Head Loss due to Friction by Darcy Weisbach Equation Calculator

✖Darcy's coefficient of friction is a constant which depend upon pipe friction.ⓘ Darcy's coefficient of friction [f]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.ⓘ Average Velocity in Pipe Fluid Flow [v_avg]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+10% -10%

✖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 due to Friction by Darcy Weisbach Equation [h_f]

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Head Loss due to Friction by Darcy Weisbach Equation

Formula

`"h"_{"f"} = (4*"f"*"L"_{"p"}*("v"_{"avg"})^2)/(2*"[g]"*"D"_{"p"})`

Example

`"1.197938m"=(4*"0.045"*"2.5m"*("4.57m/s")^2)/(2*"[g]"*"0.4m")`

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Head Loss due to Friction by Darcy Weisbach Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe)
h_f = (4*f*L_p*(v_avg)^2)/(2*[g]*D_p)
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Head Loss - (Measured in Meter) - 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.
Darcy's coefficient of friction - Darcy's coefficient of friction is a constant which depend upon pipe friction.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Average Velocity in Pipe Fluid Flow - (Measured in Meter per Second) - Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.
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

Darcy's coefficient of friction: 0.045 --> No Conversion Required
Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Average Velocity in Pipe Fluid Flow: 4.57 Meter per Second --> 4.57 Meter per Second No Conversion Required
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (4*f*L_p*(v_avg)^2)/(2*[g]*D_p) --> (4*0.045*2.5*(4.57)^2)/(2*[g]*0.4)

Evaluating ... ...

h_f = 1.19793775142378

STEP 3: Convert Result to Output's Unit

1.19793775142378 Meter --> No Conversion Required

FINAL ANSWER

1.19793775142378 ≈ 1.197938 Meter <-- Head Loss

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Darcy's Weisbach Equation » Head Loss due to Friction by Darcy Weisbach Equation

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 10+ Darcy's Weisbach Equation Calculators

Average Velocity of Flow given Head Loss

Go Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's coefficient of friction*Length of Pipe))

Average Velocity of Flow given Internal Radius of Pipe

Go Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*Length of Pipe))

Head Loss due to Friction by Darcy Weisbach Equation

Go Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe)

Darcy's Coefficient of Friction given Head Loss

Go Darcy's coefficient of friction = (Head Loss*2*[g]*Diameter of Pipe)/(4*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Length of Pipe given Head Loss due to Friction

Go Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)

Internal Diameter of Pipe given Head Loss

Go Diameter of Pipe = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss)

Darcy's Coefficient of Friction given Internal Radius of Pipe

Go Darcy's coefficient of friction = (Head Loss*[g]*Pipe Radius)/(Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Head Loss due to Friction given Internal Radius of Pipe

Go Head Loss = (Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Pipe Radius)

Length of Pipe given Internal Radius of Pipe

Go Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)

Internal Radius of Pipe given Head Loss

Go Pipe Radius = (Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Head Loss)

Head Loss due to Friction by Darcy Weisbach Equation Formula

Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe)
h_f = (4*f*L_p*(v_avg)^2)/(2*[g]*D_p)

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.

How to Calculate Head Loss due to Friction by Darcy Weisbach Equation?

Head Loss due to Friction by Darcy Weisbach Equation calculator uses Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe) to calculate the Head Loss, The Head Loss due to Friction by Darcy Weisbach Equation calculates the value of head loss due to friction when we have prior information of other parameters used. Head Loss is denoted by h_f symbol.

How to calculate Head Loss due to Friction by Darcy Weisbach Equation using this online calculator? To use this online calculator for Head Loss due to Friction by Darcy Weisbach Equation, enter Darcy's coefficient of friction (f), Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg) & Diameter of Pipe (D_p) and hit the calculate button. Here is how the Head Loss due to Friction by Darcy Weisbach Equation calculation can be explained with given input values -> 0.047918 = (4*0.045*2.5*(4.57)^2)/(2*[g]*0.4).

FAQ

What is Head Loss due to Friction by Darcy Weisbach Equation?

The Head Loss due to Friction by Darcy Weisbach Equation calculates the value of head loss due to friction when we have prior information of other parameters used and is represented as h_f = (4*f*L_p*(v_avg)^2)/(2*[g]*D_p) or Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe). Darcy's coefficient of friction is a constant which depend upon pipe friction, Length of Pipe describes the length of the pipe in which the liquid is flowing, Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Head Loss due to Friction by Darcy Weisbach Equation?

The Head Loss due to Friction by Darcy Weisbach Equation calculates the value of head loss due to friction when we have prior information of other parameters used is calculated using Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe). To calculate Head Loss due to Friction by Darcy Weisbach Equation, you need Darcy's coefficient of friction (f), Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg) & Diameter of Pipe (D_p). With our tool, you need to enter the respective value for Darcy's coefficient of friction, Length of Pipe, Average Velocity in Pipe Fluid Flow & 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?

In this formula, Head Loss uses Darcy's coefficient of friction, Length of Pipe, Average Velocity in Pipe Fluid Flow & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Head Loss = (Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Pipe Radius)

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