Leakage velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity = (Change in Pressure)*(Radius)^2/(8*(Incremental Length in Direction of Velocity)*Viscosity of oil)
v = (dP)*(r)^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.
Change in Pressure - (Measured in Pascal) - Change in Pressure is defined as the difference between final pressure and initial pressure. In differential form it is represented as dP.
Radius - (Measured in Meter) - Radius 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.
Viscosity of oil - (Measured in Pascal Second) - The Viscosity of oil is considered in the viscous or laminar flow.
STEP 1: Convert Input(s) to Base Unit
Change in Pressure: 100 Pascal --> 100 Pascal No Conversion Required
Radius: 10 Meter --> 10 Meter No Conversion Required
Incremental Length in Direction of Velocity: 7 Meter --> 7 Meter No Conversion Required
Viscosity of oil: 0.1 Newton Second per Meter² --> 0.1 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (dP)*(r)^2/(8*(dl)*μ) --> (100)*(10)^2/(8*(7)*0.1)
Evaluating ... ...
v = 1785.71428571429
STEP 3: Convert Result to Output's Unit
1785.71428571429 Meter per Second --> No Conversion Required
FINAL ANSWER
1785.71428571429 Meter per Second <-- Velocity
(Calculation completed in 00.138 seconds)

Credits

Created by sanjay shiva
national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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Outer diameter of seal ring in terms of loss of liquid head
Outside Diameter of Seal Ring = sqrt((64*Viscosity of oil*Velocity)/(2*[g]*Density*Loss of Liquid Head)) Go
Absolute viscosity in terms of loss of liquid head
Absolute Viscosity of Oil = Loss of Liquid Head*2*[g]*Density*(Outside Diameter of Seal Ring)^2/(64*Velocity) Go
Radius in terms of leakage velocity
Radius = sqrt((Velocity*8*Incremental Length in Direction of Velocity*Viscosity of oil)/(Change in Pressure)) Go
Density of liquid in terms of loss of liquid head
Density = (64*Viscosity of oil*Velocity)/(2*[g]*Loss of Liquid Head*(Outside Diameter of Seal Ring)^2) Go
Loss of liquid head
Loss of Liquid Head = (64*Viscosity of oil*Velocity)/(2*[g]*Density*(Outside Diameter of Seal Ring)^2) Go
Incremental length in direction of velocity terms of leakage velocity
Incremental Length in Direction of Velocity = (Change in Pressure)*(Radius)^2/(8*(Velocity)*Viscosity of oil) Go
Change in pressure in terms of leakage velocity
Change in Pressure = (Velocity*8*(Incremental Length in Direction of Velocity)*Viscosity of oil)/((Radius)^2) Go
Incremental length in direction of velocity
Incremental Length in Direction of Velocity = (Change in Pressure)*(Radius)^2/(8*(Velocity)*Viscosity of oil) Go
Leakage velocity
Velocity = (Change in Pressure)*(Radius)^2/(8*(Incremental Length in Direction of Velocity)*Viscosity of oil) Go
Absolute viscosity in terms of leakage velocity
Viscosity of oil = (Change in Pressure)*(Radius)^2/(8*Incremental Length in Direction of Velocity*Velocity) Go

Leakage velocity Formula

Velocity = (Change in Pressure)*(Radius)^2/(8*(Incremental Length in Direction of Velocity)*Viscosity of oil)
v = (dP)*(r)^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 = (Change in Pressure)*(Radius)^2/(8*(Incremental Length in Direction of Velocity)*Viscosity of oil) 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 Change in Pressure (dP), Radius (r), Incremental Length in Direction of Velocity (dl) & Viscosity of oil (μ) and hit the calculate button. Here is how the Leakage velocity calculation can be explained with given input values -> 1785.714 = (100)*(10)^2/(8*(7)*0.1).

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)^2/(8*(dl)*μ) or Velocity = (Change in Pressure)*(Radius)^2/(8*(Incremental Length in Direction of Velocity)*Viscosity of oil). Change in Pressure is defined as the difference between final pressure and initial pressure. In differential form it is represented as dP, Radius 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 Viscosity of oil is considered in the viscous or laminar flow.
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 = (Change in Pressure)*(Radius)^2/(8*(Incremental Length in Direction of Velocity)*Viscosity of oil). To calculate Leakage velocity, you need Change in Pressure (dP), Radius (r), Incremental Length in Direction of Velocity (dl) & Viscosity of oil (μ). With our tool, you need to enter the respective value for Change in Pressure, Radius, Incremental Length in Direction of Velocity & Viscosity of oil 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 Change in Pressure, Radius, Incremental Length in Direction of Velocity & Viscosity of oil. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity = Area/Discharge through orifice
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