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

✖Radial Clearance for Seals is a measured value of the total clearance in the seal used.ⓘ Radial Clearance for Seals [c]			+10% -10%
✖The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance.ⓘ Absolute Viscosity of Oil in Seals [μ]			+10% -10%
✖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%
✖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 under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid [q]

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Formula

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

Formula

`"q" = ("c"^3)/(12*"μ")*("a"-"b")/("a"*ln("a"/"b"))`

Example

`"4.405219mm³/s"=(("0.9mm")^3)/(12*"7.8cP")*("15mm"-"4.2mm")/("15mm"*ln("15mm"/"4.2mm"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
q = (c^3)/(12*μ)*(a-b)/(a*ln(a/b))
This formula uses 1 Functions, 5 Variables

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

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.
Radial Clearance for Seals - (Measured in Meter) - Radial Clearance for Seals is a measured value of the total clearance in the seal used.
Absolute Viscosity of Oil in Seals - (Measured in Pascal Second) - The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Radial Clearance for Seals: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Absolute Viscosity of Oil in Seals: 7.8 Centipoise --> 0.0078 Pascal Second (Check conversion here)
Outer Radius of Plain Bush Seal: 15 Millimeter --> 0.015 Meter (Check conversion here)
Inner Radius of Plain Bush Seal: 4.2 Millimeter --> 0.0042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (c^3)/(12*μ)*(a-b)/(a*ln(a/b)) --> (0.0009^3)/(12*0.0078)*(0.015-0.0042)/(0.015*ln(0.015/0.0042))

Evaluating ... ...

q = 4.40521878495377E-09

STEP 3: Convert Result to Output's Unit

4.40521878495377E-09 Cubic Meter per Second -->4.40521878495377 Cubic Millimeter per Second (Check conversion here)

FINAL ANSWER

4.40521878495377 ≈ 4.405219 Cubic Millimeter per Second <-- Volumetric Flow Rate per Unit Pressure

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Leakage through Bush Seals » Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid

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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

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

What is incompressible fluid?

Incompressible fluid is the fluid whose density doesn't vary in any sort of flow is considered as incompressible fluid.

How to Calculate Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid?

Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid calculator uses 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)) to calculate the Volumetric Flow Rate per Unit Pressure, The Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid formula is defined as the volume of fluid that passes per unit pressure. Volumetric Flow Rate per Unit Pressure is denoted by q symbol.

How to calculate Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid using this online calculator? To use this online calculator for Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid, enter Radial Clearance for Seals (c), Absolute Viscosity of Oil in Seals (μ), Outer Radius of Plain Bush Seal (a) & Inner Radius of Plain Bush Seal (b) and hit the calculate button. Here is how the Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid calculation can be explained with given input values -> 4.4E+9 = (0.0009^3)/(12*0.0078)*(0.015-0.0042)/(0.015*ln(0.015/0.0042)).

FAQ

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

The Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid formula is defined as the volume of fluid that passes per unit pressure and is represented as q = (c^3)/(12*μ)*(a-b)/(a*ln(a/b)) or 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)). Radial Clearance for Seals is a measured value of the total clearance in the seal used, The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance, Outer Radius of Plain Bush Seal is defined as the distance from centre to the outer surface of the bush seal & Inner Radius of Plain Bush Seal is defined as the distance from centre to inner surface of the bush seal.

How to calculate Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid?

The Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid formula is defined as the volume of fluid that passes per unit pressure is calculated using 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)). To calculate Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid, you need Radial Clearance for Seals (c), Absolute Viscosity of Oil in Seals (μ), Outer Radius of Plain Bush Seal (a) & Inner Radius of Plain Bush Seal (b). With our tool, you need to enter the respective value for Radial Clearance for Seals, Absolute Viscosity of Oil in Seals, Outer Radius of Plain Bush Seal & Inner Radius of Plain Bush Seal 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 Volumetric Flow Rate per Unit Pressure?

In this formula, Volumetric Flow Rate per Unit Pressure uses Radial Clearance for Seals, Absolute Viscosity of Oil in Seals, Outer Radius of Plain Bush Seal & Inner Radius of Plain Bush Seal. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)
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))

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