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

GoVolumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid Formula

GoVolumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid Formula

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Volumetric Flow Rate Per Unit Pressure per unit periphery is the volume of fluid which passes per unit pressure. Check FAQs

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{a - b}{a \cdot \ln (\frac{a}{b})}

q - Volumetric Flow Rate Per Unit Pressure?c - Radial Clearance For Seals?μ - Absolute Viscosity of Oil in Seals?a - Outer Radius of Plain Bush Seal?b - Inner Radius of Plain Bush Seal?

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

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Here is how the Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid equation looks like with Values.

Here is how the Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid equation looks like with Units.

Here is how the Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid equation looks like.

4.4052 = \frac{{0.9}^{3}}{12 \cdot 7.8} \cdot \frac{15 - 4.2}{15 \cdot \ln (\frac{15}{4.2})}

4.4052mm³/s = \frac{{0.9mm}^{3}}{12 \cdot 7.8cP} \cdot \frac{15mm - 4.2mm}{15mm \cdot \ln (\frac{15mm}{4.2mm})}

4.4052 = \frac{{0.9}^{3}}{12 \cdot 7.8} \cdot \frac{15 - 4.2}{15 \cdot \ln (\frac{15}{4.2})}

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Design of Machine Elements » fx 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 Solution

Follow our step by step solution on how to calculate Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid?

FIRST Step Consider the formula

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{a - b}{a \cdot \ln (\frac{a}{b})}

Next Step Substitute values of Variables

∴

q = \frac{{0.9mm}^{3}}{12 \cdot 7.8cP} \cdot \frac{15mm - 4.2mm}{15mm \cdot \ln (\frac{15mm}{4.2mm})}

Next Step Convert Units

∴

q = \frac{{0.0009m}^{3}}{12 \cdot 0.0078Pa*s} \cdot \frac{0.015m - 0.0042m}{0.015m \cdot \ln (\frac{0.015m}{0.0042m})}

Next Step Prepare to Evaluate

∴

q = \frac{{0.0009}^{3}}{12 \cdot 0.0078} \cdot \frac{0.015 - 0.0042}{0.015 \cdot \ln (\frac{0.015}{0.0042})}

Next Step Evaluate

∴

q = 4.40521878495377E-09m³/s

Next Step Convert to Output's Unit

∴

q = 4.40521878495377mm³/s

LAST Step Rounding Answer

∴

q = 4.4052mm³/s

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

Variables

Functions

Volumetric Flow Rate Per Unit Pressure

Volumetric Flow Rate Per Unit Pressure per unit periphery is the volume of fluid which passes per unit pressure.

Symbol: q

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Formulas to find Volumetric Flow Rate Per Unit Pressure

Radial Clearance For Seals

Radial Clearance For Seals is a measured value of the total clearance in the seal used.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radial Clearance For Seals

Absolute Viscosity of Oil in Seals

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.

Symbol: μ

Measurement: Dynamic ViscosityUnit: cP

Note: Value should be greater than 0.

Formulas to find Absolute Viscosity of Oil in Seals

Outer Radius of Plain Bush Seal

Outer Radius of Plain Bush Seal is defined as the distance from centre to the outer surface of the bush seal.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Plain Bush Seal

Inner Radius of Plain Bush Seal

Inner Radius of Plain Bush Seal is defined as the distance from centre to inner surface of the bush seal.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Radius of Plain Bush Seal

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Volumetric Flow Rate Per Unit Pressure

Go Volumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{P s + P e}{P e}

Go Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid

q = \frac{c^{3}}{24 \cdot μ} \cdot \frac{a - b}{a} \cdot \frac{P s + P e}{P e}

Other formulas in Leakage through Bush Seals category

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

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{l} \cdot q

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

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{a - b} \cdot q

Go Radial Pressure Distribution for Laminar Flow

p = P i + \frac{3 \cdot ρ \cdot ω^{2}}{20 \cdot [g]} \cdot (r^{2} - {r 1}^{2}) - \frac{6 \cdot ν}{π \cdot t^{3}} \cdot \ln (\frac{r}{R})

Go Amount of Leakage of Fluid through Face Seal

Q = \frac{π \cdot t^{3}}{6 \cdot ν \cdot \ln (\frac{r 2}{r 1})} \cdot (\frac{3 \cdot ρ \cdot ω^{2}}{20 \cdot [g]} \cdot ({r 2}^{2} - {r 1}^{2}) - P 2 - P i)

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid?

The formula of Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid is expressed as 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)). Here is an example- 4.4E+9 = (0.0009^3)/(12*0.0078)*(0.015-0.0042)/(0.015*ln(0.015/0.0042)).

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

With 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) we can find Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid using the formula - 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)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Volumetric Flow Rate Per Unit Pressure?

Here are the different ways to Calculate Volumetric Flow Rate Per Unit Pressure-

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)

Can the Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid be negative?

No, the Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure 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 is usually measured using the Cubic Millimeter per Second[mm³/s] for Volumetric Flow Rate. Cubic Meter per Second[mm³/s], Cubic Meter per Day[mm³/s], Cubic Meter per Hour[mm³/s] are the few other units in which Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid can be measured.

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

​GoVolumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid Formula

​GoVolumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid Formula

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

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

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

Other Formulas to find Volumetric Flow Rate Per Unit Pressure

Other formulas in Leakage through Bush Seals category

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

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

Variable Name

GoVolumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid Formula

GoVolumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid Formula