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Journal Speed in Terms of Flow Variable Formula

GoJournal Speed in Terms of Sommerfeld Number of Bearing Formula

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The Journal Speed Value is defined as the speed of the journal of a bearing. Check FAQs

n s = Q cs \cdot 2 \cdot \frac{π}{r \cdot c \cdot FV \cdot l a}

n_s - Journal Speed?Q_cs - Flow of Lubricant into Clearance Space?r - Radius of Journal?c - Radial clearance for bearing?FV - Flow Variable?l_a - Axial Length of Bearing?π - Archimedes' constant?

Journal Speed in Terms of Flow Variable Example

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Here is how the Journal Speed in Terms of Flow Variable equation looks like with Values.

Here is how the Journal Speed in Terms of Flow Variable equation looks like with Units.

Here is how the Journal Speed in Terms of Flow Variable equation looks like.

10.0024 = 524 \cdot 2 \cdot \frac{3.1416}{25.5 \cdot 0.024 \cdot 4.28 \cdot 20}

10.0024rev/s = 524mm³/s \cdot 2 \cdot \frac{3.1416}{25.5mm \cdot 0.024mm \cdot 4.28 \cdot 20mm}

10.0024 = 524 \cdot 2 \cdot \frac{3.1416}{25.5 \cdot 0.024 \cdot 4.28 \cdot 20}

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Journal Speed in Terms of Flow Variable Solution

Follow our step by step solution on how to calculate Journal Speed in Terms of Flow Variable?

FIRST Step Consider the formula

n s = Q cs \cdot 2 \cdot \frac{π}{r \cdot c \cdot FV \cdot l a}

Next Step Substitute values of Variables

∴

n s = 524mm³/s \cdot 2 \cdot \frac{π}{25.5mm \cdot 0.024mm \cdot 4.28 \cdot 20mm}

Next Step Substitute values of Constants

∴

n s = 524mm³/s \cdot 2 \cdot \frac{3.1416}{25.5mm \cdot 0.024mm \cdot 4.28 \cdot 20mm}

Next Step Convert Units

∴

n s = 5.2E-7m³/s \cdot 2 \cdot \frac{3.1416}{0.0255m \cdot 2.4E-5m \cdot 4.28 \cdot 0.02m}

Next Step Prepare to Evaluate

∴

n s = 5.2E-7 \cdot 2 \cdot \frac{3.1416}{0.0255 \cdot 2.4E-5 \cdot 4.28 \cdot 0.02}

Next Step Evaluate

∴

n s = 62.8472050608183rad/s

Next Step Convert to Output's Unit

∴

n s = 10.0024433454486rev/s

LAST Step Rounding Answer

∴

n s = 10.0024rev/s

Journal Speed in Terms of Flow Variable Formula Elements

Variables

Constants

Journal Speed

The Journal Speed Value is defined as the speed of the journal of a bearing.

Symbol: n_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Journal Speed

Flow of Lubricant into Clearance Space

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.

Symbol: Q_cs

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Formulas to find Flow of Lubricant into Clearance Space

Radius of Journal

The Radius of Journal is the radius of the journal (which rotates freely in a supporting metal sleeve or shell).

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Journal

Radial clearance for 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.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radial clearance for 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.

Symbol: FV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Flow Variable

Axial Length of Bearing

The Axial Length of Bearing is defined as the length of the bearing measured along its axis.

Symbol: l_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Axial Length of Bearing

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Journal Speed

Go Journal Speed in Terms of Sommerfeld Number of Bearing

n s = 2 \cdot π \cdot S \cdot \frac{p}{({(\frac{r}{c})}^{2}) \cdot μ l}

Other formulas in Journal category

Go Radius of Journal in Terms of Radial Clearance of Bearing

r = R - c

Go Radius of Journal in Terms of Minimum Film Thickness of Bearing

r = R - (e + h °)

Go Radius of Journal given Sommerfeld Number of Bearing

r = c \cdot \sqrt{2 \cdot π \cdot S \cdot \frac{p}{μ l \cdot n s}}

Go Journal Diameter given Unit Bearing Pressure

d = \frac{W r}{p \cdot l a}

How to Evaluate Journal Speed in Terms of Flow Variable?

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

How to evaluate Journal Speed in Terms of Flow Variable using this online evaluator? To use this online evaluator for Journal Speed in Terms of Flow Variable, enter Flow of Lubricant into Clearance Space (Q_cs), Radius of Journal (r), Radial clearance for bearing (c), Flow Variable (FV) & Axial Length of Bearing (l_a) and hit the calculate button.

FAQs on Journal Speed in Terms of Flow Variable

What is the formula to find Journal Speed in Terms of Flow Variable?

The formula of Journal Speed in Terms of Flow Variable is expressed as Journal Speed = Flow of Lubricant into Clearance Space*2*pi/(Radius of Journal*Radial clearance for bearing*Flow Variable*Axial Length of Bearing). Here is an example- 1.591938 = 5.24E-07*2*pi/(0.0255*2.4E-05*4.28*0.02).

How to calculate Journal Speed in Terms of Flow Variable?

With Flow of Lubricant into Clearance Space (Q_cs), Radius of Journal (r), Radial clearance for bearing (c), Flow Variable (FV) & Axial Length of Bearing (l_a) we can find Journal Speed in Terms of Flow Variable using the formula - Journal Speed = Flow of Lubricant into Clearance Space*2*pi/(Radius of Journal*Radial clearance for bearing*Flow Variable*Axial Length of Bearing). This formula also uses Archimedes' constant .

What are the other ways to Calculate Journal Speed?

Here are the different ways to Calculate Journal Speed-

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)

Can the Journal Speed in Terms of Flow Variable be negative?

No, the Journal Speed in Terms of Flow Variable, measured in Angular Velocity cannot be negative.

Which unit is used to measure Journal Speed in Terms of Flow Variable?

Journal Speed in Terms of Flow Variable is usually measured using the Revolution per Second[rev/s] for Angular Velocity. Radian per Second[rev/s], Radian per Day[rev/s], Radian per Hour[rev/s] are the few other units in which Journal Speed in Terms of Flow Variable can be measured.

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Journal Speed in Terms of Flow Variable Formula

​GoJournal Speed in Terms of Sommerfeld Number of Bearing Formula

Journal Speed in Terms of Flow Variable Example

Journal Speed in Terms of Flow Variable Solution

Journal Speed in Terms of Flow Variable Formula Elements

Other Formulas to find Journal Speed

Other formulas in Journal category

How to Evaluate Journal Speed in Terms of Flow Variable?

FAQs on Journal Speed in Terms of Flow Variable

Variable Name

GoJournal Speed in Terms of Sommerfeld Number of Bearing Formula