FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Formula

GoViscosity in Terms of Kinematic Viscosity and Density for Sliding Contact Bearing Formula

GoViscosity of Lubricant in Terms of Flow of Lubricant Formula

Fx Copy

LaTeX Copy

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

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

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

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Example

With values

With units

Only example

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

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

Here is how the Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing equation looks like.

219.3982 = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96}{({(\frac{25.5}{0.024})}^{2}) \cdot 10}

219.3982cP = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96MPa}{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 10rev/s}

219.3982 = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96}{({(\frac{25.5}{0.024})}^{2}) \cdot 10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ l = 2 \cdot π \cdot 2.58 \cdot \frac{0.96MPa}{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 10rev/s}

Next Step Substitute values of Constants

∴

μ l = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{0.96MPa}{({(\frac{25.5mm}{0.024mm})}^{2}) \cdot 10rev/s}

Next Step Convert Units

∴

μ l = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{960000Pa}{({(\frac{0.0255m}{2.4E-5m})}^{2}) \cdot 62.8319rad/s}

Next Step Prepare to Evaluate

∴

μ l = 2 \cdot 3.1416 \cdot 2.58 \cdot \frac{960000}{({(\frac{0.0255}{2.4E-5})}^{2}) \cdot 62.8319}

Next Step Evaluate

∴

μ l = 0.219398200703214Pa*s

Next Step Convert to Output's Unit

∴

μ l = 219.398200703214cP

LAST Step Rounding Answer

∴

μ l = 219.3982cP

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Formula Elements

Variables

Constants

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

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

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

Other Formulas to find Dynamic Viscosity of Lubricant

Go Viscosity in Terms of Kinematic Viscosity and Density for Sliding Contact Bearing

μ l = z \cdot ρ

Go Viscosity of Lubricant in Terms of Flow of Lubricant

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

Go Viscosity in Terms of Flow Coefficient and Flow of Lubricant

μ l = q f \cdot W \cdot \frac{h^{3}}{A p \cdot Q bp}

Other formulas in Viscosity and Density of Lubricant category

Go Absolute Viscosity of Oil in Terms of Tangential Force

μ o = P \cdot \frac{h}{A po \cdot V m}

Go Area of moving plate of sliding contact bearing given absolute viscosity

A po = P \cdot \frac{h}{μ o \cdot V m}

Go Velocity of Moving Plate in Terms of Absolute Viscosity

V m = P \cdot \frac{h}{μ o \cdot A po}

Go Kinematic Viscosity in Centi-Stokes in Terms of Viscosity in Saybolt's Unversal Seconds

z k = (0.22 \cdot t) - (\frac{180}{t})

How to Evaluate Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing evaluator uses Dynamic Viscosity of Lubricant = 2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(((Radius of Journal/Radial clearance for bearing)^2)*Journal Speed) to evaluate the Dynamic Viscosity of Lubricant, Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing formula is defined as a relationship that describes how the viscosity of a lubricant affects the performance and efficiency of sliding contact bearings under varying operational conditions. Dynamic Viscosity of Lubricant is denoted by μ_l symbol.

How to evaluate Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing using this online evaluator? To use this online evaluator for Viscosity of Lubricant 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) & Journal Speed (n_s) and hit the calculate button.

FAQs on Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing

What is the formula to find Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

The formula of Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing is expressed as Dynamic Viscosity of Lubricant = 2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(((Radius of Journal/Radial clearance for bearing)^2)*Journal Speed). Here is an example- 219398.2 = 2*pi*2.58*960000/((0.0255/2.4E-05)^2*62.8318530685963).

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

What are the other ways to Calculate Dynamic Viscosity of Lubricant?

Here are the different ways to Calculate Dynamic Viscosity of Lubricant-

Dynamic Viscosity of Lubricant=Kinematic Viscosity of Lubricant Oil*Density of Lubricating Oil
Dynamic Viscosity of Lubricant=Pressure Difference Between Slot Sides*Breadth of Slot for Oil Flow*(Oil Film Thickness^3)/(12*Length of Slot in Direction of Flow*Flow of Lubricant From Slot)
Dynamic Viscosity of Lubricant=Flow Coefficient*Load Acting on Sliding Bearing*(Oil Film Thickness^3)/(Total Projected Area of Bearing Pad*Flow of Lubricant Across Bearing Pad)

Can the Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing be negative?

No, the Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing is usually measured using the Centipoise[cP] for Dynamic Viscosity. Pascal Second[cP], Newton Second per Square Meter[cP], Millinewton Second per Square Meter[cP] are the few other units in which Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Formula

​GoViscosity in Terms of Kinematic Viscosity and Density for Sliding Contact Bearing Formula

​GoViscosity of Lubricant in Terms of Flow of Lubricant Formula

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Example

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Solution

Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing Formula Elements

Other Formulas to find Dynamic Viscosity of Lubricant

Other formulas in Viscosity and Density of Lubricant category

How to Evaluate Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing?

FAQs on Viscosity of Lubricant in Terms of Sommerfeld Number of Bearing

Variable Name

GoViscosity in Terms of Kinematic Viscosity and Density for Sliding Contact Bearing Formula

GoViscosity of Lubricant in Terms of Flow of Lubricant Formula