Change in Pressure given Leakage Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Change = (Velocity*8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)/((Radius of Seal)^2)
dp = (v*8*(dl)*μ)/((rseal)^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.
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.
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.
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
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
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)
Radius of Seal: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dp = (v*8*(dl)*μ)/((rseal)^2) --> (60*8*(0.0015)*0.0078)/((0.01)^2)
Evaluating ... ...
dp = 56.16
STEP 3: Convert Result to Output's Unit
56.16 Pascal -->5.616E-05 Megapascal (Check conversion here)
FINAL ANSWER
5.616E-05 5.6E-5 Megapascal <-- Pressure Change
(Calculation completed in 00.004 seconds)

Credits

Created by sanjay shiva
national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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16 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/(.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/(.4815*Modulus of Elasticity)
Stress in seal ring
Go Stress in seal ring = .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*Loss of Liquid Head))
Radius given Leakage Velocity
Go Radius of Seal = sqrt((Velocity*8*Incremental Length in Direction of Velocity*Absolute Viscosity of Oil in Seals)/(Pressure Change))
Density of Liquid given Loss of Liquid Head
Go Density = (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*(Outside Diameter of Seal Ring)^2)
Absolute Viscosity given Loss of Liquid head
Go Absolute Viscosity of Oil in Seals = Loss of Liquid Head*2*[g]*Density*(Outside Diameter of Seal Ring)^2/(64*Velocity)
Incremental length in direction of velocity terms of leakage velocity
Go Incremental Length in Direction of Velocity = (Pressure Change)*(Radius of Seal)^2/(8*(Velocity)*Absolute Viscosity of Oil in Seals)
Incremental length in direction of 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 = (Velocity*8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)/((Radius of Seal)^2)
Leakage velocity
Go Velocity = (Pressure Change)*(Radius of Seal)^2/(8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)
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)
Area of Seal in contact with Sliding member given Leakage
Go Area = Velocity/Discharge through Orifice
Velocity given Leakage
Go Velocity = Area/Discharge through Orifice
Quantity of leakage
Go Discharge through Orifice = Velocity*Area

Change in Pressure given Leakage Velocity Formula

Pressure Change = (Velocity*8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)/((Radius of Seal)^2)
dp = (v*8*(dl)*μ)/((rseal)^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 = (Velocity*8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)/((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 Velocity (v), Incremental Length in Direction of Velocity (dl), Absolute Viscosity of Oil in Seals (μ) & Radius of Seal (rseal) and hit the calculate button. Here is how the Change in Pressure given Leakage Velocity calculation can be explained with given input values -> 5.6E-11 = (60*8*(0.0015)*0.0078)/((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 = (v*8*(dl)*μ)/((rseal)^2) or Pressure Change = (Velocity*8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)/((Radius of Seal)^2). 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, 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 & 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 = (Velocity*8*(Incremental Length in Direction of Velocity)*Absolute Viscosity of Oil in Seals)/((Radius of Seal)^2). To calculate Change in Pressure given Leakage Velocity, you need Velocity (v), Incremental Length in Direction of Velocity (dl), Absolute Viscosity of Oil in Seals (μ) & Radius of Seal (rseal). With our tool, you need to enter the respective value for Velocity, Incremental Length in Direction of Velocity, Absolute Viscosity of Oil in Seals & 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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