Head Loss due to Friction Calculator

✖Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.ⓘ Darcy Friction Factor [f_Darcy]			+10% -10%
✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_Fluid]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_Pipe]			+10% -10%
✖Pipe Diameter is the diameter of the pipe in which the liquid is flowing.ⓘ Pipe Diameter [d_pipe]			+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 [h_f]

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Head Loss due to Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
h_f = f_Darcy*u_Fluid^(2)*L_Pipe/(d_pipe*2*[g])
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 Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Darcy Friction Factor: 0.1 --> No Conversion Required
Fluid Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Length of Pipe: 0.2 Meter --> 0.2 Meter No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = f_Darcy*u_Fluid^(2)*L_Pipe/(d_pipe*2*[g]) --> 0.1*12^(2)*0.2/(1.01*2*[g])

Evaluating ... ...

h_f = 0.145385281850319

STEP 3: Convert Result to Output's Unit

0.145385281850319 Meter --> No Conversion Required

FINAL ANSWER

0.145385281850319 ≈ 0.145385 Meter <-- Head loss

(Calculation completed in 00.020 seconds)

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Birla Institute of Technology & Science (BITS), Pilani

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Head Loss due to Friction Formula

LaTeX Go

Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
h_f = f_Darcy*u_Fluid^(2)*L_Pipe/(d_pipe*2*[g])

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.
In the analysis of piping systems, pressure losses are commonly expressed in terms of the equivalent fluid column height, called the head loss. Noting from fluid statics that ΔP = 𝜌gh and thus a pressure difference of ΔP corresponds to a fluid height of h = ΔP/𝜌g.
The head loss represents the additional height that the fluid needs to be raised by a pump in order to overcome the frictional losses in the pipe. The head loss is caused by viscosity, and it is directly related to the wall shear stress.

How to Calculate Head Loss due to Friction?

Head Loss due to Friction calculator uses Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]) to calculate the Head loss, Head Loss due to friction 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 owing to friction. Head loss is denoted by h_f symbol.

How to calculate Head Loss due to Friction using this online calculator? To use this online calculator for Head Loss due to Friction, enter Darcy Friction Factor (f_Darcy), Fluid Velocity (u_Fluid), Length of Pipe (L_Pipe) & Pipe Diameter (d_pipe) and hit the calculate button. Here is how the Head Loss due to Friction calculation can be explained with given input values -> 0.145385 = 0.1*12^(2)*0.2/(1.01*2*[g]).

FAQ

What is Head Loss due to Friction?

Head Loss due to friction 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 owing to friction and is represented as h_f = f_Darcy*u_Fluid^(2)*L_Pipe/(d_pipe*2*[g]) or Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]). Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart, Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, Length of Pipe describes the length of the pipe in which the liquid is flowing & Pipe Diameter is the diameter of the pipe in which the liquid is flowing.

How to calculate Head Loss due to Friction?

Head Loss due to friction 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 owing to friction is calculated using Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]). To calculate Head Loss due to Friction, you need Darcy Friction Factor (f_Darcy), Fluid Velocity (u_Fluid), Length of Pipe (L_Pipe) & Pipe Diameter (d_pipe). With our tool, you need to enter the respective value for Darcy Friction Factor, Fluid Velocity, Length of Pipe & Pipe Diameter 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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