Length of Pipe given Head Loss due to Frictional Resistance Calculator

✖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.ⓘ Head Loss due to Friction [h]			+10% -10%
✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%
✖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.ⓘ Darcy Friction Factor [f]			+10% -10%
✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity [V_mean]			+10% -10%

✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe given Head Loss due to Frictional Resistance [L_p]

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Length of Pipe given Head Loss due to Frictional Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
L_p = (h*2*[g]*D_pipe)/(f*V_mean*2)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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.
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.
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.
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
Darcy Friction Factor: 5 --> 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

L_p = (h*2*[g]*D_pipe)/(f*V_mean*2) --> (2.5*2*[g]*1.01)/(5*10.1*2)

Evaluating ... ...

L_p = 0.4903325

STEP 3: Convert Result to Output's Unit

0.4903325 Meter --> No Conversion Required

FINAL ANSWER

0.4903325 ≈ 0.490332 Meter <-- Length of Pipe

(Calculation completed in 00.020 seconds)

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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

Length of Pipe given Head Loss due to Frictional Resistance Formula

LaTeX Go

Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
L_p = (h*2*[g]*D_pipe)/(f*V_mean*2)

What is Head Loss ?

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids. Frictional loss is that part of the total head loss that occurs as the fluid flows through straight pipes.

How to Calculate Length of Pipe given Head Loss due to Frictional Resistance?

Length of Pipe given Head Loss due to Frictional Resistance calculator uses Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2) to calculate the Length of Pipe, The Length of Pipe given Head Loss due to Frictional Resistance formula is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe. Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Head Loss due to Frictional Resistance using this online calculator? To use this online calculator for Length of Pipe given Head Loss due to Frictional Resistance, enter Head Loss due to Friction (h), Diameter of Pipe (D_pipe), Darcy Friction Factor (f) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Length of Pipe given Head Loss due to Frictional Resistance calculation can be explained with given input values -> 0.490332 = (2.5*2*[g]*1.01)/(5*10.1*2).

FAQ

What is Length of Pipe given Head Loss due to Frictional Resistance?

The Length of Pipe given Head Loss due to Frictional Resistance formula is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe and is represented as L_p = (h*2*[g]*D_pipe)/(f*V_mean*2) or Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*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 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 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 Length of Pipe given Head Loss due to Frictional Resistance?

The Length of Pipe given Head Loss due to Frictional Resistance formula is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe is calculated using Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2). To calculate Length of Pipe given Head Loss due to Frictional Resistance, you need Head Loss due to Friction (h), Diameter of Pipe (D_pipe), Darcy Friction Factor (f) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Head Loss due to Friction, Diameter of Pipe, Darcy Friction Factor & Mean Velocity 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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