Length of Pipe given Head Loss over Length of Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))
Lp = hlocation/((32*μviscosity*Vmean)/(γf*Dpipe^2))
This formula uses 6 Variables
Variables Used
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = hlocation/((32*μviscosity*Vmean)/(γf*Dpipe^2)) --> 1.9/((32*1.02*10.1)/(9810*1.01^2))
Evaluating ... ...
Lp = 57.6758272058823
STEP 3: Convert Result to Output's Unit
57.6758272058823 Meter --> No Conversion Required
FINAL ANSWER
57.6758272058823 57.67583 Meter <-- Length of Pipe
(Calculation completed in 00.019 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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20 Hagen–Poiseuille Equation Calculators

Diameter of Pipe given Head Loss over Length of Pipe with Discharge
Go Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4)
Dynamic Viscosity given Head Loss over Length of Pipe with Discharge
Go Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
Length of Pipe given Head Loss over Length of Pipe with Discharge
Go Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
Head Loss over Length of Pipe given Discharge
Go Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)
Diameter of Pipe given Head Loss over Length of Pipe
Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
Mean Velocity of Flow given Head Loss over Length of Pipe
Go Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
Dynamic Viscosity given Head Loss over Length of Pipe
Go Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
Length of Pipe given Head Loss over Length of Pipe
Go Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))
Specific Weight of Liquid given Head Loss over Length of Pipe
Go Specific Weight of Liquid = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Head Loss due to Friction*Diameter of Pipe^2)
Head Loss over Length of Pipe
Go Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)
Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge
Go Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge
Go Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in pipe*Length of Pipe)
Discharge given Pressure Drop over Length of Pipe
Go Discharge in pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4)))
Length of Pipe given Pressure Drop over Length of Pipe with Discharge
Go Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in pipe)
Pressure Drop over Length of Pipe given Discharge
Go Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4))
Diameter of Pipe given Pressure Drop over Length of Pipe
Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Dynamic Viscosity given Pressure Drop over Length of Pipe
Go Dynamic Viscosity = (Pressure Difference*(Diameter of Pipe^2))/(32*Length of Pipe*Mean Velocity)
Mean Velocity of Flow given Pressure Drop over Length of Pipe
Go Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))
Length of Pipe given Pressure Drop over Length of Pipe
Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Pressure drop over length of pipe
Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Length of Pipe given Head Loss over Length of Pipe Formula

Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))
Lp = hlocation/((32*μviscosity*Vmean)/(γf*Dpipe^2))

What is Head Loss ?

In fluid flow, friction loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to Calculate Length of Pipe given Head Loss over Length of Pipe?

Length of Pipe given Head Loss over Length of Pipe calculator uses Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2)) to calculate the Length of Pipe, The Length of Pipe given Head Loss over Length of Pipe is defined as total length of flow in pipe. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Pipe given Head Loss over Length of Pipe using this online calculator? To use this online calculator for Length of Pipe given Head Loss over Length of Pipe, enter Head Loss due to Friction (hlocation), Dynamic Viscosity viscosity), Mean Velocity (Vmean), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe) and hit the calculate button. Here is how the Length of Pipe given Head Loss over Length of Pipe calculation can be explained with given input values -> 88.03153 = 1.9/((32*1.02*10.1)/(9810*1.01^2)).

FAQ

What is Length of Pipe given Head Loss over Length of Pipe?
The Length of Pipe given Head Loss over Length of Pipe is defined as total length of flow in pipe and is represented as Lp = hlocation/((32*μviscosity*Vmean)/(γf*Dpipe^2)) or Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2)). The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, 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, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
How to calculate Length of Pipe given Head Loss over Length of Pipe?
The Length of Pipe given Head Loss over Length of Pipe is defined as total length of flow in pipe is calculated using Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2)). To calculate Length of Pipe given Head Loss over Length of Pipe, you need Head Loss due to Friction (hlocation), Dynamic Viscosity viscosity), Mean Velocity (Vmean), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe). With our tool, you need to enter the respective value for Head Loss due to Friction, Dynamic Viscosity, Mean Velocity, Specific Weight of Liquid & Diameter of Pipe 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 Head Loss due to Friction, Dynamic Viscosity, Mean Velocity, Specific Weight of Liquid & Diameter of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
  • Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in pipe)
  • Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
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