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Local Shear Stress at Wall Formula

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Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs

𝜏 = 0.5 \cdot C f \cdot ρ e \cdot {u e}^{2}

𝜏 - Shear Stress?C_f - Local Skin-Friction Coefficient?ρ_e - Static Density?u_e - Static Velocity?

Local Shear Stress at Wall Example

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Here is how the Local Shear Stress at Wall equation looks like with Values.

Here is how the Local Shear Stress at Wall equation looks like with Units.

Here is how the Local Shear Stress at Wall equation looks like.

58.08 = 0.5 \cdot 0.0012 \cdot 1200 \cdot {8.8}^{2}

58.08Pa = 0.5 \cdot 0.0012 \cdot 1200kg/m³ \cdot {8.8m/s}^{2}

58.08 = 0.5 \cdot 0.0012 \cdot 1200 \cdot {8.8}^{2}

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Local Shear Stress at Wall Solution

Follow our step by step solution on how to calculate Local Shear Stress at Wall?

FIRST Step Consider the formula

𝜏 = 0.5 \cdot C f \cdot ρ e \cdot {u e}^{2}

Next Step Substitute values of Variables

∴

𝜏 = 0.5 \cdot 0.0012 \cdot 1200kg/m³ \cdot {8.8m/s}^{2}

Next Step Prepare to Evaluate

∴

𝜏 = 0.5 \cdot 0.0012 \cdot 1200 \cdot {8.8}^{2}

LAST Step Evaluate

∴

𝜏 = 58.08Pa

Local Shear Stress at Wall Formula Elements

Variables

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Local Skin-Friction Coefficient

The Local Skin-Friction Coefficient is a dimensionless quantity that characterizes the frictional force exerted by the fluid on the surface in hypersonic flow.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Skin-Friction Coefficient

Static Density

The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Static Velocity

The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Other formulas in Hypersonic Flow Parameters category

Go Local Skin-Friction Coefficient

C f = \frac{2 \cdot 𝜏}{ρ e \cdot {u e}^{2}}

Go Static Density Equation using Skin Friction Coefficient

ρ e = \frac{2 \cdot 𝜏}{C f \cdot {u e}^{2}}

Go Static Velocity Equation using Skin Friction Coefficient

u e = \sqrt{\frac{2 \cdot 𝜏}{C f \cdot ρ e}}

Go Skin Friction Coefficient for Incompressible Flow

c f = \frac{0.664}{\sqrt{Re}}

How to Evaluate Local Shear Stress at Wall?

Local Shear Stress at Wall evaluator uses Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2 to evaluate the Shear Stress, Local Shear Stress at Wall formula is defined as a measure of the frictional force per unit area exerted by a fluid on the surface of an object, typically in the context of hypersonic flow, where it plays a crucial role in understanding the behavior of boundary layers. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Local Shear Stress at Wall using this online evaluator? To use this online evaluator for Local Shear Stress at Wall, enter Local Skin-Friction Coefficient (C_f), Static Density (ρ_e) & Static Velocity (u_e) and hit the calculate button.

FAQs on Local Shear Stress at Wall

What is the formula to find Local Shear Stress at Wall?

The formula of Local Shear Stress at Wall is expressed as Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2. Here is an example- 58.08 = 0.5*0.00125*1200*8.8^2.

How to calculate Local Shear Stress at Wall?

With Local Skin-Friction Coefficient (C_f), Static Density (ρ_e) & Static Velocity (u_e) we can find Local Shear Stress at Wall using the formula - Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2.

Can the Local Shear Stress at Wall be negative?

No, the Local Shear Stress at Wall, measured in Stress cannot be negative.

Which unit is used to measure Local Shear Stress at Wall?

Local Shear Stress at Wall is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Local Shear Stress at Wall can be measured.

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Local Shear Stress at Wall Formula

Local Shear Stress at Wall Example

Local Shear Stress at Wall Solution

Local Shear Stress at Wall Formula Elements

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Local Shear Stress at Wall?

FAQs on Local Shear Stress at Wall

Variable Name