Friction Factor when Head Loss is due to Frictional Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2)
f = (h*2*[g]*Dpipe)/(Lp*Vmean^2)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
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.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
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.
STEP 1: Convert Input(s) to Base Unit
Head Loss due to Friction: 2.5 Meter --> 2.5 Meter No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 Meter 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = (h*2*[g]*Dpipe)/(Lp*Vmean^2) --> (2.5*2*[g]*1.01)/(0.1*10.1^2)
Evaluating ... ...
f = 4.85477722772277
STEP 3: Convert Result to Output's Unit
4.85477722772277 --> No Conversion Required
FINAL ANSWER
4.85477722772277 4.854777 <-- Darcy Friction Factor
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Friction Factor Calculators

Friction Factor when Head Loss is due to Frictional Resistance
​ LaTeX ​ Go Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2)
Friction Factor
​ LaTeX ​ Go Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
Friction Factor given Shear Stress and Density
​ LaTeX ​ Go Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)
Friction Factor given Reynolds Number
​ LaTeX ​ Go Darcy Friction Factor = 64/Reynolds Number

Friction Factor when Head Loss is due to Frictional Resistance Formula

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

What is Friction Factor ?

The friction factor is a dimensionless number that quantifies the resistance to flow (or energy loss) due to friction within a pipe or channel. It is crucial in fluid dynamics, particularly when analyzing the flow of water through pipes, wells, or other conduits. The friction factor is used in the Darcy-Weisbach equation, which relates the pressure drop or head loss due to friction to the velocity of the flow, pipe length, and pipe diameter.

How to Calculate Friction Factor when Head Loss is due to Frictional Resistance?

Friction Factor when Head Loss is due to Frictional Resistance calculator uses Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2) to calculate the Darcy Friction Factor, The Friction Factor when Head Loss is due to Frictional Resistance is defined the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the energy loss in a fluid flowing through a pipe or duct caused by the friction between the fluid and the walls of the pipe. Darcy Friction Factor is denoted by f symbol.

How to calculate Friction Factor when Head Loss is due to Frictional Resistance using this online calculator? To use this online calculator for Friction Factor when Head Loss is due to Frictional Resistance, enter Head Loss due to Friction (h), Diameter of Pipe (Dpipe), Length of Pipe (Lp) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Friction Factor when Head Loss is due to Frictional Resistance calculation can be explained with given input values -> 7.767644 = (2.5*2*[g]*1.01)/(0.1*10.1^2).

FAQ

What is Friction Factor when Head Loss is due to Frictional Resistance?
The Friction Factor when Head Loss is due to Frictional Resistance is defined the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the energy loss in a fluid flowing through a pipe or duct caused by the friction between the fluid and the walls of the pipe and is represented as f = (h*2*[g]*Dpipe)/(Lp*Vmean^2) or Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2). 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, The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing, 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.
How to calculate Friction Factor when Head Loss is due to Frictional Resistance?
The Friction Factor when Head Loss is due to Frictional Resistance is defined the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the energy loss in a fluid flowing through a pipe or duct caused by the friction between the fluid and the walls of the pipe is calculated using Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2). To calculate Friction Factor when Head Loss is due to Frictional Resistance, you need Head Loss due to Friction (h), Diameter of Pipe (Dpipe), Length of Pipe (Lp) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Head Loss due to Friction, Diameter of Pipe, Length of Pipe & 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 Darcy Friction Factor?
In this formula, Darcy Friction Factor uses Head Loss due to Friction, Diameter of Pipe, Length of Pipe & Mean Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
  • Darcy Friction Factor = 64/Reynolds Number
  • Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)
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