volumetric Material Removal Rate
Go Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current)

Current Efficiency given Volumetric Material Removal Rate Formula

Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current)
ηe = Zr*ρ/(e*I)

Electrochemistry of ECMM

The anodic workpiece in ECMM is dissolved according to Faraday’s laws of electrolysis. The dissolved material and other by-products generated in the process such as sludge and cathode gas are transported out from the gap by the flowing electrolyte.

How to Calculate Current Efficiency given Volumetric Material Removal Rate?

Current Efficiency given Volumetric Material Removal Rate calculator uses Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current) to calculate the Current Efficiency in Decimal, The Current Efficiency given Volumetric Material Removal Rate is a method to determine the ratio of actual metal removed due to electrolysis to the calculated value of metal removed during ECM. Current Efficiency in Decimal is denoted by ηe symbol.

How to calculate Current Efficiency given Volumetric Material Removal Rate using this online calculator? To use this online calculator for Current Efficiency given Volumetric Material Removal Rate, enter Metal Removal Rate (Zr), Work Piece Density (ρ), Electrochemical Equivalent (e) & Electric Current (I) and hit the calculate button. Here is how the Current Efficiency given Volumetric Material Removal Rate calculation can be explained with given input values -> 0.705158 = 3.8E-08*6861.065/(2.894E-07*1000).

FAQ

What is Current Efficiency given Volumetric Material Removal Rate?
The Current Efficiency given Volumetric Material Removal Rate is a method to determine the ratio of actual metal removed due to electrolysis to the calculated value of metal removed during ECM and is represented as ηe = Zr*ρ/(e*I) or Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current). Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, The Work Piece Density is the mass per unit volume ratio of the material of workpiece, The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge & Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
How to calculate Current Efficiency given Volumetric Material Removal Rate?
The Current Efficiency given Volumetric Material Removal Rate is a method to determine the ratio of actual metal removed due to electrolysis to the calculated value of metal removed during ECM is calculated using Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current). To calculate Current Efficiency given Volumetric Material Removal Rate, you need Metal Removal Rate (Zr), Work Piece Density (ρ), Electrochemical Equivalent (e) & Electric Current (I). With our tool, you need to enter the respective value for Metal Removal Rate, Work Piece Density, Electrochemical Equivalent & Electric Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Current Efficiency in Decimal?
In this formula, Current Efficiency in Decimal uses Metal Removal Rate, Work Piece Density, Electrochemical Equivalent & Electric Current. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Current Efficiency in Decimal = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Electric Current)
  • Current Efficiency in Decimal = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent)
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