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Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Formula

GoUnit Bearing Pressure in Terms of Radial Load Acting on Bearing Formula

GoUnit Bearing Pressure in Terms of Temperature Rise Variable Formula

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

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

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

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Example

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

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

Here is how the Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing equation looks like.

0.9626 = \frac{({(\frac{25.5}{0.024})}^{2}) \cdot 220 \cdot 10}{2 \cdot 3.1416 \cdot 2.58}

0.9626MPa = \frac{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 220cP \cdot 10rev/s}{2 \cdot 3.1416 \cdot 2.58}

0.9626 = \frac{({(\frac{25.5}{0.024})}^{2}) \cdot 220 \cdot 10}{2 \cdot 3.1416 \cdot 2.58}

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Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = \frac{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 220cP \cdot 10rev/s}{2 \cdot π \cdot 2.58}

Next Step Substitute values of Constants

∴

p = \frac{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 220cP \cdot 10rev/s}{2 \cdot 3.1416 \cdot 2.58}

Next Step Convert Units

∴

p = \frac{({(\frac{0.0255m}{2.4E-5m})}^{2}) \cdot 0.22Pa*s \cdot 62.8319rad/s}{2 \cdot 3.1416 \cdot 2.58}

Next Step Prepare to Evaluate

∴

p = \frac{({(\frac{0.0255}{2.4E-5})}^{2}) \cdot 0.22 \cdot 62.8319}{2 \cdot 3.1416 \cdot 2.58}

Next Step Evaluate

∴

p = 962633.236385089Pa

Next Step Convert to Output's Unit

∴

p = 0.962633236385089MPa

LAST Step Rounding Answer

∴

p = 0.9626MPa

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Formula Elements

Variables

Constants

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

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

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 Unit bearing pressure for bearing

Go Unit Bearing Pressure in Terms of Radial Load Acting on Bearing

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

Go Unit Bearing Pressure in Terms of Temperature Rise Variable

p = ρ \cdot C p \cdot \frac{Δt r}{TRV}

Other formulas in Pressure category

Go Pressure Difference in Terms of Flow of Lubricant

ΔP = l \cdot 12 \cdot μ l \cdot \frac{Q slot}{(h^{3}) \cdot b}

Go Inlet Pressure in Terms of Pumping Power

P i = P o + (\frac{kW p}{Q sb})

Go Outlet Pressure in Terms of Pumping Power

P o = P i - (\frac{kW p}{Q sb})

Go Pressure of Lubricating Oil in Recess in Terms of Load acting on Bearing

p r = \frac{W}{A p \cdot a f}

How to Evaluate Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

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

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

FAQs on Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing

What is the formula to find Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

The formula of Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing is expressed as Unit bearing pressure for bearing = (((Radius of Journal/Radial clearance for bearing)^2)*Dynamic Viscosity of Lubricant*Journal Speed)/(2*pi*Sommerfeld Number of Journal Bearing). Here is an example- 9.6E-7 = (((0.0255/2.4E-05)^2)*0.22*62.8318530685963)/(2*pi*2.58).

How to calculate Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

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

What are the other ways to Calculate Unit bearing pressure for bearing?

Here are the different ways to Calculate Unit bearing pressure for bearing-

Unit bearing pressure for bearing=Radial load acting on sliding bearing/(Axial Length of Bearing*Journal Diameter)
Unit bearing pressure for bearing=Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable

Can the Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing be negative?

No, the Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing, measured in Pressure cannot be negative.

Which unit is used to measure Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing can be measured.

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Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Formula

​GoUnit Bearing Pressure in Terms of Radial Load Acting on Bearing Formula

​GoUnit Bearing Pressure in Terms of Temperature Rise Variable Formula

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Example

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Solution

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing Formula Elements

Other Formulas to find Unit bearing pressure for bearing

Other formulas in Pressure category

How to Evaluate Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing?

FAQs on Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing

Variable Name

GoUnit Bearing Pressure in Terms of Radial Load Acting on Bearing Formula

GoUnit Bearing Pressure in Terms of Temperature Rise Variable Formula