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-Pi)
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) - The 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: 5 Pascal --> 5 Pascal No Conversion Required
Pressure at Seal Inside Radius: 2 Pascal --> 2 Pascal No Conversion Required
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-Pi) --> (pi*0.00192^3)/(6*0.000725*ln(0.02/0.014))*((3*1100*75^2)/(20*[g])*(0.02^2-0.014^2)-5-2)
Evaluating ... ...
Q = 0.00017637853474544
STEP 3: Convert Result to Output's Unit
0.00017637853474544 Cubic Meter per Second -->176378.53474544 Cubic Millimeter per Second (Check conversion here)
FINAL ANSWER
176378.53474544 176378.5 Cubic Millimeter per Second <-- Oil Flow from Bush Seal
(Calculation completed in 00.004 seconds)

Credits

Created by sanjay shiva
national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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17 Leakage through Bush Seals Calculators

Amount of Leakage of Fluid through Face Seal
Go 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)
Radial Pressure Distribution for Laminar Flow
Go Pressure at Radial Position for Bush Seal = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/(20*[g])*(Radial Position in Bush Seal^2-Inner Radius of Rotating Member inside Bush Seal^2)-(6*Kinematic viscosity of bush seal fluid)/(pi*Thickness of Fluid between Members^3)*ln(Radial Position in Bush Seal/Radius of rotating member inside bush seal)
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))
Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid
Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(24*Absolute Viscosity of Oil in Seals)*((Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)/(Outer Radius of Plain Bush Seal))*((Minimum Percentage Compression+Exit Pressure)/(Exit Pressure))
Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal
Go Outer Radius of rotating member inside bush seal = (Power loss for seal/(((pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Thickness of Fluid between Members)))+Inner Radius of Rotating Member inside Bush Seal^4)^(1/4)
Thickness of Fluid between Members given Power Loss due to Leakage of Fluid through Face Seal
Go Thickness of Fluid between Members = (pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Power loss for seal)*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4)
Kinematic Viscosity given Power Loss due to Leakage of Fluid through Face Seal
Go Kinematic viscosity of bush seal fluid = (13200*Power loss for seal*Thickness of Fluid between Members)/(pi*Nominal Packing Cross-section of Bush Seal^2*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4))
Power Loss or Consumption due to Leakage of Fluid through Face Seal
Go Power loss for seal = (pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Thickness of Fluid between Members)*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4)
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
Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal
Go Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000
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)
Thickness of Fluid between Members given Shape Factor
Go Thickness of Fluid between Members = (Outside Diameter of Packing Gasket-Inside Diameter of Packing Gasket)/(4*Shape Factor for Circular Gasket)
Shape Factor for Circular or Annular Gasket
Go Shape Factor for Circular Gasket = (Outside Diameter of Packing Gasket-Inside Diameter of Packing Gasket)/(4*Thickness of Fluid between Members)
Outside Diameter of Gasket given Shape Factor
Go Outside Diameter of Packing Gasket = Inside Diameter of Packing Gasket+4*Thickness of Fluid between Members*Shape Factor for Circular Gasket
Inside Diameter of Gasket given Shape Factor
Go Inside Diameter of Packing Gasket = Outside Diameter of Packing Gasket-4*Thickness of Fluid between Members*Shape Factor for Circular Gasket
Volumetric Efficiency of Reciprocating Compressor
Go Volumetric Efficiency = Actual volume/Piston Swept Volume

Amount of Leakage of Fluid through Face Seal 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)
Q = (pi*t^3)/(6*ν*ln(r2/r1))*((3*ρ*ω^2)/(20*[g])*(r2^2-r1^2)-P2-Pi)

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 (Pi) 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 -> 1.8E+14 = (pi*0.00192^3)/(6*0.000725*ln(0.02/0.014))*((3*1100*75^2)/(20*[g])*(0.02^2-0.014^2)-5-2).

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-Pi) 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). The 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 (Pi). 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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