Length of Pipe given Pressure Difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)
Lp = (ΔP*w*w)/(μviscosity*12*Vmean)
This formula uses 5 Variables
Variables Used
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
STEP 1: Convert Input(s) to Base Unit
Pressure Difference: 13.3 Newton per Square Meter --> 13.3 Pascal (Check conversion here)
Width: 3 Meter --> 3 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 32.4 Meter per Second --> 32.4 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = (ΔP*w*w)/(μviscosity*12*Vmean) --> (13.3*3*3)/(1.02*12*32.4)
Evaluating ... ...
Lp = 0.30183369644154
STEP 3: Convert Result to Output's Unit
0.30183369644154 Meter --> No Conversion Required
FINAL ANSWER
0.30183369644154 0.301834 Meter <-- Length of Pipe
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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20 Laminar Flow between Parallel Plates, both plates at rest Calculators

Distance between Plates given Pressure Head Drop
Go Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction))
Length of Pipe given Pressure Head Drop
Go Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)
Velocity Distribution Profile
Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))
Distance between Plates using Velocity Distribution Profile
Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
Length of Pipe given Pressure Difference
Go Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)
Distance between Plates given Pressure Difference
Go Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
Pressure Head Drop
Go Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid)
Pressure Difference
Go Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2)
Distance between Plates given Maximum Velocity between Plates
Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
Distance between Plates given Mean Velocity of Flow with Pressure Gradient
Go Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)
Distance between Plates given Discharge
Go Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
Discharge given Viscosity
Go Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)
Maximum Velocity between Plates
Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)
Distance between Plates given Shear Stress Distribution Profile
Go Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))
Shear Stress Distribution Profile
Go Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance)
Horizontal Distance given Shear Stress Distribution Profile
Go Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)
Maximum Shear Stress in fluid
Go Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width
Distance between Plates given Mean Velocity of Flow
Go Width = Discharge in Laminar Flow/Mean Velocity
Discharge given Mean Velocity of Flow
Go Discharge in Laminar Flow = Width*Mean Velocity
Maximum Velocity given Mean Velocity of Flow
Go Maximum Velocity = 1.5*Mean Velocity

Length of Pipe given Pressure Difference Formula

Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)
Lp = (ΔP*w*w)/(μviscosity*12*Vmean)

What is Laminar Flow?

Laminar flow is characterized by fluid particles following smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing. At low velocities, the fluid tends to flow without lateral mixing, and adjacent layers slide past one another like playing cards.

How to Calculate Length of Pipe given Pressure Difference?

Length of Pipe given Pressure Difference calculator uses Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity) to calculate the Length of Pipe, The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Pipe given Pressure Difference using this online calculator? To use this online calculator for Length of Pipe given Pressure Difference, enter Pressure Difference (ΔP), Width (w), Dynamic Viscosity viscosity) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Length of Pipe given Pressure Difference calculation can be explained with given input values -> 0.301834 = (13.3*3*3)/(1.02*12*32.4).

FAQ

What is Length of Pipe given Pressure Difference?
The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow and is represented as Lp = (ΔP*w*w)/(μviscosity*12*Vmean) or Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity). Pressure Difference is the difference in pressure intensities at two different points in a liquid, Width is the measurement or extent of something from side to side, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
How to calculate Length of Pipe given Pressure Difference?
The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow is calculated using Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity). To calculate Length of Pipe given Pressure Difference, you need Pressure Difference (ΔP), Width (w), Dynamic Viscosity viscosity) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Pressure Difference, Width, Dynamic Viscosity & Mean Velocity 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 Length of Pipe?
In this formula, Length of Pipe uses Pressure Difference, Width, Dynamic Viscosity & Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)
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