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Leakage of Fluid past Rod Formula

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Fluid Leakage From Packingless Seals is the fluid leaking from the packingless seal. Check FAQs

Q l = \frac{π \cdot c^{3}}{12} \cdot (p 1 - p 2) \cdot \frac{d}{l \cdot μ}

Q_l - Fluid Leakage From Packingless Seals?c - Radial Clearance For Seals?p₁ - Fluid Pressure 1 For Seal?p₂ - Fluid Pressure 2 For Seal?d - Diameter of Seal Bolt?l - Depth of U Collar?μ - Absolute Viscosity of Oil in Seals?π - Archimedes' constant?

Leakage of Fluid past Rod Example

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Here is how the Leakage of Fluid past Rod equation looks like with Values.

Here is how the Leakage of Fluid past Rod equation looks like with Units.

Here is how the Leakage of Fluid past Rod equation looks like.

1.6E+12 = \frac{3.1416 \cdot {0.9}^{3}}{12} \cdot (200.8501 - 2.85) \cdot \frac{12.6}{0.0383 \cdot 7.8}

1.6E+12mm³/s = \frac{3.1416 \cdot {0.9mm}^{3}}{12} \cdot (200.8501MPa - 2.85MPa) \cdot \frac{12.6mm}{0.0383mm \cdot 7.8cP}

1.6E+12 = \frac{3.1416 \cdot {0.9}^{3}}{12} \cdot (200.8501 - 2.85) \cdot \frac{12.6}{0.0383 \cdot 7.8}

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Home » Physics » Mechanical » Design of Machine Elements » Leakage of Fluid past Rod

Leakage of Fluid past Rod Solution

Follow our step by step solution on how to calculate Leakage of Fluid past Rod?

FIRST Step Consider the formula

Q l = \frac{π \cdot c^{3}}{12} \cdot (p 1 - p 2) \cdot \frac{d}{l \cdot μ}

Next Step Substitute values of Variables

∴

Q l = \frac{π \cdot {0.9mm}^{3}}{12} \cdot (200.8501MPa - 2.85MPa) \cdot \frac{12.6mm}{0.0383mm \cdot 7.8cP}

Next Step Substitute values of Constants

∴

Q l = \frac{3.1416 \cdot {0.9mm}^{3}}{12} \cdot (200.8501MPa - 2.85MPa) \cdot \frac{12.6mm}{0.0383mm \cdot 7.8cP}

Next Step Convert Units

∴

Q l = \frac{3.1416 \cdot {0.0009m}^{3}}{12} \cdot (2E+8Pa - 2.9E+6Pa) \cdot \frac{0.0126m}{3.8E-5m \cdot 0.0078Pa*s}

Next Step Prepare to Evaluate

∴

Q l = \frac{3.1416 \cdot {0.0009}^{3}}{12} \cdot (2E+8 - 2.9E+6) \cdot \frac{0.0126}{3.8E-5 \cdot 0.0078}

Next Step Evaluate

∴

Q l = 1595.40092539391m³/s

Next Step Convert to Output's Unit

∴

Q l = 1595400925393.91mm³/s

LAST Step Rounding Answer

∴

Q l = 1.6E+12mm³/s

Leakage of Fluid past Rod Formula Elements

Variables

Constants

Fluid Leakage From Packingless Seals

Fluid Leakage From Packingless Seals is the fluid leaking from the packingless seal.

Symbol: Q_l

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Radial Clearance For Seals

Radial Clearance For Seals is a measured value of the total clearance in the seal used.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Fluid Pressure 1 For Seal

Fluid Pressure 1 For Seal refers to the pressure exerted by the fluid on one side of the packingless seal.

Symbol: p₁

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Fluid Pressure 2 For Seal

Fluid Pressure 2 For Seal refers to the pressure exerted by the fluid on the other side of the packingless seal.

Symbol: p₂

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Diameter of Seal Bolt

Diameter of Seal Bolt is the nominal diameter of the bolt used in the packingless seal.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Depth of U Collar

The Depth of U Collar is the distance from the top or surface to the bottom of U collar.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Absolute Viscosity of Oil in Seals

The Absolute Viscosity of Oil in Seals represents the ratio of a fluid's shear stress to its velocity gradient. It is a fluid's internal flow resistance.

Symbol: μ

Measurement: Dynamic ViscosityUnit: cP

Note: Value should be greater than 0.

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

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Created by

national institute of technology hamirpur (NITH ), Hamirpur, Himachal Pradesh

sanjay shiva has created this Formula and 100+ more formulas!

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other formulas in Packingless Seals category

Go Diameter of Bolt given Leakage of Fluid

d = \frac{12 \cdot l \cdot μ \cdot Q l}{π \cdot c^{3} \cdot (p 1 - p 2)}

Go Depth of U Collar given Leakage

l = \frac{π \cdot c^{3}}{12} \cdot (p 1 - p 2) \cdot \frac{d}{μ \cdot Q l}

How to Evaluate Leakage of Fluid past Rod?

Leakage of Fluid past Rod evaluator uses Fluid Leakage From Packingless Seals = (pi*Radial Clearance For Seals^3)/12*(Fluid Pressure 1 For Seal-Fluid Pressure 2 For Seal)*Diameter of Seal Bolt/(Depth of U Collar*Absolute Viscosity of Oil in Seals) to evaluate the Fluid Leakage From Packingless Seals, Leakage of Fluid past Rod typically refers to the fluid that escapes around a cylindrical rod in a mechanical system, such as a piston or a valve stem, often due to an imperfect seal. The flow rate of the leakage can be influenced by factors such as the pressure difference, the viscosity of the fluid, and the dimensions of the gap between the rod and the surrounding cylinder. Fluid Leakage From Packingless Seals is denoted by Q_l symbol.

How to evaluate Leakage of Fluid past Rod using this online evaluator? To use this online evaluator for Leakage of Fluid past Rod, enter Radial Clearance For Seals (c), Fluid Pressure 1 For Seal (p₁), Fluid Pressure 2 For Seal (p₂), Diameter of Seal Bolt (d), Depth of U Collar (l) & Absolute Viscosity of Oil in Seals (μ) and hit the calculate button.

FAQs on Leakage of Fluid past Rod

What is the formula to find Leakage of Fluid past Rod?

The formula of Leakage of Fluid past Rod is expressed as Fluid Leakage From Packingless Seals = (pi*Radial Clearance For Seals^3)/12*(Fluid Pressure 1 For Seal-Fluid Pressure 2 For Seal)*Diameter of Seal Bolt/(Depth of U Collar*Absolute Viscosity of Oil in Seals). Here is an example- 1.1E+15 = (pi*0.0009^3)/12*(200850100-2850000)*0.0126/(3.8262E-05*0.0078).

How to calculate Leakage of Fluid past Rod?

With Radial Clearance For Seals (c), Fluid Pressure 1 For Seal (p₁), Fluid Pressure 2 For Seal (p₂), Diameter of Seal Bolt (d), Depth of U Collar (l) & Absolute Viscosity of Oil in Seals (μ) we can find Leakage of Fluid past Rod using the formula - Fluid Leakage From Packingless Seals = (pi*Radial Clearance For Seals^3)/12*(Fluid Pressure 1 For Seal-Fluid Pressure 2 For Seal)*Diameter of Seal Bolt/(Depth of U Collar*Absolute Viscosity of Oil in Seals). This formula also uses Archimedes' constant .

Can the Leakage of Fluid past Rod be negative?

No, the Leakage of Fluid past Rod, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Leakage of Fluid past Rod?

Leakage of Fluid past Rod 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 Leakage of Fluid past Rod can be measured.

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