Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal 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 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 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 in Terms of Flow of Lubricant in Clearance Space of Journal [FV]

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Formula

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Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal

Formula

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

Example

`"4.281046"=(2*pi*"524mm³/s")/("25.5mm"*"0.024mm"*"10rev/s"*"20mm")`

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Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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)
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)
Axial Length of Bearing: 20 Millimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FV = (2*pi*Q_cs)/(r*c*n_s*l_a) --> (2*pi*5.24E-07)/(0.0255*2.4E-05*62.8318530685963*0.02)

Evaluating ... ...

FV = 4.28104575185199

STEP 3: Convert Result to Output's Unit

4.28104575185199 --> No Conversion Required

FINAL ANSWER

4.28104575185199 ≈ 4.281046 <-- Flow Variable

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Sliding Contact Bearing » Dimensionless Performance Parameters » Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal

Credits

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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< 9 Dimensionless Performance Parameters Calculators

Sommerfeld Number of Bearing

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

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal

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

Load Coefficient in Terms of Load Acting on Bearing

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

Coefficient of Friction Variable of Bearing in Terms of Coefficient of Friction

Go Coefficient of Friction Variable = Radius of Journal*Coefficient of friction for journal bearing/Radial clearance for bearing

Radial Clearance in Terms of Coefficient of Friction Variable of Bearing

Go Radial clearance for bearing = Radius of Journal*Coefficient of friction for journal bearing/Coefficient of Friction Variable

Coefficient of Friction in Terms of Coefficient of friction Variable

Go Coefficient of friction for journal bearing = Coefficient of Friction Variable*Radial clearance for bearing/Radius of Journal

Radius of Journal in Terms of Coefficient of Friction Variable

Go Radius of Journal = Coefficient of Friction Variable*Radial clearance for bearing/Coefficient of friction for journal bearing

Flow of Lubricant into Clearance of Journal given Outflow and Flow Ratio Variable

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

Flow Ratio Variable in Terms of Outflow of Lubricant

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

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Formula

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

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal calculator uses Flow Variable = (2*pi*Flow of Lubricant into Clearance Space)/(Radius of Journal*Radial clearance for bearing*Journal Speed*Axial Length of Bearing) to calculate the Flow Variable, The Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal 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 axial length of bearing. Flow Variable is denoted by FV symbol.

How to calculate Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal using this online calculator? To use this online calculator for Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal, enter Flow of Lubricant into Clearance Space (Q_cs), Radius of Journal (r), Radial clearance for bearing (c), Journal Speed (n_s) & Axial Length of Bearing (l_a) and hit the calculate button. Here is how the Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal calculation can be explained with given input values -> 4.281046 = (2*pi*5.24E-07)/(0.0255*2.4E-05*62.8318530685963*0.02).

FAQ

What is Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal?

The Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal 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 axial length of bearing and is represented as FV = (2*pi*Q_cs)/(r*c*n_s*l_a) or Flow Variable = (2*pi*Flow of Lubricant into Clearance Space)/(Radius of Journal*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 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 Axial Length of Bearing is defined as the length of the bearing measured along its axis.

How to calculate Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal?

The Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal 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 axial length of bearing is calculated using Flow Variable = (2*pi*Flow of Lubricant into Clearance Space)/(Radius of Journal*Radial clearance for bearing*Journal Speed*Axial Length of Bearing). To calculate Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal, you need Flow of Lubricant into Clearance Space (Q_cs), Radius of Journal (r), 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, Radius of Journal, 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.

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