Radius of electrode Calculator

✖Radius of flushing hole is the radius of flushing hole in EDM.ⓘ Radius of Flushing Hole [R₁]			+10% -10%
✖Pressure in Flushing Hole is the pressure in hole during EDM machining.ⓘ Pressure in Flushing Hole [P₁]			+10% -10%
✖Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.ⓘ Atmospheric Pressure [P_atm]			+10% -10%
✖Gap spacing is the width of distance between electrode and work during EDM.ⓘ Gap Spacing [h]			+10% -10%
✖Flow rate of the electrolyte is the flow rate of the electrolyte used in EDM.ⓘ Flow Rate of the Electrolyte [Q]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_v]			+10% -10%

✖Radius of the electrodes is defined as the radius of the electrode used for unconventional machining by EDM.ⓘ Radius of electrode [R₀]

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Formula

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Radius of electrode

Formula

`"R"_{"0"} = "R"_{"1"}*exp((pi*("P"_{"1"}-"P"_{"atm"})*"h"^3)/("Q"*6*"μ"_{"v"}))`

Example

`"5.025083cm"="4cm"*exp((pi*("11N/cm²"-"10N/cm²")*("2cm")^3)/("0.18m³/s"*6*"10.2P"))`

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Radius of electrode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity))
R₀ = R₁*exp((pi*(P₁-P_atm)*h^3)/(Q*6*μ_v))
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Radius of the Electrodes - (Measured in Meter) - Radius of the electrodes is defined as the radius of the electrode used for unconventional machining by EDM.
Radius of Flushing Hole - (Measured in Meter) - Radius of flushing hole is the radius of flushing hole in EDM.
Pressure in Flushing Hole - (Measured in Pascal) - Pressure in Flushing Hole is the pressure in hole during EDM machining.
Atmospheric Pressure - (Measured in Pascal) - Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.
Gap Spacing - (Measured in Meter) - Gap spacing is the width of distance between electrode and work during EDM.
Flow Rate of the Electrolyte - (Measured in Cubic Meter per Second) - Flow rate of the electrolyte is the flow rate of the electrolyte used in EDM.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Radius of Flushing Hole: 4 Centimeter --> 0.04 Meter (Check conversion here)
Pressure in Flushing Hole: 11 Newton per Square Centimeter --> 110000 Pascal (Check conversion here)
Atmospheric Pressure: 10 Newton per Square Centimeter --> 100000 Pascal (Check conversion here)
Gap Spacing: 2 Centimeter --> 0.02 Meter (Check conversion here)
Flow Rate of the Electrolyte: 0.18 Cubic Meter per Second --> 0.18 Cubic Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₀ = R₁*exp((pi*(P₁-P_atm)*h^3)/(Q*6*μ_v)) --> 0.04*exp((pi*(110000-100000)*0.02^3)/(0.18*6*1.02))

Evaluating ... ...

R₀ = 0.0502508302280387

STEP 3: Convert Result to Output's Unit

0.0502508302280387 Meter -->5.02508302280387 Centimeter (Check conversion here)

FINAL ANSWER

5.02508302280387 ≈ 5.025083 Centimeter <-- Radius of the Electrodes

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Unconventional machining processes » Electro Discharge Machining (EDM) » Flow rate of the electrolyte » Radius of electrode

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 7 Flow rate of the electrolyte Calculators

Gap spacing

Go Gap Spacing = ((Flow Rate of the Electrolyte*(6*Dynamic Viscosity*ln(Radius of the Electrodes/Radius of Flushing Hole)))/(pi*(Pressure in Flushing Hole-Atmospheric Pressure)))^(1/3)

Radius of flushing hole

Go Radius of Flushing Hole = Radius of the Electrodes/exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity))

Radius of electrode

Go Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity))

Pressure in flushing hole flow rate electrolyte

Go Pressure in Flushing Hole = Atmospheric Pressure+((Flow Rate of the Electrolyte*6*Dynamic Viscosity*ln(Radius of the Electrodes/Radius of Flushing Hole))/(pi*Gap Spacing^3))

Dynamic viscosity of electrolyte

Go Dynamic Viscosity = (pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(6*Flow Rate of the Electrolyte*ln(Radius of the Electrodes/Radius of Flushing Hole))

Flow rate of electrolyte

Go Flow Rate of the Electrolyte = (pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(6*Dynamic Viscosity*ln(Radius of the Electrodes/Radius of Flushing Hole))

Atmospheric pressure

Go Atmospheric Pressure = Pressure in Flushing Hole-((Flow Rate of the Electrolyte*6*Dynamic Viscosity*ln(Radius of the Electrodes/Radius of Flushing Hole))/(pi*Gap Spacing^3))

Radius of electrode Formula

What is term Flushing means in Electric Discharge Machining ?

Flushing refers to the method in which the dielectric fluid flows between the tool and the work gap.The efficiency of machining depends to a greater extent on the efficiency of the flushing. The wear debris present in the spark gap should be removed as quickly as possible. With poor flushing there is a possibility of build-up of the machined particles in the gap resulting in the short-circuiting and lower material removal rates. Problems with improper flushing are: uneven and significant tool wear affecting accuracy and surface finish; reduced removal rates due to unstable machining conditions and arcing around regions with high concentration of debris. It is noted during an experimental study that there is an optimum dielectric flushing rate of about 13 ml/s while machining AISI O1 tool steel, where the crack density and average thickness of the recast layer are at a minimum.

How to Calculate Radius of electrode?

Radius of electrode calculator uses Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity)) to calculate the Radius of the Electrodes, The Radius of electrode formula is defined as radius of electrode used for unconventional machining by EDM. Radius of the Electrodes is denoted by R₀ symbol.

How to calculate Radius of electrode using this online calculator? To use this online calculator for Radius of electrode, enter Radius of Flushing Hole (R₁), Pressure in Flushing Hole (P₁), Atmospheric Pressure (P_atm), Gap Spacing (h), Flow Rate of the Electrolyte (Q) & Dynamic Viscosity (μ_v) and hit the calculate button. Here is how the Radius of electrode calculation can be explained with given input values -> 405.5132 = 0.04*exp((pi*(110000-100000)*0.02^3)/(0.18*6*1.02)).

FAQ

What is Radius of electrode?

The Radius of electrode formula is defined as radius of electrode used for unconventional machining by EDM and is represented as R₀ = R₁*exp((pi*(P₁-P_atm)*h^3)/(Q*6*μ_v)) or Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity)). Radius of flushing hole is the radius of flushing hole in EDM, Pressure in Flushing Hole is the pressure in hole during EDM machining, Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth, Gap spacing is the width of distance between electrode and work during EDM, Flow rate of the electrolyte is the flow rate of the electrolyte used in EDM & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Radius of electrode?

The Radius of electrode formula is defined as radius of electrode used for unconventional machining by EDM is calculated using Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity)). To calculate Radius of electrode, you need Radius of Flushing Hole (R₁), Pressure in Flushing Hole (P₁), Atmospheric Pressure (P_atm), Gap Spacing (h), Flow Rate of the Electrolyte (Q) & Dynamic Viscosity (μ_v). With our tool, you need to enter the respective value for Radius of Flushing Hole, Pressure in Flushing Hole, Atmospheric Pressure, Gap Spacing, Flow Rate of the Electrolyte & Dynamic Viscosity 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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