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Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Formula

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Outer Radius of Rotating Member Inside Bush Seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal. Check FAQs

r 2 = {(\frac{P l}{\frac{π \cdot ν \cdot w^{2}}{13200 \cdot t}} + {r 1}^{4})}^{\frac{1}{4}}

r₂ - Outer Radius of Rotating Member Inside Bush Seal?P_l - Power Loss For Seal?ν - Kinematic Viscosity of Bush Seal Fluid?w - Nominal Packing Cross Section of Bush Seal?t - Thickness of Fluid Between Members?r₁ - Inner Radius of Rotating Member Inside Bush Seal?π - Archimedes' constant?

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Example

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Here is how the Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal equation looks like with Values.

Here is how the Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal equation looks like with Units.

Here is how the Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal equation looks like.

20.0026 = {(\frac{7.9E-16}{\frac{3.1416 \cdot 7.25 \cdot {8.5}^{2}}{13200 \cdot 1.92}} + 14^{4})}^{\frac{1}{4}}

20.0026mm = {(\frac{7.9E-16W}{\frac{3.1416 \cdot 7.25St \cdot {8.5mm}^{2}}{13200 \cdot 1.92mm}} + {14mm}^{4})}^{\frac{1}{4}}

20.0026 = {(\frac{7.9E-16}{\frac{3.1416 \cdot 7.25 \cdot {8.5}^{2}}{13200 \cdot 1.92}} + 14^{4})}^{\frac{1}{4}}

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Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Solution

Follow our step by step solution on how to calculate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

FIRST Step Consider the formula

r 2 = {(\frac{P l}{\frac{π \cdot ν \cdot w^{2}}{13200 \cdot t}} + {r 1}^{4})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

r 2 = {(\frac{7.9E-16W}{\frac{π \cdot 7.25St \cdot {8.5mm}^{2}}{13200 \cdot 1.92mm}} + {14mm}^{4})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

r 2 = {(\frac{7.9E-16W}{\frac{3.1416 \cdot 7.25St \cdot {8.5mm}^{2}}{13200 \cdot 1.92mm}} + {14mm}^{4})}^{\frac{1}{4}}

Next Step Convert Units

∴

r 2 = {(\frac{7.9E-16W}{\frac{3.1416 \cdot 0.0007m²/s \cdot {0.0085m}^{2}}{13200 \cdot 0.0019m}} + {0.014m}^{4})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

r 2 = {(\frac{7.9E-16}{\frac{3.1416 \cdot 0.0007 \cdot {0.0085}^{2}}{13200 \cdot 0.0019}} + {0.014}^{4})}^{\frac{1}{4}}

Next Step Evaluate

∴

r 2 = 0.0200026258083372m

Next Step Convert to Output's Unit

∴

r 2 = 20.0026258083372mm

LAST Step Rounding Answer

∴

r 2 = 20.0026mm

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Formula Elements

Variables

Constants

Outer Radius of Rotating Member Inside Bush Seal

Outer Radius of Rotating Member Inside Bush Seal is the radius of the outer surface of the shaft rotating inside a bushed packing seal.

Symbol: r₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Rotating Member Inside Bush Seal

Power Loss For Seal

Power Loss For Seal is the loss of power consumed due to leakage of fluid through face seal.

Symbol: P_l

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Loss For Seal

Kinematic Viscosity of Bush Seal Fluid

Kinematic Viscosity of Bush Seal Fluid is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity of Bush Seal Fluid

Nominal Packing Cross Section of Bush Seal

Nominal Packing Cross Section of Bush Seal is a surface or shape exposed by making a straight cut through something, especially at right angles to an axis.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal Packing Cross Section of Bush Seal

Thickness of Fluid Between Members

Thickness of Fluid Between Members refers to how resistant a fluid is to moving through it. For example, Water has a low or "thin" viscosity, while honey has a "thick" or high viscosity.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Fluid Between Members

Inner Radius of Rotating Member Inside Bush Seal

Inner Radius of Rotating Member Inside Bush Seal is the radius of the inner surface of the shaft rotating inside a bushed packing seal.

Symbol: r₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Radius of Rotating Member Inside Bush Seal

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 Leakage through Bush Seals category

Go Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{l} \cdot q

Go Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition

Q = \frac{2 \cdot π \cdot a \cdot (P s - \frac{P e}{10^{6}})}{a - b} \cdot q

Go Volumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{P s + P e}{P e}

Go Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid

q = \frac{c^{3}}{12 \cdot μ} \cdot \frac{a - b}{a \cdot \ln (\frac{a}{b})}

How to Evaluate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal evaluator uses Outer Radius of Rotating Member Inside Bush Seal = (Power Loss For Seal/((pi*Kinematic Viscosity of Bush Seal Fluid*Nominal Packing Cross Section of Bush Seal^2)/(13200*Thickness of Fluid Between Members))+Inner Radius of Rotating Member Inside Bush Seal^4)^(1/4) to evaluate the Outer Radius of Rotating Member Inside Bush Seal, The Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal formula is defined as the distance from the center of the rotating member to its outermost edge or boundary. Outer Radius of Rotating Member Inside Bush Seal is denoted by r₂ symbol.

How to evaluate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal using this online evaluator? To use this online evaluator for Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal, enter Power Loss For Seal (P_l), Kinematic Viscosity of Bush Seal Fluid (ν), Nominal Packing Cross Section of Bush Seal (w), Thickness of Fluid Between Members (t) & Inner Radius of Rotating Member Inside Bush Seal (r₁) and hit the calculate button.

FAQs on Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal

What is the formula to find Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

The formula of Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal is expressed as Outer Radius of Rotating Member Inside Bush Seal = (Power Loss For Seal/((pi*Kinematic Viscosity of Bush Seal Fluid*Nominal Packing Cross Section of Bush Seal^2)/(13200*Thickness of Fluid Between Members))+Inner Radius of Rotating Member Inside Bush Seal^4)^(1/4). Here is an example- 2.2E+8 = (7.9E-16/((pi*0.000725*0.0085^2)/(13200*0.00192))+0.014^4)^(1/4).

How to calculate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

With Power Loss For Seal (P_l), Kinematic Viscosity of Bush Seal Fluid (ν), Nominal Packing Cross Section of Bush Seal (w), Thickness of Fluid Between Members (t) & Inner Radius of Rotating Member Inside Bush Seal (r₁) we can find Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal using the formula - Outer Radius of Rotating Member Inside Bush Seal = (Power Loss For Seal/((pi*Kinematic Viscosity of Bush Seal Fluid*Nominal Packing Cross Section of Bush Seal^2)/(13200*Thickness of Fluid Between Members))+Inner Radius of Rotating Member Inside Bush Seal^4)^(1/4). This formula also uses Archimedes' constant .

Can the Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal be negative?

No, the Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal, measured in Length cannot be negative.

Which unit is used to measure Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal can be measured.

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Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Formula

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Example

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Solution

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal Formula Elements

Other formulas in Leakage through Bush Seals category

How to Evaluate Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal?

FAQs on Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal

Variable Name