Axial Length of Bearing in Terms of Flow Variable Calculator

✖Flow of Lubricant into Clearance Space can be defined as the amount of lubricant flowing per unit time between the clearance surface of a bearing.ⓘ Flow of Lubricant into Clearance Space [Q_cs]			+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 Flow Variable Value is defined as the ratio of flow of lubricant into the clearance space to product of radius of journal, radial clearance, journal speed, and axial length of bearing.ⓘ Flow Variable [FV]			+10% -10%

✖The Axial Length of Bearing is defined as the length of the bearing measured along its axis.ⓘ Axial Length of Bearing in Terms of Flow Variable [l_a]

⎘ Copy

👎

Formula

✖

Axial Length of Bearing in Terms of Flow Variable

Formula

`"l"_{"a"} = 2*pi*"Q"_{"cs"}/("r"*"c"*"n"_{"s"}*"FV")`

Example

`"20.00489mm"=2*pi*"524mm³/s"/("25.5mm"*"0.024mm"*"10rev/s"*"4.28")`

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF PDF Image

Axial Length of Bearing in Terms of Flow Variable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Length of Bearing = 2*pi*Flow of Lubricant into Clearance Space/(Radius of Journal*Radial clearance for bearing*Journal Speed*Flow Variable)
l_a = 2*pi*Q_cs/(r*c*n_s*FV)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Axial Length of Bearing - (Measured in Meter) - The Axial Length of Bearing is defined as the length of the bearing measured along its axis.
Flow of Lubricant into Clearance Space - (Measured in Cubic Meter per Second) - Flow of Lubricant into Clearance Space can be defined as the amount of lubricant flowing per unit time between the clearance surface of a 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.
Flow Variable - The Flow Variable Value is defined as the ratio of flow of lubricant into the clearance space to product of radius of journal, radial clearance, journal speed, and axial length of bearing.

STEP 1: Convert Input(s) to Base Unit

Flow of Lubricant into Clearance Space: 524 Cubic Millimeter per Second --> 5.24E-07 Cubic Meter per Second (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)
Flow Variable: 4.28 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_a = 2*pi*Q_cs/(r*c*n_s*FV) --> 2*pi*5.24E-07/(0.0255*2.4E-05*62.8318530685963*4.28)

Evaluating ... ...

l_a = 0.0200048866908971

STEP 3: Convert Result to Output's Unit

0.0200048866908971 Meter -->20.0048866908971 Millimeter (Check conversion here)

FINAL ANSWER

20.0048866908971 ≈ 20.00489 Millimeter <-- Axial Length of Bearing

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Design of Sliding Contact Bearing » Sliding Bearing Parameters » Axial Length of Bearing in Terms of Flow Variable

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 9 Sliding Bearing Parameters Calculators

Load acting on Bearing in Terms of Flow of Lubricant

Go Load Acting on Sliding Bearing = Flow of Lubricant across Bearing Pad*Total Projected Area of Bearing Pad*Dynamic Viscosity of Lubricant/(Flow Coefficient*(Oil film thickness^3))

Axial Length of Bearing in Terms of Flow Variable

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

Tangential Force in Sliding Contact Bearing

Go Tangential force on moving plate = Dynamic viscosity of oil*Area of moving plate on oil*Velocity of Moving Plate on Oil/Oil film thickness

Load Acting on Bearing in Terms of Load Coefficient and Pressure of Lubricating Oil in Recess

Go Load Acting on Sliding Bearing = Load coefficient for bearing*Total Projected Area of Bearing Pad*Pressure of Lubricating Oil

Axial Length of Bearing in Terms of Unit Bearing Pressure

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

Radial Load Acting on Bearing in Terms of Unit Bearing Pressure

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

Radius of Bearing in Terms of Minimum Film Thickness

Go Radius of Bearing = Eccentricity in bearing+Minimum Film Thickness+Radius of Journal

Radius of Bearing in Terms of Radial Clearance

Go Radius of Bearing = Radius of Journal+Radial clearance for bearing

Outflow of Lubricant in Terms of Flow Ratio Variable

Go Out-Flow of Lubricant = Flow of Lubricant/Flow Ratio Variable

Axial Length of Bearing in Terms of Flow Variable Formula

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

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 Axial Length of Bearing in Terms of Flow Variable?

Axial Length of Bearing in Terms of Flow Variable calculator uses Axial Length of Bearing = 2*pi*Flow of Lubricant into Clearance Space/(Radius of Journal*Radial clearance for bearing*Journal Speed*Flow Variable) to calculate the Axial Length of Bearing, The Axial Length of Bearing in Terms of Flow Variable formula is defined as the ratio of flow of lubricant into the clearance space to the product of radius of journal, radial clearance, journal speed, and flow variable. Axial Length of Bearing is denoted by l_a symbol.

How to calculate Axial Length of Bearing in Terms of Flow Variable using this online calculator? To use this online calculator for Axial Length of Bearing in Terms of Flow Variable, enter Flow of Lubricant into Clearance Space (Q_cs), Radius of Journal (r), Radial clearance for bearing (c), Journal Speed (n_s) & Flow Variable (FV) and hit the calculate button. Here is how the Axial Length of Bearing in Terms of Flow Variable calculation can be explained with given input values -> 20004.89 = 2*pi*5.24E-07/(0.0255*2.4E-05*62.8318530685963*4.28).

FAQ

What is Axial Length of Bearing in Terms of Flow Variable?

The Axial Length of Bearing in Terms of Flow Variable formula is defined as the ratio of flow of lubricant into the clearance space to the product of radius of journal, radial clearance, journal speed, and flow variable and is represented as l_a = 2*pi*Q_cs/(r*c*n_s*FV) or Axial Length of Bearing = 2*pi*Flow of Lubricant into Clearance Space/(Radius of Journal*Radial clearance for bearing*Journal Speed*Flow Variable). Flow of Lubricant into Clearance Space can be defined as the amount of lubricant flowing per unit time between the clearance surface of a 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 & The Flow Variable Value is defined as the ratio of flow of lubricant into the clearance space to product of radius of journal, radial clearance, journal speed, and axial length of bearing.

How to calculate Axial Length of Bearing in Terms of Flow Variable?

The Axial Length of Bearing in Terms of Flow Variable formula is defined as the ratio of flow of lubricant into the clearance space to the product of radius of journal, radial clearance, journal speed, and flow variable is calculated using Axial Length of Bearing = 2*pi*Flow of Lubricant into Clearance Space/(Radius of Journal*Radial clearance for bearing*Journal Speed*Flow Variable). To calculate Axial Length of Bearing in Terms of Flow Variable, you need Flow of Lubricant into Clearance Space (Q_cs), Radius of Journal (r), Radial clearance for bearing (c), Journal Speed (n_s) & Flow Variable (FV). With our tool, you need to enter the respective value for Flow of Lubricant into Clearance Space, Radius of Journal, Radial clearance for bearing, Journal Speed & Flow Variable 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 Axial Length of Bearing?

In this formula, Axial Length of Bearing uses Flow of Lubricant into Clearance Space, Radius of Journal, Radial clearance for bearing, Journal Speed & Flow Variable. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search