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Journal Speed in Terms of Sommerfeld Number of Bearing Formula

GoJournal Speed in Terms of Flow Variable Formula

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

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

n_s - Journal Speed?S - Sommerfeld Number of Journal Bearing?p - Unit bearing pressure for bearing?r - Radius of Journal?c - Radial clearance for bearing?μ_l - Dynamic Viscosity of Lubricant?π - Archimedes' constant?

Journal Speed in Terms of Sommerfeld Number of Bearing Example

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Here is how the Journal Speed in Terms of Sommerfeld Number of Bearing equation looks like with Values.

Here is how the Journal Speed in Terms of Sommerfeld Number of Bearing equation looks like with Units.

Here is how the Journal Speed in Terms of Sommerfeld Number of Bearing equation looks like.

9.9726 = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96}{({(\frac{25.5}{0.024})}^{2}) \cdot 220}

9.9726rev/s = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96MPa}{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 220cP}

9.9726 = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96}{({(\frac{25.5}{0.024})}^{2}) \cdot 220}

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Journal Speed in Terms of Sommerfeld Number of Bearing Solution

Follow our step by step solution on how to calculate Journal Speed in Terms of Sommerfeld Number of Bearing?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n s = 2 \cdot π \cdot 2.58 \cdot \frac{0.96MPa}{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 220cP}

Next Step Substitute values of Constants

∴

n s = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96MPa}{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 220cP}

Next Step Convert Units

∴

n s = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{960000Pa}{({(\frac{0.0255m}{2.4E-5m})}^{2}) \cdot 0.22Pa*s}

Next Step Prepare to Evaluate

∴

n s = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{960000}{({(\frac{0.0255}{2.4E-5})}^{2}) \cdot 0.22}

Next Step Evaluate

∴

n s = 62.6599795913579rad/s

Next Step Convert to Output's Unit

∴

n s = 9.97264548650972rev/s

LAST Step Rounding Answer

∴

n s = 9.9726rev/s

Journal Speed in Terms of Sommerfeld Number of Bearing 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

Sommerfeld Number of Journal Bearing

Sommerfeld Number of Journal Bearing is a dimensionless number that is used in designing a hydrodynamic bearing.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sommerfeld Number of Journal Bearing

Unit bearing pressure for bearing

Unit bearing pressure for bearing is the average pressure acting on the contact surface of the bearing.

Symbol: p

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Unit bearing pressure for bearing

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

Dynamic Viscosity of Lubricant

The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.

Symbol: μ_l

Measurement: Dynamic ViscosityUnit: cP

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity of Lubricant

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 Flow Variable

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

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 Sommerfeld Number of Bearing?

Journal Speed in Terms of Sommerfeld Number of Bearing evaluator uses 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) to evaluate the Journal Speed, The Journal Speed in Terms of Sommerfeld Number of Bearing formula is defined as the ratio of the product of Sommerfeld number and unit bearing pressure to the product of square of ratio of radius of journal to radial clearance and viscosity of lubricant. Journal Speed is denoted by n_s symbol.

How to evaluate Journal Speed in Terms of Sommerfeld Number of Bearing using this online evaluator? To use this online evaluator for Journal Speed in Terms of Sommerfeld Number of Bearing, enter Sommerfeld Number of Journal Bearing (S), Unit bearing pressure for bearing (p), Radius of Journal (r), Radial clearance for bearing (c) & Dynamic Viscosity of Lubricant (μ_l) and hit the calculate button.

FAQs on Journal Speed in Terms of Sommerfeld Number of Bearing

What is the formula to find Journal Speed in Terms of Sommerfeld Number of Bearing?

The formula of Journal Speed in Terms of Sommerfeld Number of Bearing is expressed as 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). Here is an example- 1.587196 = 2*pi*2.58*960000/(((0.0255/2.4E-05)^2)*0.22).

How to calculate Journal Speed in Terms of Sommerfeld Number of Bearing?

With Sommerfeld Number of Journal Bearing (S), Unit bearing pressure for bearing (p), Radius of Journal (r), Radial clearance for bearing (c) & Dynamic Viscosity of Lubricant (μ_l) we can find Journal Speed in Terms of Sommerfeld Number of Bearing using the formula - 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). 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=Flow of Lubricant into Clearance Space*2*pi/(Radius of Journal*Radial clearance for bearing*Flow Variable*Axial Length of Bearing)

Can the Journal Speed in Terms of Sommerfeld Number of Bearing be negative?

No, the Journal Speed in Terms of Sommerfeld Number of Bearing, measured in Angular Velocity cannot be negative.

Which unit is used to measure Journal Speed in Terms of Sommerfeld Number of Bearing?

Journal Speed in Terms of Sommerfeld Number of Bearing 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 Sommerfeld Number of Bearing can be measured.

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Journal Speed in Terms of Sommerfeld Number of Bearing Formula

​GoJournal Speed in Terms of Flow Variable Formula

Journal Speed in Terms of Sommerfeld Number of Bearing Example

Journal Speed in Terms of Sommerfeld Number of Bearing Solution

Journal Speed in Terms of Sommerfeld Number of Bearing Formula Elements

Other Formulas to find Journal Speed

Other formulas in Journal category

How to Evaluate Journal Speed in Terms of Sommerfeld Number of Bearing?

FAQs on Journal Speed in Terms of Sommerfeld Number of Bearing

Variable Name

GoJournal Speed in Terms of Flow Variable Formula