Head Loss due to Frictional Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)
h = f*Lp*(Vmean^2)/(2*[g]*Dpipe)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
Darcy Friction Factor - The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.
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.
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.
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
Darcy Friction Factor: 5 --> No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = f*Lp*(Vmean^2)/(2*[g]*Dpipe) --> 5*0.1*(10.1^2)/(2*[g]*1.01)
Evaluating ... ...
h = 2.57478343776927
STEP 3: Convert Result to Output's Unit
2.57478343776927 Meter --> No Conversion Required
FINAL ANSWER
2.57478343776927 2.574783 Meter <-- Head Loss due to Friction
(Calculation completed in 00.007 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Darcy Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance
​ LaTeX ​ Go Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)
Length of Pipe given Head Loss due to Frictional Resistance
​ LaTeX ​ Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
Head Loss due to Frictional Resistance
​ LaTeX ​ Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)
Dynamic Viscosity given Friction Factor
​ LaTeX ​ Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Head Loss due to Frictional Resistance Formula

​LaTeX ​Go
Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)
h = f*Lp*(Vmean^2)/(2*[g]*Dpipe)

What is Frictional Resistance ?

Frictional resistance refers to the force that opposes the motion of a fluid or an object as it moves through a medium or along a surface. In the context of fluid dynamics, frictional resistance occurs when a fluid (like water, air, or oil) flows through a pipe, conduit, or any channel, and its interaction with the surface of the material creates resistance, resulting in energy loss.

How to Calculate Head Loss due to Frictional Resistance?

Head Loss due to Frictional Resistance calculator uses Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe) to calculate the Head Loss due to Friction, The Head Loss due to Frictional Resistance formula is defined as amount of energy lost in terms of height of water in flow. Head Loss due to Friction is denoted by h symbol.

How to calculate Head Loss due to Frictional Resistance using this online calculator? To use this online calculator for Head Loss due to Frictional Resistance, enter Darcy Friction Factor (f), Length of Pipe (Lp), Mean Velocity (Vmean) & Diameter of Pipe (Dpipe) and hit the calculate button. Here is how the Head Loss due to Frictional Resistance calculation can be explained with given input values -> 2.574783 = 5*0.1*(10.1^2)/(2*[g]*1.01).

FAQ

What is Head Loss due to Frictional Resistance?
The Head Loss due to Frictional Resistance formula is defined as amount of energy lost in terms of height of water in flow and is represented as h = f*Lp*(Vmean^2)/(2*[g]*Dpipe) or Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe). The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel & The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
How to calculate Head Loss due to Frictional Resistance?
The Head Loss due to Frictional Resistance formula is defined as amount of energy lost in terms of height of water in flow is calculated using Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe). To calculate Head Loss due to Frictional Resistance, you need Darcy Friction Factor (f), Length of Pipe (Lp), Mean Velocity (Vmean) & Diameter of Pipe (Dpipe). With our tool, you need to enter the respective value for Darcy Friction Factor, Length of Pipe, Mean Velocity & Diameter of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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