Friction Coefficient Calculator

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✖Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.ⓘ Wall Shear Stress [τ_w]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_f]			+10% -10%

✖Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.ⓘ Friction Coefficient [C_fx]

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Formula

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Friction Coefficient

Formula

`"C"_{"fx"} = "τ"_{"w"}/(0.5*"ρ"*("u"_{"f"}^2))`

Example

`"4.9E^-5"="3.5Pa"/(0.5*"997kg/m³"*(("12m/s")^2))`

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Friction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2))
C_fx = τ_w/(0.5*ρ*(u_f^2))
This formula uses 4 Variables

Variables Used

Local Friction Coefficient - Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.
Wall Shear Stress - (Measured in Pascal) - Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Wall Shear Stress: 3.5 Pascal --> 3.5 Pascal No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Fluid Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_fx = τ_w/(0.5*ρ*(u_f^2)) --> 3.5/(0.5*997*(12^2))

Evaluating ... ...

C_fx = 4.87573832608938E-05

STEP 3: Convert Result to Output's Unit

4.87573832608938E-05 --> No Conversion Required

FINAL ANSWER

4.87573832608938E-05 ≈ 4.9E-5 <-- Local Friction Coefficient

(Calculation completed in 00.020 seconds)

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Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

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Friction Coefficient Formula

Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2))
C_fx = τ_w/(0.5*ρ*(u_f^2))

What does wall shear stress depend upon?

The magnitude of wall shear stress depends on how fast the fluid velocity increases when moving from the pipe wall toward the center of the pipe. This velocity gradient near the wall is called the wall shear rate.

How to Calculate Friction Coefficient?

Friction Coefficient calculator uses Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2)) to calculate the Local Friction Coefficient, The Friction Coefficient is defined as the ratio of wall shear stress to the dynamic head of the stream. Local Friction Coefficient is denoted by C_fx symbol.

How to calculate Friction Coefficient using this online calculator? To use this online calculator for Friction Coefficient, enter Wall Shear Stress (τ_w), Density (ρ) & Fluid Velocity (u_f) and hit the calculate button. Here is how the Friction Coefficient calculation can be explained with given input values -> 4.9E-5 = 3.5/(0.5*997*(12^2)).

FAQ

What is Friction Coefficient?

The Friction Coefficient is defined as the ratio of wall shear stress to the dynamic head of the stream and is represented as C_fx = τ_w/(0.5*ρ*(u_f^2)) or Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2)). Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

How to calculate Friction Coefficient?

The Friction Coefficient is defined as the ratio of wall shear stress to the dynamic head of the stream is calculated using Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2)). To calculate Friction Coefficient, you need Wall Shear Stress (τ_w), Density (ρ) & Fluid Velocity (u_f). With our tool, you need to enter the respective value for Wall Shear Stress, Density & Fluid 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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