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Radius of Journal in Terms of Flow Variable Formula

GoRadius of Journal in Terms of Radial Clearance of Bearing Formula

GoRadius of Journal in Terms of Minimum Film Thickness of Bearing Formula

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The Radius of Journal is the radius of the journal (which rotates freely in a supporting metal sleeve or shell). Check FAQs

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

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

Radius of Journal in Terms of Flow Variable Example

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

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

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

25.5062 = 524 \cdot 2 \cdot \frac{3.1416}{4.28 \cdot 0.024 \cdot 10 \cdot 20}

25.5062mm = 524mm³/s \cdot 2 \cdot \frac{3.1416}{4.28 \cdot 0.024mm \cdot 10rev/s \cdot 20mm}

25.5062 = 524 \cdot 2 \cdot \frac{3.1416}{4.28 \cdot 0.024 \cdot 10 \cdot 20}

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Radius of Journal in Terms of Flow Variable Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = 524mm³/s \cdot 2 \cdot \frac{π}{4.28 \cdot 0.024mm \cdot 10rev/s \cdot 20mm}

Next Step Substitute values of Constants

∴

r = 524mm³/s \cdot 2 \cdot \frac{3.1416}{4.28 \cdot 0.024mm \cdot 10rev/s \cdot 20mm}

Next Step Convert Units

∴

r = 5.2E-7m³/s \cdot 2 \cdot \frac{3.1416}{4.28 \cdot 2.4E-5m \cdot 62.8319rad/s \cdot 0.02m}

Next Step Prepare to Evaluate

∴

r = 5.2E-7 \cdot 2 \cdot \frac{3.1416}{4.28 \cdot 2.4E-5 \cdot 62.8319 \cdot 0.02}

Next Step Evaluate

∴

r = 0.0255062305308939m

Next Step Convert to Output's Unit

∴

r = 25.5062305308939mm

LAST Step Rounding Answer

∴

r = 25.5062mm

Radius of Journal in Terms of Flow Variable Formula Elements

Variables

Constants

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

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

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 to find Radius of Journal

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}}

Other formulas in Journal category

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}

Go Journal Diameter given Unit Bearing Pressure

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

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

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

Go Journal Speed in Terms of Flow Variable

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

How to Evaluate Radius of Journal in Terms of Flow Variable?

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

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

FAQs on Radius of Journal in Terms of Flow Variable

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

The formula of Radius of Journal in Terms of Flow Variable is expressed as Radius of Journal = Flow of Lubricant into Clearance Space*2*pi/(Flow Variable*Radial clearance for bearing*Journal Speed*Axial Length of Bearing). Here is an example- 25506.23 = 5.24E-07*2*pi/(4.28*2.4E-05*62.8318530685963*0.02).

How to calculate Radius of Journal in Terms of Flow Variable?

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

What are the other ways to Calculate Radius of Journal?

Here are the different ways to Calculate Radius of Journal-

Radius of Journal=Radius of Bearing-Radial clearance for bearing
Radius of Journal=Radius of Bearing-(Eccentricity in bearing+Minimum Film Thickness)
Radius of Journal=Radial clearance for bearing*sqrt(2*pi*Sommerfeld Number of Journal Bearing*Unit bearing pressure for bearing/(Dynamic Viscosity of Lubricant*Journal Speed))

Can the Radius of Journal in Terms of Flow Variable be negative?

No, the Radius of Journal in Terms of Flow Variable, measured in Length cannot be negative.

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

Radius of Journal in Terms of Flow Variable is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Journal in Terms of Flow Variable can be measured.

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Radius of Journal in Terms of Flow Variable Formula

​GoRadius of Journal in Terms of Radial Clearance of Bearing Formula

​GoRadius of Journal in Terms of Minimum Film Thickness of Bearing Formula

Radius of Journal in Terms of Flow Variable Example

Radius of Journal in Terms of Flow Variable Solution

Radius of Journal in Terms of Flow Variable Formula Elements

Other Formulas to find Radius of Journal

Other formulas in Journal category

How to Evaluate Radius of Journal in Terms of Flow Variable?

FAQs on Radius of Journal in Terms of Flow Variable

Variable Name

GoRadius of Journal in Terms of Radial Clearance of Bearing Formula

GoRadius of Journal in Terms of Minimum Film Thickness of Bearing Formula