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Radial Clearance in Terms of Sommerfeld Number of Bearing Formula

GoRadial Clearance of Bearing in Terms of Radius of Bearing and Journal Formula

GoRadial Clearance of Bearing in Terms of Eccentricity and Clearance Formula

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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. Check FAQs

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

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

Radial Clearance in Terms of Sommerfeld Number of Bearing Example

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

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

Here is how the Radial Clearance in Terms of Sommerfeld Number of Bearing equation looks like.

0.024 = \frac{25.5}{\sqrt{2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96}{220 \cdot 10}}}

0.024mm = \frac{25.5mm}{\sqrt{2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96MPa}{220cP \cdot 10rev/s}}}

0.024 = \frac{25.5}{\sqrt{2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96}{220 \cdot 10}}}

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Radial Clearance in Terms of Sommerfeld Number of Bearing Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c = \frac{25.5mm}{\sqrt{2 \cdot π \cdot 2.58 \cdot \frac{0.96MPa}{220cP \cdot 10rev/s}}}

Next Step Substitute values of Constants

∴

c = \frac{25.5mm}{\sqrt{2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96MPa}{220cP \cdot 10rev/s}}}

Next Step Convert Units

∴

c = \frac{0.0255m}{\sqrt{2 \cdot 3.1416 \cdot 2.58 \cdot \frac{960000Pa}{0.22Pa*s \cdot 62.8319rad/s}}}

Next Step Prepare to Evaluate

∴

c = \frac{0.0255}{\sqrt{2 \cdot 3.1416 \cdot 2.58 \cdot \frac{960000}{0.22 \cdot 62.8319}}}

Next Step Evaluate

∴

c = 2.40328929143175E-05m

Next Step Convert to Output's Unit

∴

c = 0.0240328929143175mm

LAST Step Rounding Answer

∴

c = 0.024mm

Radial Clearance in Terms of Sommerfeld Number of Bearing Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Radial clearance for bearing

Go Radial Clearance of Bearing in Terms of Radius of Bearing and Journal

c = R - r

Go Radial Clearance of Bearing in Terms of Eccentricity and Clearance

c = \frac{e}{ε}

Go Radial Clearance in Terms of Minimum Film Thickness Variable of Bearing

c = \frac{h °}{h min}

Go Radial Clearance in Terms of Eccentricity Ratio and Minimum Film Thickness of Bearing

c = \frac{h °}{1 - ε}

Other formulas in Radial Clearance category

Go Eccentricity Ratio of Bearing in Terms of Radial Clearance and Eccentricity

ε = \frac{e}{c}

Go Eccentricity of Bearing in Terms of Radial Clearance and Eccentricity

e = c \cdot ε

How to Evaluate Radial Clearance in Terms of Sommerfeld Number of Bearing?

Radial Clearance in Terms of Sommerfeld Number of Bearing evaluator uses Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed)) to evaluate the Radial clearance for bearing, The Radial Clearance in Terms of Sommerfeld Number of Bearing formula is defined as the ratio of radius of journal to the square root of the ratio of the product of Sommerfeld number and unit bearing pressure to the product of viscosity and journal speed. Radial clearance for bearing is denoted by c symbol.

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

FAQs on Radial Clearance in Terms of Sommerfeld Number of Bearing

What is the formula to find Radial Clearance in Terms of Sommerfeld Number of Bearing?

The formula of Radial Clearance in Terms of Sommerfeld Number of Bearing is expressed as Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed)). Here is an example- 24.03289 = 0.0255/sqrt(2*pi*2.58*960000/(0.22*62.8318530685963)).

How to calculate Radial Clearance in Terms of Sommerfeld Number of Bearing?

With Radius of Journal (r), Sommerfeld Number of Journal Bearing (S), Unit bearing pressure for bearing (p), Dynamic Viscosity of Lubricant (μ_l) & Journal Speed (n_s) we can find Radial Clearance in Terms of Sommerfeld Number of Bearing using the formula - Radial clearance for bearing = Radius of Journal/sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radial clearance for bearing?

Here are the different ways to Calculate Radial clearance for bearing-

Radial clearance for bearing=Radius of Bearing-Radius of Journal
Radial clearance for bearing=Eccentricity in bearing/Eccentricity Ratio of Journal Bearing
Radial clearance for bearing=Minimum Film Thickness/Minimum Film Thickness Variable

Can the Radial Clearance in Terms of Sommerfeld Number of Bearing be negative?

No, the Radial Clearance in Terms of Sommerfeld Number of Bearing, measured in Length cannot be negative.

Which unit is used to measure Radial Clearance in Terms of Sommerfeld Number of Bearing?

Radial Clearance in Terms of Sommerfeld Number of Bearing is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radial Clearance in Terms of Sommerfeld Number of Bearing can be measured.

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Radial Clearance in Terms of Sommerfeld Number of Bearing Formula

​GoRadial Clearance of Bearing in Terms of Radius of Bearing and Journal Formula

​GoRadial Clearance of Bearing in Terms of Eccentricity and Clearance Formula

Radial Clearance in Terms of Sommerfeld Number of Bearing Example

Radial Clearance in Terms of Sommerfeld Number of Bearing Solution

Radial Clearance in Terms of Sommerfeld Number of Bearing Formula Elements

Other Formulas to find Radial clearance for bearing

Other formulas in Radial Clearance category

How to Evaluate Radial Clearance in Terms of Sommerfeld Number of Bearing?

FAQs on Radial Clearance in Terms of Sommerfeld Number of Bearing

Variable Name

GoRadial Clearance of Bearing in Terms of Radius of Bearing and Journal Formula

GoRadial Clearance of Bearing in Terms of Eccentricity and Clearance Formula