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

✖Outer Radius of Plain Bush Seal is defined as the distance from centre to the outer surface of the bush seal.ⓘ Outer Radius of Plain Bush Seal [a]			+10% -10%
✖Minimum Percentage Compression is defined as the least percentage of compression.ⓘ Minimum Percentage Compression [P_s]			+10% -10%
✖Exit Pressure is the pressure at the exit or the output or the end of a pipe or a flow channel.ⓘ Exit Pressure [P_exit]			+10% -10%
✖Inner Radius of Plain Bush Seal is defined as the distance from centre to inner surface of the bush seal.ⓘ Inner Radius of Plain Bush Seal [b]			+10% -10%
✖Volumetric Flow Rate per Unit Pressure per unit periphery is the volume of fluid which passes per unit pressure.ⓘ Volumetric Flow Rate per Unit Pressure [q]			+10% -10%

✖Oil Flow from Bush Seal is the part of the fluid or the oil flowing through the sealing bush.ⓘ Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition [Q]

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Formula

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

Formula

`"Q" = (2*pi*"a"*("P"_{"s"}-"P"_{"exit"}/10^6))/("a"-"b")*"q"`

Example

`"21.83407mm³/s"=(2*pi*"15mm"*("16"-"2.1MPa"/10^6))/("15mm"-"4.2mm")*"0.18mm³/s"`

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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*(P_s-P_exit/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: 0.18 Cubic Millimeter per Second --> 1.8E-10 Cubic Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (2*pi*a*(P_s-P_exit/10^6))/(a-b)*q --> (2*pi*0.015*(16-2100000/10^6))/(0.015-0.0042)*1.8E-10

Evaluating ... ...

Q = 2.18340689424491E-08

STEP 3: Convert Result to Output's Unit

2.18340689424491E-08 Cubic Meter per Second -->21.8340689424491 Cubic Millimeter per Second (Check conversion here)

FINAL ANSWER

21.8340689424491 ≈ 21.83407 Cubic Millimeter per Second <-- Oil Flow from Bush Seal

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Leakage through Bush Seals » Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition

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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

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

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 (P_s), Exit Pressure (P_exit), 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)*1.8E-10.

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*(P_s-P_exit/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 (P_s), Exit Pressure (P_exit), 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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