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/(μl*ns))
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/(μl*ns)) --> 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 00.019 seconds)

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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6 Radial Clearance Calculators

Radial Clearance in Terms of Sommerfeld Number of Bearing
Go 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))
Radial Clearance of Bearing in Terms of Flow Variable
Go Radial clearance for bearing = 2*pi*Flow of Lubricant into Clearance Space/(Radius of Journal*Flow Variable*Journal Speed*Axial Length of Bearing)
Radial Clearance in Terms of Eccentricity Ratio and Minimum Film Thickness of Bearing
Go Radial clearance for bearing = Minimum Film Thickness/(1-Eccentricity Ratio of Journal Bearing)
Radial Clearance of Bearing in Terms of Eccentricity and Clearance
Go Radial clearance for bearing = Eccentricity in bearing/Eccentricity Ratio of Journal Bearing
Radial Clearance in Terms of Minimum Film Thickness Variable of Bearing
Go Radial clearance for bearing = Minimum Film Thickness/Minimum Film Thickness Variable
Radial Clearance of Bearing in Terms of Radius of Bearing and Journal
Go Radial clearance for bearing = Radius of Bearing-Radius of Journal

Radial Clearance in Terms of Sommerfeld Number of Bearing Formula

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/(μl*ns))

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 l) & Journal Speed (ns) 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/(μl*ns)) 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 l) & Journal Speed (ns). 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 5 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
  • Radial clearance for bearing = Minimum Film Thickness/(1-Eccentricity Ratio of Journal Bearing)
  • Radial clearance for bearing = 2*pi*Flow of Lubricant into Clearance Space/(Radius of Journal*Flow Variable*Journal Speed*Axial Length of Bearing)
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