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Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Formula

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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. Check FAQs

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

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

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Example

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

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

Here is how the Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal equation looks like.

4.281 = \frac{2 \cdot 3.1416 \cdot 524}{25.5 \cdot 0.024 \cdot 10 \cdot 20}

4.281 = \frac{2 \cdot 3.1416 \cdot 524mm³/s}{25.5mm \cdot 0.024mm \cdot 10rev/s \cdot 20mm}

4.281 = \frac{2 \cdot 3.1416 \cdot 524}{25.5 \cdot 0.024 \cdot 10 \cdot 20}

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Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

FV = \frac{2 \cdot π \cdot 524mm³/s}{25.5mm \cdot 0.024mm \cdot 10rev/s \cdot 20mm}

Next Step Substitute values of Constants

∴

FV = \frac{2 \cdot 3.1416 \cdot 524mm³/s}{25.5mm \cdot 0.024mm \cdot 10rev/s \cdot 20mm}

Next Step Convert Units

∴

FV = \frac{2 \cdot 3.1416 \cdot 5.2E-7m³/s}{0.0255m \cdot 2.4E-5m \cdot 62.8319rad/s \cdot 0.02m}

Next Step Prepare to Evaluate

∴

FV = \frac{2 \cdot 3.1416 \cdot 5.2E-7}{0.0255 \cdot 2.4E-5 \cdot 62.8319 \cdot 0.02}

Next Step Evaluate

∴

FV = 4.28104575185199

LAST Step Rounding Answer

∴

FV = 4.281

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Formula Elements

Variables

Constants

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

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

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

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 in Dimensionless Performance Parameters category

Go Sommerfeld Number of Bearing

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

Go Coefficient of Friction Variable of Bearing in Terms of Coefficient of Friction

CFV = r \cdot \frac{μ jb}{c}

Go Radius of Journal in Terms of Coefficient of Friction Variable

r = CFV \cdot \frac{c}{μ jb}

Go Radial Clearance in Terms of Coefficient of Friction Variable of Bearing

c = r \cdot \frac{μ jb}{CFV}

How to Evaluate Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal?

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal evaluator uses Flow Variable = (2*pi*Flow of Lubricant into Clearance Space)/(Radius of Journal*Radial clearance for bearing*Journal Speed*Axial Length of Bearing) to evaluate the Flow Variable, The Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal formula is defined as the ratio of flow of lubricant into the clearance space to the product of radius of journal, radial clearance, journal speed, and axial length of bearing. Flow Variable is denoted by FV symbol.

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

FAQs on Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal

What is the formula to find Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal?

The formula of Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal is expressed as Flow Variable = (2*pi*Flow of Lubricant into Clearance Space)/(Radius of Journal*Radial clearance for bearing*Journal Speed*Axial Length of Bearing). Here is an example- 4.281046 = (2*pi*5.24E-07)/(0.0255*2.4E-05*62.8318530685963*0.02).

How to calculate Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal?

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

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Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Formula

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Example

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Solution

Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal Formula Elements

Other formulas in Dimensionless Performance Parameters category

How to Evaluate Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal?

FAQs on Flow Variable in Terms of Flow of Lubricant in Clearance Space of Journal

Variable Name