Viscosity of Lubricant 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 Journal Speed Value is defined as the speed of the journal of a bearing.ⓘ Journal Speed [n_s]			+10% -10%

✖The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.ⓘ Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing [μ_l]

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Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

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)
Journal Speed: 10 Revolution per Second --> 62.8318530685963 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_l = 2*pi*S*p/(((r/c)^2)*n_s) --> 2*pi*2.58*960000/(((0.0255/2.4E-05)^2)*62.8318530685963)

Evaluating ... ...

μ_l = 0.219398200703214

STEP 3: Convert Result to Output's Unit

0.219398200703214 Pascal Second -->219.398200703214 Centipoise (Check conversion here)

FINAL ANSWER

219.398200703214 ≈ 219.3982 Centipoise <-- Dynamic Viscosity of Lubricant

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Sliding Contact Bearing » Viscosity and Density of Lubricant » Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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National Institute Of Technology (NIT), Hamirpur

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Viscosity of Lubricant 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 Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

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

How to calculate Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing using this online calculator? To use this online calculator for Viscosity of Lubricant 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) & Journal Speed (n_s) and hit the calculate button. Here is how the Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing calculation can be explained with given input values -> 219398.2 = 2*pi*2.58*960000/(((0.0255/2.4E-05)^2)*62.8318530685963).

FAQ

What is Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

The Viscosity of Lubricant 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 the square of the ratio of radius of journal to radial clearance and journal speed and is represented as μ_l = 2*pi*S*p/(((r/c)^2)*n_s) or Dynamic Viscosity of Lubricant = 2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(((Radius of Journal/Radial clearance for bearing)^2)*Journal Speed). 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 Journal Speed Value is defined as the speed of the journal of a bearing.

How to calculate Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

The Viscosity of Lubricant 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 the square of the ratio of radius of journal to radial clearance and journal speed is calculated using Dynamic Viscosity of Lubricant = 2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(((Radius of Journal/Radial clearance for bearing)^2)*Journal Speed). To calculate Viscosity of Lubricant 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) & Journal Speed (n_s). 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 & 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 Dynamic Viscosity of Lubricant?

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

Dynamic Viscosity of Lubricant = Kinematic viscosity of lubricant oil*Density of Lubricating Oil
Dynamic Viscosity of Lubricant = Pressure difference between slot sides*Breadth of slot for oil flow*(Oil film thickness^3)/(12*Length of slot in direction of flow*Flow of lubricant from slot)
Dynamic Viscosity of Lubricant = Flow Coefficient*Load Acting on Sliding Bearing*(Oil film thickness^3)/(Total Projected Area of Bearing Pad*Flow of Lubricant across Bearing Pad)

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