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Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Formula

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Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity. Check FAQs

P 2 = P i + \frac{3 \cdot ρ \cdot ω^{2}}{20} \cdot ({r 2}^{2} - {r 1}^{2}) \cdot 1000

P₂ - Internal Hydraulic Pressure?P_i - Pressure at Seal Inside Radius?ρ - Seal Fluid Density?ω - Rotational Speed of Shaft Inside Seal?r₂ - Outer Radius of Rotating Member Inside Bush Seal?r₁ - Inner Radius of Rotating Member Inside Bush Seal?

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Example

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Here is how the Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal equation looks like with Values.

Here is how the Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal equation looks like with Units.

Here is how the Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal equation looks like.

0.1893 = 2E-7 + \frac{3 \cdot 1100 \cdot 75^{2}}{20} \cdot (20^{2} - 14^{2}) \cdot 1000

0.1893MPa = 2E-7MPa + \frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20} \cdot ({20mm}^{2} - {14mm}^{2}) \cdot 1000

0.1893 = 2E-7 + \frac{3 \cdot 1100 \cdot 75^{2}}{20} \cdot (20^{2} - 14^{2}) \cdot 1000

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Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Solution

Follow our step by step solution on how to calculate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

FIRST Step Consider the formula

P 2 = P i + \frac{3 \cdot ρ \cdot ω^{2}}{20} \cdot ({r 2}^{2} - {r 1}^{2}) \cdot 1000

Next Step Substitute values of Variables

∴

P 2 = 2E-7MPa + \frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20} \cdot ({20mm}^{2} - {14mm}^{2}) \cdot 1000

Next Step Convert Units

∴

P 2 = 0.2Pa + \frac{3 \cdot 1100kg/m³ \cdot {75rad/s}^{2}}{20} \cdot ({0.02m}^{2} - {0.014m}^{2}) \cdot 1000

Next Step Prepare to Evaluate

∴

P 2 = 0.2 + \frac{3 \cdot 1100 \cdot 75^{2}}{20} \cdot ({0.02}^{2} - {0.014}^{2}) \cdot 1000

Next Step Evaluate

∴

P 2 = 189337.7Pa

Next Step Convert to Output's Unit

∴

P 2 = 0.1893377MPa

LAST Step Rounding Answer

∴

P 2 = 0.1893MPa

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Formula Elements

Variables

Internal Hydraulic Pressure

Internal Hydraulic Pressure pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.

Symbol: P₂

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Internal Hydraulic Pressure

Pressure at Seal Inside Radius

Pressure at Seal Inside Radius is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Pressure at Seal Inside Radius

Seal Fluid Density

Seal Fluid Density is the corresponding density of the fluid under the given conditions inside the seal.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Seal Fluid Density

Rotational Speed of Shaft Inside Seal

Rotational Speed of Shaft Inside Seal is the angular velocity of the shaft rotating inside a packing seal.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Rotational Speed of Shaft Inside Seal

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

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

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 Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal evaluator uses Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational Speed of Shaft Inside Seal^2)/20*(Outer Radius of Rotating Member Inside Bush Seal^2-Inner Radius of Rotating Member Inside Bush Seal^2)*1000 to evaluate the Internal Hydraulic Pressure, Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal formula is defined as force imparted per unit area of a liquid on the surfaces with which it has contact. Internal Hydraulic Pressure is denoted by P₂ symbol.

How to evaluate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal using this online evaluator? To use this online evaluator for Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal, enter Pressure at Seal Inside Radius (P_i), Seal Fluid Density (ρ), Rotational Speed of Shaft Inside Seal (ω), Outer Radius of Rotating Member Inside Bush Seal (r₂) & Inner Radius of Rotating Member Inside Bush Seal (r₁) and hit the calculate button.

FAQs on Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal

What is the formula to find Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

The formula of Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal is expressed as Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational Speed of Shaft Inside Seal^2)/20*(Outer Radius of Rotating Member Inside Bush Seal^2-Inner Radius of Rotating Member Inside Bush Seal^2)*1000. Here is an example- 1.9E-7 = 0.2+(3*1100*75^2)/20*(0.02^2-0.014^2)*1000.

How to calculate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

With Pressure at Seal Inside Radius (P_i), Seal Fluid Density (ρ), Rotational Speed of Shaft Inside Seal (ω), Outer Radius of Rotating Member Inside Bush Seal (r₂) & Inner Radius of Rotating Member Inside Bush Seal (r₁) we can find Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal using the formula - Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational Speed of Shaft Inside Seal^2)/20*(Outer Radius of Rotating Member Inside Bush Seal^2-Inner Radius of Rotating Member Inside Bush Seal^2)*1000.

Can the Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal be negative?

No, the Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal, measured in Pressure cannot be negative.

Which unit is used to measure Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal can be measured.

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Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Formula

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Example

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Solution

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal Formula Elements

Other formulas in Leakage through Bush Seals category

How to Evaluate Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal?

FAQs on Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal

Variable Name