Radius given Leakage Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Seal = sqrt((8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals*Velocity)/(Pressure Change))
rseal = sqrt((8*dl*μ*v)/(dp))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
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
Pressure Change: 0.14 Megapascal --> 140000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rseal = sqrt((8*dl*μ*v)/(dp)) --> sqrt((8*0.0015*0.0078*120)/(140000))
Evaluating ... ...
rseal = 0.000283246485289
STEP 3: Convert Result to Output's Unit
0.000283246485289 Meter -->0.283246485289 Millimeter (Check conversion ​here)
FINAL ANSWER
0.283246485289 0.283246 Millimeter <-- Radius of Seal
(Calculation completed in 00.004 seconds)

Credits

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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

Radius given Leakage Velocity Formula

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

What is Radius?

The Radius in terms of leakage velocity formula is defined as radial line from the focus to any point of a curve.

How to Calculate Radius given Leakage Velocity?

Radius given Leakage Velocity calculator uses Radius of Seal = sqrt((8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals*Velocity)/(Pressure Change)) to calculate the Radius of Seal, The Radius given Leakage Velocity formula is defined as radial line from the focus to any point of a curve. Radius of Seal is denoted by rseal symbol.

How to calculate Radius given Leakage Velocity using this online calculator? To use this online calculator for Radius given Leakage Velocity, enter Incremental Length in Direction of Velocity (dl), Absolute Viscosity of Oil in Seals (μ), Velocity (v) & Pressure Change (dp) and hit the calculate button. Here is how the Radius given Leakage Velocity calculation can be explained with given input values -> 283.2465 = sqrt((8*0.0015*0.0078*120)/(140000)).

FAQ

What is Radius given Leakage Velocity?
The Radius given Leakage Velocity formula is defined as radial line from the focus to any point of a curve and is represented as rseal = sqrt((8*dl*μ*v)/(dp)) or Radius of Seal = sqrt((8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals*Velocity)/(Pressure Change)). 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 & Pressure Change is defined as the difference between final pressure and initial pressure. In differential form, it is represented as dP.
How to calculate Radius given Leakage Velocity?
The Radius given Leakage Velocity formula is defined as radial line from the focus to any point of a curve is calculated using Radius of Seal = sqrt((8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals*Velocity)/(Pressure Change)). To calculate Radius given Leakage Velocity, you need Incremental Length in Direction of Velocity (dl), Absolute Viscosity of Oil in Seals (μ), Velocity (v) & Pressure Change (dp). With our tool, you need to enter the respective value for Incremental Length in Direction of Velocity, Absolute Viscosity of Oil in Seals, Velocity & Pressure Change 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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