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Local shear stress Formula

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Local Shear Stress is defined as the shear stress in the layer of fluid next to the wall of a pipe. Check FAQs

τ L = \frac{0.0296 \cdot ρ fluid \cdot {(u ∞)}^{2}}{{(Re l)}^{0.2}}

τ_L - Local Shear Stress?ρ_fluid - Density of Fluid?u_∞ - Free Stream Velocity?Re_l - Local Reynolds Number?

Local shear stress Example

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

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

Here is how the Local shear stress equation looks like.

446.4939 = \frac{0.0296 \cdot 2.7315 \cdot {(70)}^{2}}{{(0.55)}^{0.2}}

446.4939Pa = \frac{0.0296 \cdot 2.7315kg/m³ \cdot {(70m/s)}^{2}}{{(0.55)}^{0.2}}

446.4939 = \frac{0.0296 \cdot 2.7315 \cdot {(70)}^{2}}{{(0.55)}^{0.2}}

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Local shear stress Solution

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

FIRST Step Consider the formula

τ L = \frac{0.0296 \cdot ρ fluid \cdot {(u ∞)}^{2}}{{(Re l)}^{0.2}}

Next Step Substitute values of Variables

∴

τ L = \frac{0.0296 \cdot 2.7315kg/m³ \cdot {(70m/s)}^{2}}{{(0.55)}^{0.2}}

Next Step Prepare to Evaluate

∴

τ L = \frac{0.0296 \cdot 2.7315 \cdot {(70)}^{2}}{{(0.55)}^{0.2}}

Next Step Evaluate

∴

τ L = 446.493873408853Pa

LAST Step Rounding Answer

∴

τ L = 446.4939Pa

Local shear stress Formula Elements

Variables

Local Shear Stress

Local Shear Stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.

Symbol: τ_L

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Local Shear Stress

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

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.

Formulas to find Free Stream Velocity

Local Reynolds Number

Local Reynolds Number is the ratio of inertial forces to viscous forces.

Symbol: Re_l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Reynolds Number

Other formulas in Turbulent Flow category

Go Hydrodynamic boundary layer thickness at X

𝛿hx = 0.381 \cdot x L \cdot ({Re}^{- 0.2})

Go Displacement thickness at X

𝛿 dx = \frac{𝛿hx}{8}

Go Hydrodynamic boundary layer thickness given displacement thickness

𝛿hx = 8 \cdot 𝛿 dx

Go Nusselt number at distance x from leading edge

Nux = 0.0296 \cdot ({Re x}^{0.8}) \cdot ({Pr}^{0.33})

How to Evaluate Local shear stress?

Local shear stress evaluator uses Local Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)) to evaluate the Local Shear Stress, Local shear stress formula is defined as a measure of the tangential force per unit area exerted by a fluid on a surface, commonly used to analyze the flow over a flat plate, providing insights into the frictional forces and boundary layer behavior. Local Shear Stress is denoted by τ_L symbol.

How to evaluate Local shear stress using this online evaluator? To use this online evaluator for Local shear stress, enter Density of Fluid (ρ_fluid), Free Stream Velocity (u_∞) & Local Reynolds Number (Re_l) and hit the calculate button.

FAQs on Local shear stress

What is the formula to find Local shear stress?

The formula of Local shear stress is expressed as Local Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)). Here is an example- 446.4939 = (0.0296*2.731494*(70)^2)/((0.55)^(0.2)).

How to calculate Local shear stress?

With Density of Fluid (ρ_fluid), Free Stream Velocity (u_∞) & Local Reynolds Number (Re_l) we can find Local shear stress using the formula - Local Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)).

Can the Local shear stress be negative?

Yes, the Local shear stress, measured in Pressure can be negative.

Which unit is used to measure Local shear stress?

Local 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 Local shear stress can be measured.

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Local shear stress Formula

Local shear stress Example

Local shear stress Solution

Local shear stress Formula Elements

Other formulas in Turbulent Flow category

How to Evaluate Local shear stress?

FAQs on Local shear stress

Variable Name