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Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Formula

GoOil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition Formula

GoAmount of Leakage of Fluid through Face Seal Formula

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Oil Flow From Bush Seal is the part of the fluid or the oil flowing through the sealing bush. Check FAQs

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{l} \cdot q

Q - Oil Flow From Bush Seal?a - Outer Radius of Plain Bush Seal?P_s - Minimum Percentage Compression?P_e - Exit Pressure?l - Depth of U Collar?q - Volumetric Flow Rate Per Unit Pressure?π - Archimedes' constant?

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Example

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Here is how the Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition equation looks like with Values.

Here is how the Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition equation looks like with Units.

Here is how the Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition equation looks like.

266669.4441 = \frac{2 \cdot 3.1416 \cdot 15 \cdot (16 - \frac{2.1}{10^{6}})}{0.0383} \cdot 7.7885

266669.4441mm³/s = \frac{2 \cdot 3.1416 \cdot 15mm \cdot (16 - \frac{2.1MPa}{10^{6}})}{0.0383mm} \cdot 7.7885mm³/s

266669.4441 = \frac{2 \cdot 3.1416 \cdot 15 \cdot (16 - \frac{2.1}{10^{6}})}{0.0383} \cdot 7.7885

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Design of Machine Elements » fx Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Solution

Follow our step by step solution on how to calculate Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition?

FIRST Step Consider the formula

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{l} \cdot q

Next Step Substitute values of Variables

∴

Q = \frac{2 \cdot π \cdot 15mm \cdot (16 - \frac{2.1MPa}{10^{6}})}{0.0383mm} \cdot 7.7885mm³/s

Next Step Substitute values of Constants

∴

Q = \frac{2 \cdot 3.1416 \cdot 15mm \cdot (16 - \frac{2.1MPa}{10^{6}})}{0.0383mm} \cdot 7.7885mm³/s

Next Step Convert Units

∴

Q = \frac{2 \cdot 3.1416 \cdot 0.015m \cdot (16 - \frac{2.1E+6Pa}{10^{6}})}{3.8E-5m} \cdot 7.8E-9m³/s

Next Step Prepare to Evaluate

∴

Q = \frac{2 \cdot 3.1416 \cdot 0.015 \cdot (16 - \frac{2.1E+6}{10^{6}})}{3.8E-5} \cdot 7.8E-9

Next Step Evaluate

∴

Q = 0.000266669444054747m³/s

Next Step Convert to Output's Unit

∴

Q = 266669.444054747mm³/s

LAST Step Rounding Answer

∴

Q = 266669.4441mm³/s

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Formula Elements

Variables

Constants

Oil Flow From Bush Seal

Oil Flow From Bush Seal is the part of the fluid or the oil flowing through the sealing bush.

Symbol: Q

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Formulas to find Oil Flow From Bush Seal

Outer Radius of Plain Bush Seal

Outer Radius of Plain Bush Seal is defined as the distance from centre to the outer surface of the bush seal.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Plain Bush Seal

Minimum Percentage Compression

Minimum Percentage Compression is defined as the least percentage of compression.

Symbol: P_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Minimum Percentage Compression

Exit Pressure

Exit Pressure is the pressure at the exit or the output or the end of a pipe or a flow channel.

Symbol: P_e

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Exit Pressure

Depth of U Collar

The Depth of U Collar is the distance from the top or surface to the bottom of U collar.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of U Collar

Volumetric Flow Rate Per Unit Pressure

Volumetric Flow Rate Per Unit Pressure per unit periphery is the volume of fluid which passes per unit pressure.

Symbol: q

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Formulas to find Volumetric Flow Rate Per Unit Pressure

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Oil Flow From Bush Seal

Go Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{a - b} \cdot q

Go Amount of Leakage of Fluid through Face Seal

Q = \frac{π \cdot t^{3}}{6 \cdot ν \cdot \ln (\frac{r 2}{r 1})} \cdot (\frac{3 \cdot ρ \cdot ω^{2}}{20 \cdot [g]} \cdot ({r 2}^{2} - {r 1}^{2}) - P 2 - P i)

Other formulas in Leakage through Bush Seals category

Go Volumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{P s + P e}{P e}

Go Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{a - b}{a \cdot \ln (\frac{a}{b})}

Go Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid

q = \frac{c^{3}}{24 \cdot μ} \cdot \frac{a - b}{a} \cdot \frac{P s + P e}{P e}

Go Radial Pressure Distribution for Laminar Flow

p = P i + \frac{3 \cdot ρ \cdot ω^{2}}{20 \cdot [g]} \cdot (r^{2} - {r 1}^{2}) - \frac{6 \cdot ν}{π \cdot t^{3}} \cdot \ln (\frac{r}{R})

How to Evaluate Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition?

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition evaluator uses Oil Flow From Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Depth of U Collar)*Volumetric Flow Rate Per Unit Pressure to evaluate the Oil Flow From Bush Seal, The Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition formula is defined as a very thin fluid film holds the two seal faces apart from each other. By maintaining a micro-gap a leak path is created making it impossible for a mechanical seal to be totally leak-free. Oil Flow From Bush Seal is denoted by Q symbol.

How to evaluate Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition using this online evaluator? To use this online evaluator for Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition, enter Outer Radius of Plain Bush Seal (a), Minimum Percentage Compression (P_s), Exit Pressure (P_e), Depth of U Collar (l) & Volumetric Flow Rate Per Unit Pressure (q) and hit the calculate button.

FAQs on Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition

What is the formula to find Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition?

The formula of Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition is expressed as Oil Flow From Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Depth of U Collar)*Volumetric Flow Rate Per Unit Pressure. Here is an example- 3.6E+11 = (2*pi*0.015*(16-2100000/10^6))/(3.8262E-05)*7.788521E-09.

How to calculate Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition?

With Outer Radius of Plain Bush Seal (a), Minimum Percentage Compression (P_s), Exit Pressure (P_e), Depth of U Collar (l) & Volumetric Flow Rate Per Unit Pressure (q) we can find Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition using the formula - Oil Flow From Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Depth of U Collar)*Volumetric Flow Rate Per Unit Pressure. This formula also uses Archimedes' constant .

What are the other ways to Calculate Oil Flow From Bush Seal?

Here are the different ways to Calculate Oil Flow From Bush Seal-

Oil Flow From Bush Seal=(2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)*Volumetric Flow Rate Per Unit Pressure
Oil Flow From Bush Seal=(pi*Thickness of Fluid Between Members^3)/(6*Kinematic Viscosity of Bush Seal Fluid*ln(Outer Radius of Rotating Member Inside Bush Seal/Inner Radius of Rotating Member Inside Bush Seal))*((3*Seal Fluid Density*Rotational Speed of Shaft Inside Seal^2)/(20*[g])*(Outer Radius of Rotating Member Inside Bush Seal^2-Inner Radius of Rotating Member Inside Bush Seal^2)-Internal Hydraulic Pressure-Pressure at Seal Inside Radius)

Can the Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition be negative?

No, the Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition?

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition is usually measured using the Cubic Millimeter per Second[mm³/s] for Volumetric Flow Rate. Cubic Meter per Second[mm³/s], Cubic Meter per Day[mm³/s], Cubic Meter per Hour[mm³/s] are the few other units in which Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition can be measured.

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Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Formula

​GoOil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition Formula

​GoAmount of Leakage of Fluid through Face Seal Formula

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Example

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Solution

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition Formula Elements

Other Formulas to find Oil Flow From Bush Seal

Other formulas in Leakage through Bush Seals category

How to Evaluate Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition?

FAQs on Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition

Variable Name

GoOil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition Formula

GoAmount of Leakage of Fluid through Face Seal Formula