Leakage Velocity Calculator

✖Pressure Change is defined as the difference between final pressure and initial pressure. In differential form, it is represented as dP.ⓘ Pressure Change [dp]			+10% -10%
✖Radius of Seal is a radial line from the focus to any point of a curve.ⓘ Radius of Seal [r_seal]			+10% -10%
✖Incremental Length in Direction of Velocity is defined as a length increase in velocity direction.ⓘ Incremental Length in Direction of Velocity [dl]			+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%

✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Leakage Velocity [v]

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Formula

✖

Leakage Velocity

Formula

`"v" = (("dp")*"r"_{"seal"}^2)/(8*"dl"*"μ")`

Example

`"149572.6m/s"=(("0.14MPa")*("10mm")^2)/(8*"1.5mm"*"7.8cP")`

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Leakage Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals)
v = ((dp)*r_seal^2)/(8*dl*μ)
This formula uses 5 Variables

Variables Used

Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Pressure Change - (Measured in Pascal) - Pressure Change is defined as the difference between final pressure and initial pressure. In differential form, it is represented as dP.
Radius of Seal - (Measured in Meter) - Radius of Seal is a radial line from the focus to any point of a curve.
Incremental Length in Direction of Velocity - (Measured in Meter) - Incremental Length in Direction of Velocity is defined as a length increase in velocity direction.
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

Pressure Change: 0.14 Megapascal --> 140000 Pascal (Check conversion here)
Radius of Seal: 10 Millimeter --> 0.01 Meter (Check conversion here)
Incremental Length in Direction of Velocity: 1.5 Millimeter --> 0.0015 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

v = ((dp)*r_seal^2)/(8*dl*μ) --> ((140000)*0.01^2)/(8*0.0015*0.0078)

Evaluating ... ...

v = 149572.64957265

STEP 3: Convert Result to Output's Unit

149572.64957265 Meter per Second --> No Conversion Required

FINAL ANSWER

149572.64957265 ≈ 149572.6 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Straight Cut Sealings » Leakage Velocity

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Created by sanjay shiva

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

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< 15 Straight Cut Sealings Calculators

Modulus of Elasticity given Stress in Seal Ring

Go Modulus of Elasticity = (Stress in seal ring*Radial Ring Wall Thickness*(Outside Diameter of Seal Ring/Radial Ring Wall Thickness-1)^2)/(0.4815*Radial Clearance for Seals)

Radial Clearance given Stress in Seal Ring

Go Radial Clearance for Seals = (Stress in seal ring*Radial Ring Wall Thickness*(Outside Diameter of Seal Ring/Radial Ring Wall Thickness-1)^2)/(0.4815*Modulus of Elasticity)

Stress in Seal Ring

Go Stress in seal ring = (0.4815*Radial Clearance for Seals*Modulus of Elasticity)/(Radial Ring Wall Thickness*(Outside Diameter of Seal Ring/Radial Ring Wall Thickness-1)^2)

Outer Diameter of Seal Ring given Loss of Liquid Head

Go Outside Diameter of Seal Ring = sqrt((64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Loss of Liquid Head))

Radius given Leakage Velocity

Go Radius of Seal = sqrt((8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals*Velocity)/(Pressure Change))

Absolute Viscosity given Loss of Liquid Head

Go Absolute Viscosity of Oil in Seals = (2*[g]*Density Of Liquid*Loss of Liquid Head*Outside Diameter of Seal Ring^2)/(64*Velocity)

Density of Liquid given Loss of Liquid Head

Go Density Of Liquid = (64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Loss of Liquid Head*Outside Diameter of Seal Ring^2)

Loss of Liquid Head

Go Loss of Liquid Head = (64*Absolute Viscosity of Oil in Seals*Velocity)/(2*[g]*Density Of Liquid*Outside Diameter of Seal Ring^2)

Incremental Length in Direction of Velocity given Leakage Velocity

Go Incremental Length in Direction of Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Velocity*Absolute Viscosity of Oil in Seals)

Change in Pressure given Leakage Velocity

Go Pressure Change = (8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals*Velocity)/(Radius of Seal^2)

Absolute Viscosity given Leakage Velocity

Go Absolute Viscosity of Oil in Seals = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Velocity)

Leakage Velocity

Go Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals)

Area of Seal in contact with Sliding member given Leakage

Go Area = Discharge through Orifice/Velocity

Velocity given Leakage

Go Velocity = Discharge through Orifice/Area

Quantity of Leakage

Go Discharge through Orifice = Velocity*Area

Leakage Velocity Formula

Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals)
v = ((dp)*r_seal^2)/(8*dl*μ)

What is Leakage velocity?

The Leakage velocity is defined as the leakage mass flow rate and the velocity distribution for a centered position.

How to Calculate Leakage Velocity?

Leakage Velocity calculator uses Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals) to calculate the Velocity, The Leakage Velocity formula is defined as the leakage mass flow rate and the velocity distribution for a centered position. Velocity is denoted by v symbol.

How to calculate Leakage Velocity using this online calculator? To use this online calculator for Leakage Velocity, enter Pressure Change (dp), Radius of Seal (r_seal), Incremental Length in Direction of Velocity (dl) & Absolute Viscosity of Oil in Seals (μ) and hit the calculate button. Here is how the Leakage Velocity calculation can be explained with given input values -> 149572.6 = ((140000)*0.01^2)/(8*0.0015*0.0078).

FAQ

What is Leakage Velocity?

The Leakage Velocity formula is defined as the leakage mass flow rate and the velocity distribution for a centered position and is represented as v = ((dp)*r_seal^2)/(8*dl*μ) or Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals). Pressure Change is defined as the difference between final pressure and initial pressure. In differential form, it is represented as dP, Radius of Seal is a radial line from the focus to any point of a curve, Incremental Length in Direction of Velocity is defined as a length increase in velocity direction & 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 Velocity?

The Leakage Velocity formula is defined as the leakage mass flow rate and the velocity distribution for a centered position is calculated using Velocity = ((Pressure Change)*Radius of Seal^2)/(8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals). To calculate Leakage Velocity, you need Pressure Change (dp), Radius of Seal (r_seal), Incremental Length in Direction of Velocity (dl) & Absolute Viscosity of Oil in Seals (μ). With our tool, you need to enter the respective value for Pressure Change, Radius of Seal, Incremental Length in Direction of Velocity & 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.

How many ways are there to calculate Velocity?

In this formula, Velocity uses Pressure Change, Radius of Seal, Incremental Length in Direction of Velocity & Absolute Viscosity of Oil in Seals. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity = Discharge through Orifice/Area

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