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

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Radius of Journal in Terms of Flow Variable Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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).
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.
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.
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.
Axial Length of Bearing - (Measured in Meter) - The Axial Length of Bearing is defined as the length of the bearing measured along its axis.

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)
Flow Variable: 4.28 --> No Conversion Required
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)
Axial Length of Bearing: 20 Millimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = Q_cs*2*pi/(FV*c*n_s*l_a) --> 5.24E-07*2*pi/(4.28*2.4E-05*62.8318530685963*0.02)

Evaluating ... ...

r = 0.0255062305308939

STEP 3: Convert Result to Output's Unit

0.0255062305308939 Meter -->25.5062305308939 Millimeter (Check conversion here)

FINAL ANSWER

25.5062305308939 ≈ 25.50623 Millimeter <-- Radius of Journal

(Calculation completed in 00.020 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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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

Radius of Journal in Terms of Flow Variable Formula

LaTeX Go

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

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 Radius of Journal in Terms of Flow Variable?

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

How to calculate Radius of Journal in Terms of Flow Variable using this online calculator? To use this online calculator for Radius of Journal in Terms of Flow Variable, enter Flow of Lubricant into Clearance Space (Q_cs), Flow Variable (FV), Radial clearance for bearing (c), Journal Speed (n_s) & Axial Length of Bearing (l_a) and hit the calculate button. Here is how the Radius of Journal in Terms of Flow Variable calculation can be explained with given input values -> 25506.23 = 5.24E-07*2*pi/(4.28*2.4E-05*62.8318530685963*0.02).

FAQ

What is Radius of Journal in Terms of Flow Variable?

The Radius of Journal in Terms of Flow Variable formula is defined as the ratio of flow of lubricant into the clearance space to the product of Flow Variable, radial clearance, journal speed, and axial length of bearing and is represented as r = Q_cs*2*pi/(FV*c*n_s*l_a) or Radius of Journal = Flow of Lubricant into Clearance Space*2*pi/(Flow Variable*Radial clearance for bearing*Journal Speed*Axial Length of Bearing). 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 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, 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 Axial Length of Bearing is defined as the length of the bearing measured along its axis.

How to calculate Radius of Journal in Terms of Flow Variable?

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

In this formula, Radius of Journal uses Flow of Lubricant into Clearance Space, Flow Variable, Radial clearance for bearing, Journal Speed & Axial Length of Bearing. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Journal = Radius of Bearing-Radial clearance for bearing
Radius of Journal = Radius of Bearing-(Eccentricity in bearing+Minimum Film Thickness)
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))

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