Journal Speed in Terms of Sommerfeld Number of Bearing Calculator

✖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 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%
✖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 for bearing [c]			+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 in Terms of Sommerfeld Number of Bearing [n_s]

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Journal Speed in Terms of Sommerfeld Number of Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Journal Speed - (Measured in Radian per Second) - The Journal Speed Value is defined as the speed of the journal of a bearing.
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.
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).
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.
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.

STEP 1: Convert Input(s) to Base Unit

Sommerfeld Number of Journal Bearing: 2.58 --> No Conversion Required
Unit bearing pressure for bearing: 0.96 Megapascal --> 960000 Pascal (Check conversion here)
Radius of Journal: 25.5 Millimeter --> 0.0255 Meter (Check conversion here)
Radial clearance for bearing: 0.024 Millimeter --> 2.4E-05 Meter (Check conversion here)
Dynamic Viscosity of Lubricant: 220 Centipoise --> 0.22 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_s = 2*pi*S*p/(((r/c)^2)*μ_l) --> 2*pi*2.58*960000/(((0.0255/2.4E-05)^2)*0.22)

Evaluating ... ...

n_s = 62.6599795913579

STEP 3: Convert Result to Output's Unit

62.6599795913579 Radian per Second -->9.97264548650972 Revolution per Second (Check conversion here)

FINAL ANSWER

9.97264548650972 ≈ 9.972645 Revolution per Second <-- Journal Speed

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Sliding Contact Bearing » Journal » Journal Speed in Terms of Sommerfeld Number of Bearing

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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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< Journal Calculators

Radius of Journal given Sommerfeld Number of Bearing

LaTeX Go Radius of Journal = Radial clearance for bearing*sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed))

Journal Speed in Terms of Sommerfeld Number of Bearing

LaTeX Go Journal Speed = 2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(((Radius of Journal/Radial clearance for bearing)^2)*Dynamic Viscosity of Lubricant)

Radius of Journal in Terms of Minimum Film Thickness of Bearing

LaTeX Go Radius of Journal = Radius of Bearing-(Eccentricity in bearing+Minimum Film Thickness)

Radius of Journal in Terms of Radial Clearance of Bearing

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

Journal Speed 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 Journal Speed in Terms of Sommerfeld Number of Bearing?

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

How to calculate Journal Speed in Terms of Sommerfeld Number of Bearing using this online calculator? To use this online calculator for Journal Speed in Terms of Sommerfeld Number of Bearing, enter Sommerfeld Number of Journal Bearing (S), Unit bearing pressure for bearing (p), Radius of Journal (r), Radial clearance for bearing (c) & Dynamic Viscosity of Lubricant (μ_l) and hit the calculate button. Here is how the Journal Speed in Terms of Sommerfeld Number of Bearing calculation can be explained with given input values -> 1.587196 = 2*pi*2.58*960000/(((0.0255/2.4E-05)^2)*0.22).

FAQ

What is Journal Speed in Terms of Sommerfeld Number of Bearing?

The Journal Speed in Terms of Sommerfeld Number of Bearing formula is defined as the ratio of the product of Sommerfeld number and unit bearing pressure to the product of square of ratio of radius of journal to radial clearance and viscosity of lubricant and is represented as n_s = 2*pi*S*p/(((r/c)^2)*μ_l) or Journal Speed = 2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(((Radius of Journal/Radial clearance for bearing)^2)*Dynamic Viscosity of Lubricant). 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 Radius of Journal is the radius of the journal (which rotates freely in a supporting metal sleeve or shell), 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 & The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.

How to calculate Journal Speed in Terms of Sommerfeld Number of Bearing?

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

In this formula, Journal Speed uses Sommerfeld Number of Journal Bearing, Unit bearing pressure for bearing, Radius of Journal, Radial clearance for bearing & Dynamic Viscosity of Lubricant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Journal Speed = Flow of Lubricant into Clearance Space*2*pi/(Radius of Journal*Radial clearance for bearing*Flow Variable*Axial Length of Bearing)

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