Amount of Leakage of Fluid through Face Seal Calculator

✖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.ⓘ Thickness of Fluid Between Members [t]			+10% -10%
✖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.ⓘ Kinematic Viscosity of Bush Seal Fluid [ν]			+10% -10%
✖Outer Radius of Rotating Member Inside Bush Seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.ⓘ Outer Radius of Rotating Member Inside Bush Seal [r₂]			+10% -10%
✖Inner Radius of Rotating Member Inside Bush Seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.ⓘ Inner Radius of Rotating Member Inside Bush Seal [r₁]			+10% -10%
✖Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal.ⓘ Seal Fluid Density [ρ]			+10% -10%
✖Rotational Speed of Shaft Inside Seal is the angular velocity of the shaft rotating inside a packing seal.ⓘ Rotational Speed of Shaft Inside Seal [ω]			+10% -10%
✖Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.ⓘ Internal Hydraulic Pressure [P₂]			+10% -10%
✖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.ⓘ Pressure at Seal Inside Radius [P_i]			+10% -10%

✖Oil Flow From Bush Seal is the part of the fluid or the oil flowing through the sealing bush.ⓘ Amount of Leakage of Fluid through Face Seal [Q]

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Formula

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Amount of Leakage of Fluid through Face Seal

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)

Example

259501.2 mm³/s = \frac{π \cdot {1.92 mm}^{3}}{6 \cdot 7.25 St \cdot \ln (\frac{20 mm}{14 mm})} \cdot (\frac{3 \cdot 1100 kg/m³ \cdot {75 rad/s}^{2}}{20 \cdot [g]} \cdot ({20 mm}^{2} - {14 mm}^{2}) - 1E-6 MPa - .0000002 MPa)

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Amount of Leakage of Fluid through Face Seal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q = (pi*t^3)/(6*ν*ln(r₂/r₁))*((3*ρ*ω^2)/(20*[g])*(r₂^2-r₁^2)-P₂-P_i)
This formula uses 2 Constants, 1 Functions, 9 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Oil Flow From Bush Seal - (Measured in Cubic Meter per Second) - Oil Flow From Bush Seal is the part of the fluid or the oil flowing through the sealing bush.
Thickness of Fluid Between Members - (Measured in Meter) - 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.
Kinematic Viscosity of Bush Seal Fluid - (Measured in Square Meter per Second) - 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.
Outer Radius of Rotating Member Inside Bush Seal - (Measured in Meter) - Outer Radius of Rotating Member Inside Bush Seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.
Inner Radius of Rotating Member Inside Bush Seal - (Measured in Meter) - Inner Radius of Rotating Member Inside Bush Seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.
Seal Fluid Density - (Measured in Kilogram per Cubic Meter) - Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal.
Rotational Speed of Shaft Inside Seal - (Measured in Radian per Second) - Rotational Speed of Shaft Inside Seal is the angular velocity of the shaft rotating inside a packing seal.
Internal Hydraulic Pressure - (Measured in Pascal) - Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.
Pressure at Seal Inside Radius - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Thickness of Fluid Between Members: 1.92 Millimeter --> 0.00192 Meter (Check conversion here)
Kinematic Viscosity of Bush Seal Fluid: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Outer Radius of Rotating Member Inside Bush Seal: 20 Millimeter --> 0.02 Meter (Check conversion here)
Inner Radius of Rotating Member Inside Bush Seal: 14 Millimeter --> 0.014 Meter (Check conversion here)
Seal Fluid Density: 1100 Kilogram per Cubic Meter --> 1100 Kilogram per Cubic Meter No Conversion Required
Rotational Speed of Shaft Inside Seal: 75 Radian per Second --> 75 Radian per Second No Conversion Required
Internal Hydraulic Pressure: 1E-06 Megapascal --> 1 Pascal (Check conversion here)
Pressure at Seal Inside Radius: 2E-07 Megapascal --> 0.2 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (pi*t^3)/(6*ν*ln(r₂/r₁))*((3*ρ*ω^2)/(20*[g])*(r₂^2-r₁^2)-P₂-P_i) --> (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)

Evaluating ... ...

Q = 0.000259501244733356

STEP 3: Convert Result to Output's Unit

0.000259501244733356 Cubic Meter per Second -->259501.244733356 Cubic Millimeter per Second (Check conversion here)

FINAL ANSWER

259501.244733356 ≈ 259501.2 Cubic Millimeter per Second <-- Oil Flow From Bush Seal

(Calculation completed in 00.004 seconds)

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< Leakage through Bush Seals Calculators

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

Go Volumetric Flow Rate Per Unit Pressure = (Radial Clearance For Seals^3)/(12*Absolute Viscosity of Oil in Seals)*(Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)/(Outer Radius of Plain Bush Seal*ln(Outer Radius of Plain Bush Seal/Inner Radius of Plain Bush Seal))

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

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

Go 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

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

Go Volumetric Flow Rate Per Unit Pressure = (Radial Clearance For Seals^3)/(12*Absolute Viscosity of Oil in Seals)*(Minimum Percentage Compression+Exit Pressure)/(Exit Pressure)

Amount of Leakage of Fluid through Face Seal Formula

What is face seal?

Face seal is a complete closure in which the surfaces to be sealed are normalized to the axis of said seal.

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

Amount of Leakage of Fluid through Face Seal calculator 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 calculate 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 calculate Amount of Leakage of Fluid through Face Seal using this online calculator? To use this online calculator 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. Here is how the Amount of Leakage of Fluid through Face Seal calculation can be explained with given input values -> -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).

FAQ

What is Amount of Leakage of Fluid through Face Seal?

The Amount of leakage of fluid through face seal formula is defined as discharge of fluid from face seal and is represented as Q = (pi*t^3)/(6*ν*ln(r₂/r₁))*((3*ρ*ω^2)/(20*[g])*(r₂^2-r₁^2)-P₂-P_i) or 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). 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, 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, Outer Radius of Rotating Member Inside Bush Seal is the radius of the outer surface of the shaft rotating inside a bushed packing 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, Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal, Rotational Speed of Shaft Inside Seal is the angular velocity of the shaft rotating inside a packing seal, Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity & 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.

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

The Amount of leakage of fluid through face seal formula is defined as discharge of fluid from face seal is calculated using 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 calculate Amount of Leakage of Fluid through Face Seal, you need 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). With our tool, you need to enter the respective value for Thickness of Fluid Between Members, Kinematic Viscosity of Bush Seal Fluid, Outer Radius of Rotating Member Inside Bush Seal, Inner Radius of Rotating Member Inside Bush Seal, Seal Fluid Density, Rotational Speed of Shaft Inside Seal, Internal Hydraulic Pressure & Pressure at Seal Inside Radius 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 Oil Flow From Bush Seal?

In this formula, Oil Flow From Bush Seal uses Thickness of Fluid Between Members, Kinematic Viscosity of Bush Seal Fluid, Outer Radius of Rotating Member Inside Bush Seal, Inner Radius of Rotating Member Inside Bush Seal, Seal Fluid Density, Rotational Speed of Shaft Inside Seal, Internal Hydraulic Pressure & Pressure at Seal Inside Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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