Unit Bearing Pressure 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%
✖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 [n_s]			+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 in Terms of Sommerfeld Number of Bearing [p]

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Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Journal Speed: 10 Revolution per Second --> 62.8318530685963 Radian per Second (Check conversion here)
Sommerfeld Number of Journal Bearing: 2.58 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (((r/c)^2)*μ_l*n_s)/(2*pi*S) --> (((0.0255/2.4E-05)^2)*0.22*62.8318530685963)/(2*pi*2.58)

Evaluating ... ...

p = 962633.236385089

STEP 3: Convert Result to Output's Unit

962633.236385089 Pascal -->0.962633236385089 Megapascal (Check conversion here)

FINAL ANSWER

0.962633236385089 ≈ 0.962633 Megapascal <-- Unit bearing pressure for bearing

(Calculation completed in 00.004 seconds)

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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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< Pressure Calculators

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing

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

Pressure Difference in Terms of Flow of Lubricant

LaTeX Go Pressure difference between slot sides = Length of slot in direction of flow*12*Dynamic Viscosity of Lubricant*Flow of lubricant from slot/((Oil film thickness^3)*Breadth of slot for oil flow)

Unit Bearing Pressure in Terms of Temperature Rise Variable

LaTeX Go Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable

Unit Bearing Pressure in Terms of Radial Load Acting on Bearing

LaTeX Go Unit bearing pressure for bearing = Radial load acting on sliding bearing/(Axial Length of Bearing*Journal Diameter)

Unit Bearing Pressure 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 Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

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

How to calculate Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing using this online calculator? To use this online calculator for Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing, enter Radius of Journal (r), Radial clearance for bearing (c), Dynamic Viscosity of Lubricant (μ_l), Journal Speed (n_s) & Sommerfeld Number of Journal Bearing (S) and hit the calculate button. Here is how the Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing calculation can be explained with given input values -> 9.6E-7 = (((0.0255/2.4E-05)^2)*0.22*62.8318530685963)/(2*pi*2.58).

FAQ

What is Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

The Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing formula is defined as the product of the square of the ratio of the radius of the journal to the radial clearance, and the ratio of the product of viscosity of lubricant and journal speed to Sommerfeld number and is represented as p = (((r/c)^2)*μ_l*n_s)/(2*pi*S) or Unit bearing pressure for bearing = (((Radius of Journal/Radial clearance for bearing)^2)*Dynamic Viscosity of Lubricant*Journal Speed)/(2*pi*Sommerfeld Number of Journal 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, The Journal Speed Value is defined as the speed of the journal of a bearing & Sommerfeld Number of Journal Bearing is a dimensionless number that is used in designing a hydrodynamic bearing.

How to calculate Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

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

In this formula, Unit bearing pressure for bearing uses Radius of Journal, Radial clearance for bearing, Dynamic Viscosity of Lubricant, Journal Speed & Sommerfeld Number of Journal Bearing. We can use 2 other way(s) to calculate the same, which is/are as follows -

Unit bearing pressure for bearing = Radial load acting on sliding bearing/(Axial Length of Bearing*Journal Diameter)
Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable

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