Radial Clearance in Terms of Sommerfeld Number of Bearing Calculator

✖The Radius of Journal is the radius of the journal (which rotates freely in a supporting metal sleeve or shell).ⓘ Radius of Journal [r]			+10% -10%
✖Sommerfeld Number of Journal Bearing is a dimensionless number that is used in designing a hydrodynamic bearing.ⓘ Sommerfeld Number of Journal Bearing [S]			+10% -10%
✖Unit bearing pressure for bearing is the average pressure acting on the contact surface of the bearing.ⓘ Unit bearing pressure for bearing [p]			+10% -10%
✖The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.ⓘ Dynamic Viscosity of Lubricant [μ_l]			+10% -10%
✖The Journal Speed Value is defined as the speed of the journal of a bearing.ⓘ Journal Speed [n_s]			+10% -10%

✖Radial clearance for bearing is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis.ⓘ Radial Clearance in Terms of Sommerfeld Number of Bearing [c]

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Radial Clearance in Terms of Sommerfeld Number of Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed))
c = r/sqrt(2*pi*S*p/(μ_l*n_s))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radial clearance for bearing - (Measured in Meter) - Radial clearance for bearing is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis.
Radius of Journal - (Measured in Meter) - The Radius of Journal is the radius of the journal (which rotates freely in a supporting metal sleeve or shell).
Sommerfeld Number of Journal Bearing - Sommerfeld Number of Journal Bearing is a dimensionless number that is used in designing a hydrodynamic bearing.
Unit bearing pressure for bearing - (Measured in Pascal) - Unit bearing pressure for bearing is the average pressure acting on the contact surface of the bearing.
Dynamic Viscosity of Lubricant - (Measured in Pascal Second) - The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.
Journal Speed - (Measured in Radian per Second) - The Journal Speed Value is defined as the speed of the journal of a bearing.

STEP 1: Convert Input(s) to Base Unit

Radius of Journal: 25.5 Millimeter --> 0.0255 Meter (Check conversion here)
Sommerfeld Number of Journal Bearing: 2.58 --> No Conversion Required
Unit bearing pressure for bearing: 0.96 Megapascal --> 960000 Pascal (Check conversion here)
Dynamic Viscosity of Lubricant: 220 Centipoise --> 0.22 Pascal Second (Check conversion here)
Journal Speed: 10 Revolution per Second --> 62.8318530685963 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = r/sqrt(2*pi*S*p/(μ_l*n_s)) --> 0.0255/sqrt(2*pi*2.58*960000/(0.22*62.8318530685963))

Evaluating ... ...

c = 2.40328929143175E-05

STEP 3: Convert Result to Output's Unit

2.40328929143175E-05 Meter -->0.0240328929143175 Millimeter (Check conversion here)

FINAL ANSWER

0.0240328929143175 ≈ 0.024033 Millimeter <-- Radial clearance for bearing

(Calculation completed in 00.004 seconds)

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Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Radial Clearance Calculators

Eccentricity Ratio of Bearing in Terms of Radial Clearance and Eccentricity

LaTeX Go Eccentricity Ratio of Journal Bearing = Eccentricity in bearing/Radial clearance for bearing

Eccentricity of Bearing in Terms of Radial Clearance and Eccentricity

LaTeX Go Eccentricity in bearing = Radial clearance for bearing*Eccentricity Ratio of Journal Bearing

Radial Clearance of Bearing in Terms of Eccentricity and Clearance

LaTeX Go Radial clearance for bearing = Eccentricity in bearing/Eccentricity Ratio of Journal Bearing

Radial Clearance of Bearing in Terms of Radius of Bearing and Journal

LaTeX Go Radial clearance for bearing = Radius of Bearing-Radius of Journal

Radial Clearance in Terms of Sommerfeld Number of Bearing Formula

LaTeX Go

What is Sliding Contact Bearing?

The sliding contact bearings in which the sliding action is along the circumference of a circle or an arc of a circle and carrying radial loads are known as journal or sleeve bearings.

How to Calculate Radial Clearance in Terms of Sommerfeld Number of Bearing?

Radial Clearance in Terms of Sommerfeld Number of Bearing calculator uses Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed)) to calculate the Radial clearance for bearing, The Radial Clearance in Terms of Sommerfeld Number of Bearing formula is defined as the ratio of radius of journal to the square root of the ratio of the product of Sommerfeld number and unit bearing pressure to the product of viscosity and journal speed. Radial clearance for bearing is denoted by c symbol.

How to calculate Radial Clearance in Terms of Sommerfeld Number of Bearing using this online calculator? To use this online calculator for Radial Clearance in Terms of Sommerfeld Number of Bearing, enter Radius of Journal (r), Sommerfeld Number of Journal Bearing (S), Unit bearing pressure for bearing (p), Dynamic Viscosity of Lubricant (μ_l) & Journal Speed (n_s) and hit the calculate button. Here is how the Radial Clearance in Terms of Sommerfeld Number of Bearing calculation can be explained with given input values -> 24.03289 = 0.0255/sqrt(2*pi*2.58*960000/(0.22*62.8318530685963)).

FAQ

What is Radial Clearance in Terms of Sommerfeld Number of Bearing?

The Radial Clearance in Terms of Sommerfeld Number of Bearing formula is defined as the ratio of radius of journal to the square root of the ratio of the product of Sommerfeld number and unit bearing pressure to the product of viscosity and journal speed and is represented as c = r/sqrt(2*pi*S*p/(μ_l*n_s)) or Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed)). The Radius of Journal is the radius of the journal (which rotates freely in a supporting metal sleeve or shell), Sommerfeld Number of Journal Bearing is a dimensionless number that is used in designing a hydrodynamic bearing, Unit bearing pressure for bearing is the average pressure acting on the contact surface of the bearing, The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another & The Journal Speed Value is defined as the speed of the journal of a bearing.

How to calculate Radial Clearance in Terms of Sommerfeld Number of Bearing?

The Radial Clearance in Terms of Sommerfeld Number of Bearing formula is defined as the ratio of radius of journal to the square root of the ratio of the product of Sommerfeld number and unit bearing pressure to the product of viscosity and journal speed is calculated using Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed)). To calculate Radial Clearance in Terms of Sommerfeld Number of Bearing, you need Radius of Journal (r), Sommerfeld Number of Journal Bearing (S), Unit bearing pressure for bearing (p), Dynamic Viscosity of Lubricant (μ_l) & Journal Speed (n_s). With our tool, you need to enter the respective value for Radius of Journal, Sommerfeld Number of Journal Bearing, Unit bearing pressure for bearing, Dynamic Viscosity of Lubricant & Journal Speed 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 Radial clearance for bearing?

In this formula, Radial clearance for bearing uses Radius of Journal, Sommerfeld Number of Journal Bearing, Unit bearing pressure for bearing, Dynamic Viscosity of Lubricant & Journal Speed. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial clearance for bearing = Radius of Bearing-Radius of Journal
Radial clearance for bearing = Eccentricity in bearing/Eccentricity Ratio of Journal Bearing
Radial clearance for bearing = Minimum Film Thickness/Minimum Film Thickness Variable

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