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Pressure distribution in flushing gap Formula

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Pressure in the flushing gap is the pressure at any distance r in fluid flow passage through the electrode in the EDM process. Check FAQs

P r = P atm + \frac{(P 1 - P atm) \cdot \ln (\frac{R 0}{r})}{\ln (\frac{R 0}{R 1})}

P_r - Pressure in the Flushing Gap?P_atm - Atmospheric Pressure?P₁ - Pressure in Flushing Hole?R₀ - Radius of the Electrodes?r - Radial Location of Pressure?R₁ - Radius of Flushing Hole?

Pressure distribution in flushing gap Example

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Here is how the Pressure distribution in flushing gap equation looks like with Values.

Here is how the Pressure distribution in flushing gap equation looks like with Units.

Here is how the Pressure distribution in flushing gap equation looks like.

4.384 = 10.1325 + \frac{(11 - 10.1325) \cdot \ln (\frac{2.07}{2.6})}{\ln (\frac{2.07}{2})}

4.384N/cm² = 10.1325N/cm² + \frac{(11N/cm² - 10.1325N/cm²) \cdot \ln (\frac{2.07cm}{2.6cm})}{\ln (\frac{2.07cm}{2cm})}

4.384 = 10.1325 + \frac{(11 - 10.1325) \cdot \ln (\frac{2.07}{2.6})}{\ln (\frac{2.07}{2})}

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Pressure distribution in flushing gap Solution

Follow our step by step solution on how to calculate Pressure distribution in flushing gap?

FIRST Step Consider the formula

P r = P atm + \frac{(P 1 - P atm) \cdot \ln (\frac{R 0}{r})}{\ln (\frac{R 0}{R 1})}

Next Step Substitute values of Variables

∴

P r = 10.1325N/cm² + \frac{(11N/cm² - 10.1325N/cm²) \cdot \ln (\frac{2.07cm}{2.6cm})}{\ln (\frac{2.07cm}{2cm})}

Next Step Convert Units

∴

P r = 101325Pa + \frac{(110000Pa - 101325Pa) \cdot \ln (\frac{0.0207m}{0.026m})}{\ln (\frac{0.0207m}{0.02m})}

Next Step Prepare to Evaluate

∴

P r = 101325 + \frac{(110000 - 101325) \cdot \ln (\frac{0.0207}{0.026})}{\ln (\frac{0.0207}{0.02})}

Next Step Evaluate

∴

P r = 43839.6627280353Pa

Next Step Convert to Output's Unit

∴

P r = 4.38396627280353N/cm²

LAST Step Rounding Answer

∴

P r = 4.384N/cm²

Pressure distribution in flushing gap Formula Elements

Variables

Functions

Pressure in the Flushing Gap

Pressure in the flushing gap is the pressure at any distance r in fluid flow passage through the electrode in the EDM process.

Symbol: P_r

Measurement: PressureUnit: N/cm²

Note: Value can be positive or negative.

Formulas to find Pressure in the Flushing Gap

Atmospheric Pressure

Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.

Symbol: P_atm

Measurement: PressureUnit: N/cm²

Note: Value can be positive or negative.

Formulas to find Atmospheric Pressure

Pressure in Flushing Hole

Pressure in Flushing Hole is the pressure in hole during EDM machining.

Symbol: P₁

Measurement: PressureUnit: N/cm²

Note: Value can be positive or negative.

Formulas to find Pressure in Flushing Hole

Radius of the Electrodes

Radius of the electrodes is defined as the radius of the electrode used for unconventional machining by EDM.

Symbol: R₀

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Radius of the Electrodes

Radial Location of Pressure

Radial location of pressure is the radial location of pressure during EDM.

Symbol: r

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Radial Location of Pressure

Radius of Flushing Hole

Radius of flushing hole is the radius of flushing hole in EDM.

Symbol: R₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Flushing Hole

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Pressure distribution in the flushing gap category

Go Radius of flushing hole EDM

R 1 = \frac{R 0}{{(\frac{R 0}{r})}^{\frac{P 1 - P atm}{P r - P atm}}}

Go Atmospheric pressure at electrode tip

P atm = \frac{P r \cdot \ln (\frac{R 0}{R 1}) - P 1 \cdot \ln (\frac{R 0}{r})}{\ln (\frac{r}{R 1})}

Go Pressure in flushing hole

P 1 = P atm + (P r - P atm) \cdot (\frac{\ln (\frac{R 0}{R 1})}{\ln (\frac{R 0}{r})})

Go Radial location of pressure distribution

r = \frac{R 0}{{(\frac{R 0}{R 1})}^{\frac{P r - P atm}{P 1 - P atm}}}

How to Evaluate Pressure distribution in flushing gap?

Pressure distribution in flushing gap evaluator uses Pressure in the Flushing Gap = Atmospheric Pressure+((Pressure in Flushing Hole-Atmospheric Pressure)*ln(Radius of the Electrodes/Radial Location of Pressure))/(ln(Radius of the Electrodes/Radius of Flushing Hole)) to evaluate the Pressure in the Flushing Gap, The Pressure distribution in flushing gap formula is defined as pressure of dielectric fluid used for flushing hole at any given radial position. Pressure in the Flushing Gap is denoted by P_r symbol.

How to evaluate Pressure distribution in flushing gap using this online evaluator? To use this online evaluator for Pressure distribution in flushing gap, enter Atmospheric Pressure (P_atm), Pressure in Flushing Hole (P₁), Radius of the Electrodes (R₀), Radial Location of Pressure (r) & Radius of Flushing Hole (R₁) and hit the calculate button.

FAQs on Pressure distribution in flushing gap

What is the formula to find Pressure distribution in flushing gap?

The formula of Pressure distribution in flushing gap is expressed as Pressure in the Flushing Gap = Atmospheric Pressure+((Pressure in Flushing Hole-Atmospheric Pressure)*ln(Radius of the Electrodes/Radial Location of Pressure))/(ln(Radius of the Electrodes/Radius of Flushing Hole)). Here is an example- 0.000438 = 101325+((110000-101325)*ln(0.0207/0.026))/(ln(0.0207/0.02)).

How to calculate Pressure distribution in flushing gap?

With Atmospheric Pressure (P_atm), Pressure in Flushing Hole (P₁), Radius of the Electrodes (R₀), Radial Location of Pressure (r) & Radius of Flushing Hole (R₁) we can find Pressure distribution in flushing gap using the formula - Pressure in the Flushing Gap = Atmospheric Pressure+((Pressure in Flushing Hole-Atmospheric Pressure)*ln(Radius of the Electrodes/Radial Location of Pressure))/(ln(Radius of the Electrodes/Radius of Flushing Hole)). This formula also uses Natural Logarithm (ln) function(s).

Can the Pressure distribution in flushing gap be negative?

Yes, the Pressure distribution in flushing gap, measured in Pressure can be negative.

Which unit is used to measure Pressure distribution in flushing gap?

Pressure distribution in flushing gap is usually measured using the Newton per Square Centimeter[N/cm²] for Pressure. Pascal[N/cm²], Kilopascal[N/cm²], Bar[N/cm²] are the few other units in which Pressure distribution in flushing gap can be measured.

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Pressure distribution in flushing gap Formula

Pressure distribution in flushing gap Example

Pressure distribution in flushing gap Solution

Pressure distribution in flushing gap Formula Elements

Other formulas in Pressure distribution in the flushing gap category

How to Evaluate Pressure distribution in flushing gap?

FAQs on Pressure distribution in flushing gap

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