Friction Factor Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖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.ⓘ Friction Factor [f]

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Formula

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Friction Factor

Formula

`"f" = 64*"μ"_{"viscosity"}/("ρ"_{"Fluid"}*"V"_{"mean"}*"D"_{"pipe"})`

Example

`"5.223978"=64*"10.2P"/("1.225kg/m³"*"10.1m/s"*"1.01m")`

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Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
f = 64*μ_viscosity/(ρ_Fluid*V_mean*D_pipe)
This formula uses 5 Variables

Variables Used

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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
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

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic 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

f = 64*μ_viscosity/(ρ_Fluid*V_mean*D_pipe) --> 64*1.02/(1.225*10.1*1.01)

Evaluating ... ...

f = 5.22397764124766

STEP 3: Convert Result to Output's Unit

5.22397764124766 --> No Conversion Required

FINAL ANSWER

5.22397764124766 ≈ 5.223978 <-- Darcy Friction Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Darcy – Weisbach Equation » Friction Factor » Friction Factor

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National Institute of Technology Karnataka (NITK), Surathkal

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< 5 Friction Factor Calculators

Friction Factor when Head Loss is due to Frictional Resistance

Go Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2)

Friction Factor

Go Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)

Friction Factor given Shear Stress and Density

Go Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)

Friction Factor given Shear Velocity

Go Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2

Friction Factor given Reynolds Number

Go Darcy Friction Factor = 64/Reynolds Number

Friction Factor Formula

Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
f = 64*μ_viscosity/(ρ_Fluid*V_mean*D_pipe)

What is Friction Factor ?

The Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow.

How to Calculate Friction Factor?

Friction Factor calculator uses Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe) to calculate the Darcy Friction Factor, The Friction Factor is defined as value of resistance used for finding frictional resistance of flow through pipe causing in the loss of energy. Darcy Friction Factor is denoted by f symbol.

How to calculate Friction Factor using this online calculator? To use this online calculator for Friction Factor, enter Dynamic Viscosity (μ_viscosity), Density of Fluid (ρ_Fluid), Mean Velocity (V_mean) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Friction Factor calculation can be explained with given input values -> 5.223978 = 64*1.02/(1.225*10.1*1.01).

FAQ

What is Friction Factor?

The Friction Factor is defined as value of resistance used for finding frictional resistance of flow through pipe causing in the loss of energy and is represented as f = 64*μ_viscosity/(ρ_Fluid*V_mean*D_pipe) or Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Friction Factor?

The Friction Factor is defined as value of resistance used for finding frictional resistance of flow through pipe causing in the loss of energy is calculated using Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe). To calculate Friction Factor, you need Dynamic Viscosity (μ_viscosity), Density of Fluid (ρ_Fluid), Mean Velocity (V_mean) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Dynamic Viscosity, Density of Fluid, 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.

How many ways are there to calculate Darcy Friction Factor?

In this formula, Darcy Friction Factor uses Dynamic Viscosity, Density of Fluid, Mean Velocity & Diameter of Pipe. We can use 4 other way(s) to calculate the same, which is/are as follows -

Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2)
Darcy Friction Factor = 64/Reynolds Number
Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)
Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2

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