Wall shear stress Formula

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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. Check FAQs
τw=Cfxρ(u2)2
τw - Wall Shear Stress?Cfx - Local Friction Coefficient?ρ - Density?u - Free Stream Velocity?

Wall shear stress Example

With values
With units
Only example

Here is how the Wall shear stress equation looks like with Values.

Here is how the Wall shear stress equation looks like with Units.

Here is how the Wall shear stress equation looks like.

801189.2Edit=0.328Edit997Edit(70Edit2)2
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Wall shear stress Solution

Follow our step by step solution on how to calculate Wall shear stress?

FIRST Step Consider the formula
τw=Cfxρ(u2)2
Next Step Substitute values of Variables
τw=0.328997kg/m³(70m/s2)2
Next Step Prepare to Evaluate
τw=0.328997(702)2
LAST Step Evaluate
τw=801189.2Pa

Wall shear stress Formula Elements

Variables
Wall Shear Stress
Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.
Symbol: τw
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Local Friction Coefficient
Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.
Symbol: Cfx
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Density
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.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Free Stream Velocity
Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.
Symbol: u
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.

Other formulas in Laminar Flow category

​Go Hydrodynamic boundary layer thickness at distance X from leading edge
𝛿hx=5xRex-0.5
​Go Thermal boundary layer thickness at distance X from leading edge
𝛿Tx=𝛿hxPr-0.333
​Go Displacement thickness
𝛿d=𝛿hx3
​Go Momentum thickness
θ=𝛿hx7

How to Evaluate Wall shear stress?

Wall shear stress evaluator uses Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2 to evaluate the Wall Shear Stress, Wall shear stress formula is defined as a measure of the frictional force per unit area exerted by a fluid flowing along a solid surface, typically used to analyze the flow behavior over a flat plate, and is an important parameter in understanding the flow dynamics and its effects on the surface. Wall Shear Stress is denoted by τw symbol.

How to evaluate Wall shear stress using this online evaluator? To use this online evaluator for Wall shear stress, enter Local Friction Coefficient (Cfx), Density (ρ) & Free Stream Velocity (u) and hit the calculate button.

FAQs on Wall shear stress

What is the formula to find Wall shear stress?
The formula of Wall shear stress is expressed as Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2. Here is an example- 801189.2 = (0.328*997*(70^2))/2.
How to calculate Wall shear stress?
With Local Friction Coefficient (Cfx), Density (ρ) & Free Stream Velocity (u) we can find Wall shear stress using the formula - Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2.
Can the Wall shear stress be negative?
Yes, the Wall shear stress, measured in Pressure can be negative.
Which unit is used to measure Wall shear stress?
Wall shear stress is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Wall shear stress can be measured.
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