Head Loss over Length of Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)
h = (32*μ*Vmean*Lp)/(γf*Dpipe^2)
This formula uses 6 Variables
Variables Used
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to 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)
Mean Velocity: 10.1 Meter per Second --> 10.1 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
h = (32*μ*Vmean*Lp)/(γf*Dpipe^2) --> (32*1.02*10.1*0.1)/(9810*1.01^2)
Evaluating ... ...
h = 0.0032942743815666
STEP 3: Convert Result to Output's Unit
0.0032942743815666 Meter --> No Conversion Required
FINAL ANSWER
0.0032942743815666 0.003294 Meter <-- Head Loss due to Friction
(Calculation completed in 00.020 seconds)

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

Diameter of Pipe given Pressure Drop over Length of Pipe
​ LaTeX ​ Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Mean Velocity of Flow given Pressure Drop over Length of Pipe
​ LaTeX ​ 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
​ LaTeX ​ Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Pressure drop over length of pipe
​ LaTeX ​ Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Head Loss over Length of Pipe Formula

​LaTeX ​Go
Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)
h = (32*μ*Vmean*Lp)/(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 Head Loss over Length of Pipe?

Head Loss over Length of Pipe calculator uses Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2) to calculate the Head Loss due to Friction, The Head Loss over Length of Pipe is defined as loss of energy due to friction in pipe across its entire length. Head Loss due to Friction is denoted by h symbol.

How to calculate Head Loss over Length of Pipe using this online calculator? To use this online calculator for Head Loss over Length of Pipe, enter Dynamic Viscosity (μ), Mean Velocity (Vmean), 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 calculation can be explained with given input values -> 0.003294 = (32*1.02*10.1*0.1)/(9810*1.01^2).

FAQ

What is Head Loss over Length of Pipe?
The Head Loss over Length of Pipe is defined as loss of energy due to friction in pipe across its entire length and is represented as h = (32*μ*Vmean*Lp)/(γf*Dpipe^2) or Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Specific Weight of Liquid refers to the weight per unit volume of that substance & The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
How to calculate Head Loss over Length of Pipe?
The Head Loss over Length of Pipe is defined as loss of energy due to friction in pipe across its entire length is calculated using Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2). To calculate Head Loss over Length of Pipe, you need Dynamic Viscosity (μ), Mean Velocity (Vmean), 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, Mean Velocity, 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, Mean Velocity, 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 = (128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)
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