Leakage of Fluid past Rod Calculator

✖Radial Clearance For Seals is a measured value of the total clearance in the seal used.ⓘ Radial Clearance For Seals [c]			+10% -10%
✖Fluid Pressure 1 For Seal refers to the pressure exerted by the fluid on one side of the packingless seal.ⓘ Fluid Pressure 1 For Seal [p₁]			+10% -10%
✖Fluid Pressure 2 For Seal refers to the pressure exerted by the fluid on the other side of the packingless seal.ⓘ Fluid Pressure 2 For Seal [p₂]			+10% -10%
✖Diameter of Seal Bolt is the nominal diameter of the bolt used in the packingless seal.ⓘ Diameter of Seal Bolt [d]			+10% -10%
✖The Depth of U Collar is the distance from the top or surface to the bottom of U collar.ⓘ Depth of U Collar [l]			+10% -10%
✖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.ⓘ Absolute Viscosity of Oil in Seals [μ]			+10% -10%

✖Fluid Leakage From Packingless Seals is the fluid leaking from the packingless seal.ⓘ Leakage of Fluid past Rod [Q_l]

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Formula

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Leakage of Fluid past Rod

Formula

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

Example

1.6E+12 mm³/s = \frac{π \cdot {0.9 mm}^{3}}{12} \cdot (200.8501 MPa - 2.85 MPa) \cdot \frac{12.6 mm}{0.038262 mm \cdot 7.8 cP}

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Leakage of Fluid past Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_l = (pi*c^3)/12*(p₁-p₂)*d/(l*μ)
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Fluid Leakage From Packingless Seals - (Measured in Cubic Meter per Second) - Fluid Leakage From Packingless Seals is the fluid leaking from the packingless seal.
Radial Clearance For Seals - (Measured in Meter) - Radial Clearance For Seals is a measured value of the total clearance in the seal used.
Fluid Pressure 1 For Seal - (Measured in Pascal) - Fluid Pressure 1 For Seal refers to the pressure exerted by the fluid on one side of the packingless seal.
Fluid Pressure 2 For Seal - (Measured in Pascal) - Fluid Pressure 2 For Seal refers to the pressure exerted by the fluid on the other side of the packingless seal.
Diameter of Seal Bolt - (Measured in Meter) - Diameter of Seal Bolt is the nominal diameter of the bolt used in the packingless seal.
Depth of U Collar - (Measured in Meter) - The Depth of U Collar is the distance from the top or surface to the bottom of U collar.
Absolute Viscosity of Oil in Seals - (Measured in Pascal Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Radial Clearance For Seals: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Fluid Pressure 1 For Seal: 200.8501 Megapascal --> 200850100 Pascal (Check conversion here)
Fluid Pressure 2 For Seal: 2.85 Megapascal --> 2850000 Pascal (Check conversion here)
Diameter of Seal Bolt: 12.6 Millimeter --> 0.0126 Meter (Check conversion here)
Depth of U Collar: 0.038262 Millimeter --> 3.8262E-05 Meter (Check conversion here)
Absolute Viscosity of Oil in Seals: 7.8 Centipoise --> 0.0078 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_l = (pi*c^3)/12*(p₁-p₂)*d/(l*μ) --> (pi*0.0009^3)/12*(200850100-2850000)*0.0126/(3.8262E-05*0.0078)

Evaluating ... ...

Q_l = 1595.40092539391

STEP 3: Convert Result to Output's Unit

1595.40092539391 Cubic Meter per Second -->1595400925393.91 Cubic Millimeter per Second (Check conversion here)

FINAL ANSWER

1595400925393.91 ≈ 1.6E+12 Cubic Millimeter per Second <-- Fluid Leakage From Packingless Seals

(Calculation completed in 00.020 seconds)

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

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Created by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Packingless Seals Calculators

Radial Clearance given Leakage

Go Radial Clearance For Seals = ((12*Depth of U Collar*Absolute Viscosity of Oil in Seals*Fluid Leakage From Packingless Seals)/(pi*Diameter of Seal Bolt*Fluid Pressure 1 For Seal-Fluid Pressure 2 For Seal))^(1/3)

Diameter of Bolt given Leakage of Fluid

Go Diameter of Seal Bolt = (12*Depth of U Collar*Absolute Viscosity of Oil in Seals*Fluid Leakage From Packingless Seals)/(pi*Radial Clearance For Seals^3*(Fluid Pressure 1 For Seal-Fluid Pressure 2 For Seal))

Depth of U Collar given Leakage

Go Depth of U Collar = (pi*Radial Clearance For Seals^3)/12*(Fluid Pressure 1 For Seal-Fluid Pressure 2 For Seal)*Diameter of Seal Bolt/(Absolute Viscosity of Oil in Seals*Fluid Leakage From Packingless Seals)

Leakage of Fluid past Rod

Go 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)

Leakage of Fluid past Rod Formula

What is Leakage of fluid past a rod?

The Leakage of fluid past a rod formula is defined as the act or an instance of leaking.An amount lost as the result of leaking.

How to Calculate Leakage of Fluid past Rod?

Leakage of Fluid past Rod calculator 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 calculate 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 calculate Leakage of Fluid past Rod using this online calculator? To use this online calculator 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. Here is how the Leakage of Fluid past Rod calculation can be explained with given input values -> 1.1E+15 = (pi*0.0009^3)/12*(200850100-2850000)*0.0126/(3.8262E-05*0.0078).

FAQ

What is Leakage of Fluid past Rod?

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 and is represented as Q_l = (pi*c^3)/12*(p₁-p₂)*d/(l*μ) or 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). Radial Clearance For Seals is a measured value of the total clearance in the seal used, Fluid Pressure 1 For Seal refers to the pressure exerted by the fluid on one side of the packingless seal, Fluid Pressure 2 For Seal refers to the pressure exerted by the fluid on the other side of the packingless seal, Diameter of Seal Bolt is the nominal diameter of the bolt used in the packingless seal, The Depth of U Collar is the distance from the top or surface to the bottom of U collar & 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.

How to calculate Leakage of Fluid past Rod?

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 is calculated using 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 calculate Leakage of Fluid past Rod, you need 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). With our tool, you need to enter the respective value for Radial Clearance For Seals, Fluid Pressure 1 For Seal, Fluid Pressure 2 For Seal, Diameter of Seal Bolt, Depth of U Collar & Absolute Viscosity of Oil in Seals and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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