Change in Pressure given Leakage Velocity Calculator

✖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.ⓘ Velocity [v]			+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%

✖Pressure Change is defined as the difference between final pressure and initial pressure. In differential form, it is represented as dP.ⓘ Change in Pressure given Leakage Velocity [dp]

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Formula

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Change in Pressure given Leakage Velocity

Formula

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

Example

`"0.000112MPa"=(8*("1.5mm")*"7.8cP"*"120m/s")/(("10mm")^2)`

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Change in Pressure given Leakage Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Radius of Seal - (Measured in Meter) - Radius of Seal is a radial line from the focus to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

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)
Velocity: 120 Meter per Second --> 120 Meter per Second No Conversion Required
Radius of Seal: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp = (8*(dl)*μ*v)/(r_seal^2) --> (8*(0.0015)*0.0078*120)/(0.01^2)

Evaluating ... ...

dp = 112.32

STEP 3: Convert Result to Output's Unit

112.32 Pascal -->0.00011232 Megapascal (Check conversion here)

FINAL ANSWER

0.00011232 ≈ 0.000112 Megapascal <-- Pressure Change

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Straight Cut Sealings » Change in Pressure given Leakage Velocity

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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

Change in Pressure given Leakage Velocity Formula

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

What is Fluid pressure?

Fluid pressure refers to the pressure exerted by both liquids and gas.The SI Unit of Pressure is the Pascal (Pa).

How to Calculate Change in Pressure given Leakage Velocity?

Change in Pressure given Leakage Velocity calculator uses Pressure Change = (8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals*Velocity)/(Radius of Seal^2) to calculate the Pressure Change, Change in Pressure given Leakage Velocity formula is defined as the pressure exerted by both liquids and gas. Pressure Change is denoted by dp symbol.

How to calculate Change in Pressure given Leakage Velocity using this online calculator? To use this online calculator for Change in Pressure given Leakage Velocity, enter Incremental Length in Direction of Velocity (dl), Absolute Viscosity of Oil in Seals (μ), Velocity (v) & Radius of Seal (r_seal) and hit the calculate button. Here is how the Change in Pressure given Leakage Velocity calculation can be explained with given input values -> 1.1E-10 = (8*(0.0015)*0.0078*120)/(0.01^2).

FAQ

What is Change in Pressure given Leakage Velocity?

Change in Pressure given Leakage Velocity formula is defined as the pressure exerted by both liquids and gas and is represented as dp = (8*(dl)*μ*v)/(r_seal^2) or Pressure Change = (8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals*Velocity)/(Radius of Seal^2). 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, 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 & Radius of Seal is a radial line from the focus to any point of a curve.

How to calculate Change in Pressure given Leakage Velocity?

Change in Pressure given Leakage Velocity formula is defined as the pressure exerted by both liquids and gas is calculated using Pressure Change = (8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals*Velocity)/(Radius of Seal^2). To calculate Change in Pressure given Leakage Velocity, you need Incremental Length in Direction of Velocity (dl), Absolute Viscosity of Oil in Seals (μ), Velocity (v) & Radius of Seal (r_seal). With our tool, you need to enter the respective value for Incremental Length in Direction of Velocity, Absolute Viscosity of Oil in Seals, Velocity & Radius of Seal 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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