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

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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. Check FAQs

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

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

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

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

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

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

523.872 = \frac{4.28 \cdot 25.5 \cdot 0.024 \cdot 10 \cdot 20}{2 \cdot 3.1416}

523.872mm³/s = \frac{4.28 \cdot 25.5mm \cdot 0.024mm \cdot 10rev/s \cdot 20mm}{2 \cdot 3.1416}

523.872 = \frac{4.28 \cdot 25.5 \cdot 0.024 \cdot 10 \cdot 20}{2 \cdot 3.1416}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q cs = \frac{4.28 \cdot 25.5mm \cdot 0.024mm \cdot 10rev/s \cdot 20mm}{2 \cdot π}

Next Step Substitute values of Constants

∴

Q cs = \frac{4.28 \cdot 25.5mm \cdot 0.024mm \cdot 10rev/s \cdot 20mm}{2 \cdot 3.1416}

Next Step Convert Units

∴

Q cs = \frac{4.28 \cdot 0.0255m \cdot 2.4E-5m \cdot 62.8319rad/s \cdot 0.02m}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

Q cs = \frac{4.28 \cdot 0.0255 \cdot 2.4E-5 \cdot 62.8319 \cdot 0.02}{2 \cdot 3.1416}

Next Step Evaluate

∴

Q cs = 5.23871999973323E-07m³/s

Next Step Convert to Output's Unit

∴

Q cs = 523.871999973323mm³/s

LAST Step Rounding Answer

∴

Q cs = 523.872mm³/s

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

Variables

Constants

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

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

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 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 Speed in Terms of Sommerfeld Number of Bearing

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

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

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

How to evaluate Flow of Lubricant in Clearance of Journal in Terms of Flow Variable using this online evaluator? To use this online evaluator for Flow of Lubricant in Clearance of Journal in Terms of Flow Variable, enter Flow Variable (FV), 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 of Lubricant in Clearance of Journal in Terms of Flow Variable

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

The formula of Flow of Lubricant in Clearance of Journal in Terms of Flow Variable is expressed as Flow of Lubricant into Clearance Space = (Flow Variable*Radius of Journal*Radial clearance for bearing*Journal Speed*Axial Length of Bearing)/(2*pi). Here is an example- 5.2E+11 = (4.28*0.0255*2.4E-05*62.8318530685963*0.02)/(2*pi).

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

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

Can the Flow of Lubricant in Clearance of Journal in Terms of Flow Variable be negative?

No, the Flow of Lubricant in Clearance of Journal in Terms of Flow Variable, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Flow of Lubricant in Clearance of Journal in Terms of Flow Variable?

Flow of Lubricant in Clearance of Journal in Terms of Flow Variable is usually measured using the Cubic Millimeter per Second[mm³/s] for Volumetric Flow Rate. Cubic Meter per Second[mm³/s], Cubic Meter per Day[mm³/s], Cubic Meter per Hour[mm³/s] are the few other units in which Flow of Lubricant in Clearance of Journal in Terms of Flow Variable can be measured.

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

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

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

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

Other formulas in Journal category

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

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

Variable Name