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Amount of Leakage of Fluid through Face Seal Formula

GoOil 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

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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{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)

Q - Oil Flow From Bush Seal?t - Thickness of Fluid Between Members?ν - Kinematic Viscosity of Bush Seal Fluid?r₂ - Outer Radius of Rotating Member Inside Bush Seal?r₁ - Inner Radius of Rotating Member Inside Bush Seal?ρ - Seal Fluid Density?ω - Rotational Speed of Shaft Inside Seal?P₂ - Internal Hydraulic Pressure?P_i - Pressure at Seal Inside Radius?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Amount of Leakage of Fluid through Face Seal Example

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Here is how the Amount of Leakage of Fluid through Face Seal equation looks like with Values.

Here is how the Amount of Leakage of Fluid through Face Seal equation looks like with Units.

Here is how the Amount of Leakage of Fluid through Face Seal equation looks like.

259501.2447 = \frac{3.1416 \cdot {1.92}^{3}}{6 \cdot 7.25 \cdot \ln (\frac{20}{14})} \cdot (\frac{3 \cdot 1100 \cdot 75^{2}}{20 \cdot 9.8066} \cdot (20^{2} - 14^{2}) - 1E-6 - 2E-7)

259501.2447mm³/s = \frac{3.1416 \cdot {1.92mm}^{3}}{6 \cdot 7.25St \cdot \ln (\frac{20mm}{14mm})} \cdot (\frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20 \cdot 9.8066m/s²} \cdot ({20mm}^{2} - {14mm}^{2}) - 1E-6MPa - 2E-7MPa)

259501.2447 = \frac{3.1416 \cdot {1.92}^{3}}{6 \cdot 7.25 \cdot \ln (\frac{20}{14})} \cdot (\frac{3 \cdot 1100 \cdot 75^{2}}{20 \cdot 9.8066} \cdot (20^{2} - 14^{2}) - 1E-6 - 2E-7)

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Amount of Leakage of Fluid through Face Seal Solution

Follow our step by step solution on how to calculate Amount of Leakage of Fluid through Face Seal?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

Q = \frac{π \cdot {1.92mm}^{3}}{6 \cdot 7.25St \cdot \ln (\frac{20mm}{14mm})} \cdot (\frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20 \cdot [g]} \cdot ({20mm}^{2} - {14mm}^{2}) - 1E-6MPa - 2E-7MPa)

Next Step Substitute values of Constants

∴

Q = \frac{3.1416 \cdot {1.92mm}^{3}}{6 \cdot 7.25St \cdot \ln (\frac{20mm}{14mm})} \cdot (\frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20 \cdot 9.8066m/s²} \cdot ({20mm}^{2} - {14mm}^{2}) - 1E-6MPa - 2E-7MPa)

Next Step Convert Units

∴

Q = \frac{3.1416 \cdot {0.0019m}^{3}}{6 \cdot 0.0007m²/s \cdot \ln (\frac{0.02m}{0.014m})} \cdot (\frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20 \cdot 9.8066m/s²} \cdot ({0.02m}^{2} - {0.014m}^{2}) - 1Pa - 0.2Pa)

Next Step Prepare to Evaluate

∴

Q = \frac{3.1416 \cdot {0.0019}^{3}}{6 \cdot 0.0007 \cdot \ln (\frac{0.02}{0.014})} \cdot (\frac{3 \cdot 1100 \cdot 75^{2}}{20 \cdot 9.8066} \cdot ({0.02}^{2} - {0.014}^{2}) - 1 - 0.2)

Next Step Evaluate

∴

Q = 0.000259501244733356m³/s

Next Step Convert to Output's Unit

∴

Q = 259501.244733356mm³/s

LAST Step Rounding Answer

∴

Q = 259501.2447mm³/s

Amount of Leakage of Fluid through Face Seal Formula Elements

Variables

Constants

Functions

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

Thickness of Fluid Between Members

Thickness of Fluid Between Members refers to how resistant a fluid is to moving through it. For example, Water has a low or "thin" viscosity, while honey has a "thick" or high viscosity.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Fluid Between Members

Kinematic Viscosity of Bush Seal Fluid

Kinematic Viscosity of Bush Seal Fluid is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity of Bush Seal Fluid

Outer Radius of Rotating Member Inside Bush Seal

Outer Radius of Rotating Member Inside Bush Seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.

Symbol: r₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Rotating Member Inside Bush Seal

Inner Radius of Rotating Member Inside Bush Seal

Inner Radius of Rotating Member Inside Bush Seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.

Symbol: r₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Radius of Rotating Member Inside Bush Seal

Seal Fluid Density

Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Seal Fluid Density

Rotational Speed of Shaft Inside Seal

Rotational Speed of Shaft Inside Seal is the angular velocity of the shaft rotating inside a packing seal.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Rotational Speed of Shaft Inside Seal

Internal Hydraulic Pressure

Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.

Symbol: P₂

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Internal Hydraulic Pressure

Pressure at Seal Inside Radius

Pressure at Seal Inside Radius is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Pressure at Seal Inside Radius

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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

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 to find Oil Flow From Bush Seal

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

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

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

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})}

How to Evaluate Amount of Leakage of Fluid through Face Seal?

Amount of Leakage of Fluid through Face Seal evaluator uses 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) to evaluate the Oil Flow From Bush Seal, The Amount of leakage of fluid through face seal formula is defined as discharge of fluid from face seal. Oil Flow From Bush Seal is denoted by Q symbol.

How to evaluate Amount of Leakage of Fluid through Face Seal using this online evaluator? To use this online evaluator for Amount of Leakage of Fluid through Face Seal, enter Thickness of Fluid Between Members (t), Kinematic Viscosity of Bush Seal Fluid (ν), Outer Radius of Rotating Member Inside Bush Seal (r₂), Inner Radius of Rotating Member Inside Bush Seal (r₁), Seal Fluid Density (ρ), Rotational Speed of Shaft Inside Seal (ω), Internal Hydraulic Pressure (P₂) & Pressure at Seal Inside Radius (P_i) and hit the calculate button.

FAQs on Amount of Leakage of Fluid through Face Seal

What is the formula to find Amount of Leakage of Fluid through Face Seal?

The formula of Amount of Leakage of Fluid through Face Seal is expressed as 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). Here is an example- -2.7E+18 = (pi*0.00192^3)/(6*0.000725*ln(0.02/0.014))*((3*1100*75^2)/(20*[g])*(0.02^2-0.014^2)-1-0.2).

How to calculate Amount of Leakage of Fluid through Face Seal?

With Thickness of Fluid Between Members (t), Kinematic Viscosity of Bush Seal Fluid (ν), Outer Radius of Rotating Member Inside Bush Seal (r₂), Inner Radius of Rotating Member Inside Bush Seal (r₁), Seal Fluid Density (ρ), Rotational Speed of Shaft Inside Seal (ω), Internal Hydraulic Pressure (P₂) & Pressure at Seal Inside Radius (P_i) we can find Amount of Leakage of Fluid through Face Seal using the formula - 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). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Natural Logarithm (ln) function(s).

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))/(Depth of U Collar)*Volumetric Flow Rate Per Unit Pressure
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

Can the Amount of Leakage of Fluid through Face Seal be negative?

No, the Amount of Leakage of Fluid through Face Seal, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Amount of Leakage of Fluid through Face Seal?

Amount of Leakage of Fluid through Face Seal 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 Amount of Leakage of Fluid through Face Seal can be measured.

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Amount of Leakage of Fluid through Face Seal Formula

​GoOil 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

Amount of Leakage of Fluid through Face Seal Example

Amount of Leakage of Fluid through Face Seal Solution

Amount of Leakage of Fluid through Face Seal Formula Elements

Other Formulas to find Oil Flow From Bush Seal

Other formulas in Leakage through Bush Seals category

How to Evaluate Amount of Leakage of Fluid through Face Seal?

FAQs on Amount of Leakage of Fluid through Face Seal

Variable Name

GoOil 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