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 00.020 seconds)

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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)

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

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

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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