Head Loss over Length of Pipe given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)
hlocation = (128*μviscosity*Q*Lp)/(pi*γf*Dpipe^4)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Discharge in pipe - (Measured in Cubic Meter per Second) - Discharge in pipe is the rate of flow of a liquid.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Discharge in pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter 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
hlocation = (128*μviscosity*Q*Lp)/(pi*γf*Dpipe^4) --> (128*1.02*1.000001*0.1)/(pi*9810*1.01^4)
Evaluating ... ...
hlocation = 0.000407104778915965
STEP 3: Convert Result to Output's Unit
0.000407104778915965 Meter --> No Conversion Required
FINAL ANSWER
0.000407104778915965 0.000407 Meter <-- Head Loss due to Friction
(Calculation completed in 00.004 seconds)

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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))

Head Loss over Length of Pipe given Discharge Formula

Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)
hlocation = (128*μviscosity*Q*Lp)/(pi*γf*Dpipe^4)

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 Head Loss over Length of Pipe given Discharge?

Head Loss over Length of Pipe given Discharge calculator uses Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4) to calculate the Head Loss due to Friction, The Head Loss over Length of Pipe given discharge is defined as loss of energy due to friction in pipe across its entire length. Head Loss due to Friction is denoted by hlocation symbol.

How to calculate Head Loss over Length of Pipe given Discharge using this online calculator? To use this online calculator for Head Loss over Length of Pipe given Discharge, enter Dynamic Viscosity viscosity), Discharge in pipe (Q), Length of Pipe (Lp), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe) and hit the calculate button. Here is how the Head Loss over Length of Pipe given Discharge calculation can be explained with given input values -> 0.000407 = (128*1.02*1.000001*0.1)/(pi*9810*1.01^4).

FAQ

What is Head Loss over Length of Pipe given Discharge?
The Head Loss over Length of Pipe given discharge is defined as loss of energy due to friction in pipe across its entire length and is represented as hlocation = (128*μviscosity*Q*Lp)/(pi*γf*Dpipe^4) or Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Discharge in pipe is the rate of flow of a liquid, Length of Pipe describes the length of the pipe in which the liquid is flowing, 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 Head Loss over Length of Pipe given Discharge?
The Head Loss over Length of Pipe given discharge is defined as loss of energy due to friction in pipe across its entire length is calculated using Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4). To calculate Head Loss over Length of Pipe given Discharge, you need Dynamic Viscosity viscosity), Discharge in pipe (Q), Length of Pipe (Lp), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe). With our tool, you need to enter the respective value for Dynamic Viscosity, Discharge in pipe, Length of Pipe, 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 Head Loss due to Friction?
In this formula, Head Loss due to Friction uses Dynamic Viscosity, Discharge in pipe, Length of Pipe, Specific Weight of Liquid & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)
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