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

STEP 0: Pre-Calculation Summary
Formula Used
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
Q = (2*pi*a*(Ps-Pe/10^6))/(a-b)*q
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Outer Radius of Plain Bush Seal - (Measured in Meter) - Outer Radius of Plain Bush Seal is defined as the distance from centre to the outer surface of the bush seal.
Minimum Percentage Compression - Minimum Percentage Compression is defined as the least percentage of compression.
Exit Pressure - (Measured in Pascal) - Exit Pressure is the pressure at the exit or the output or the end of a pipe or a flow channel.
Inner Radius of Plain Bush Seal - (Measured in Meter) - Inner Radius of Plain Bush Seal is defined as the distance from centre to inner surface of the bush seal.
Volumetric Flow Rate Per Unit Pressure - (Measured in Cubic Meter per Second) - Volumetric Flow Rate Per Unit Pressure per unit periphery is the volume of fluid which passes per unit pressure.
STEP 1: Convert Input(s) to Base Unit
Outer Radius of Plain Bush Seal: 15 Millimeter --> 0.015 Meter (Check conversion ​here)
Minimum Percentage Compression: 16 --> No Conversion Required
Exit Pressure: 2.1 Megapascal --> 2100000 Pascal (Check conversion ​here)
Inner Radius of Plain Bush Seal: 4.2 Millimeter --> 0.0042 Meter (Check conversion ​here)
Volumetric Flow Rate Per Unit Pressure: 7.788521 Cubic Millimeter per Second --> 7.788521E-09 Cubic Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2*pi*a*(Ps-Pe/10^6))/(a-b)*q --> (2*pi*0.015*(16-2100000/10^6))/(0.015-0.0042)*7.788521E-09
Evaluating ... ...
Q = 9.44750580409513E-07
STEP 3: Convert Result to Output's Unit
9.44750580409513E-07 Cubic Meter per Second -->944.750580409513 Cubic Millimeter per Second (Check conversion ​here)
FINAL ANSWER
944.750580409513 944.7506 Cubic Millimeter per Second <-- Oil Flow From Bush Seal
(Calculation completed in 00.020 seconds)

Credits

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Created by sanjay shiva
national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
sanjay shiva has created this Calculator and 100+ more calculators!
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Leakage through Bush Seals Calculators

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

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

​LaTeX ​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
Q = (2*pi*a*(Ps-Pe/10^6))/(a-b)*q

What is bush seal?

Bush seal is a usually removable cylindrical lining for an opening (as of a mechanical part) used to limit the size of the opening, resist abrasion, or serve as a guide.

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

Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition calculator uses 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 to calculate the Oil Flow From Bush Seal, The Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition formula is defined as a very thin fluid film holding 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 calculate Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition using this online calculator? To use this online calculator for Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition, enter Outer Radius of Plain Bush Seal (a), Minimum Percentage Compression (Ps), Exit Pressure (Pe), Inner Radius of Plain Bush Seal (b) & Volumetric Flow Rate Per Unit Pressure (q) and hit the calculate button. Here is how the Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition calculation can be explained with given input values -> 2.2E+10 = (2*pi*0.015*(16-2100000/10^6))/(0.015-0.0042)*7.788521E-09.

FAQ

What is Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition?
The Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition formula is defined as a very thin fluid film holding 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 and is represented as Q = (2*pi*a*(Ps-Pe/10^6))/(a-b)*q or 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. Outer Radius of Plain Bush Seal is defined as the distance from centre to the outer surface of the bush seal, Minimum Percentage Compression is defined as the least percentage of compression, Exit Pressure is the pressure at the exit or the output or the end of a pipe or a flow channel, Inner Radius of Plain Bush Seal is defined as the distance from centre to inner surface of the bush seal & Volumetric Flow Rate Per Unit Pressure per unit periphery is the volume of fluid which passes per unit pressure.
How to calculate Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition?
The Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition formula is defined as a very thin fluid film holding 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 is calculated using 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. To calculate Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition, you need Outer Radius of Plain Bush Seal (a), Minimum Percentage Compression (Ps), Exit Pressure (Pe), Inner Radius of Plain Bush Seal (b) & Volumetric Flow Rate Per Unit Pressure (q). With our tool, you need to enter the respective value for Outer Radius of Plain Bush Seal, Minimum Percentage Compression, Exit Pressure, Inner Radius of Plain Bush Seal & Volumetric Flow Rate Per Unit Pressure 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 Outer Radius of Plain Bush Seal, Minimum Percentage Compression, Exit Pressure, Inner Radius of Plain Bush Seal & Volumetric Flow Rate Per Unit Pressure. 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 = (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)
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