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Shear Stress for Local Drag Coefficient Formula

GoShear Stress at Boundary for Turbulent Boundary Layer over Flat Plate Formula

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Shear stress for boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress. Check FAQs

𝜏 = \frac{1}{2} \cdot CD * \cdot ρ f \cdot {V ∞}^{2}

𝜏 - Shear Stress for Boundary Layer Flow?CD^* - Local Drag Coefficient for Boundary Layer?ρ_f - Fluid Density for Boundary Layer Flow?V_∞ - Freestream Velocity for Boundary Layer Flow?

Shear Stress for Local Drag Coefficient Example

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Here is how the Shear Stress for Local Drag Coefficient equation looks like with Values.

Here is how the Shear Stress for Local Drag Coefficient equation looks like with Units.

Here is how the Shear Stress for Local Drag Coefficient equation looks like.

0.0671 = \frac{1}{2} \cdot 0.0067 \cdot 890 \cdot {0.15}^{2}

0.0671N/m² = \frac{1}{2} \cdot 0.0067 \cdot 890kg/m³ \cdot {0.15m/s}^{2}

0.0671 = \frac{1}{2} \cdot 0.0067 \cdot 890 \cdot {0.15}^{2}

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Shear Stress for Local Drag Coefficient Solution

Follow our step by step solution on how to calculate Shear Stress for Local Drag Coefficient?

FIRST Step Consider the formula

𝜏 = \frac{1}{2} \cdot CD * \cdot ρ f \cdot {V ∞}^{2}

Next Step Substitute values of Variables

∴

𝜏 = \frac{1}{2} \cdot 0.0067 \cdot 890kg/m³ \cdot {0.15m/s}^{2}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{1}{2} \cdot 0.0067 \cdot 890 \cdot {0.15}^{2}

Next Step Evaluate

∴

𝜏 = 0.06708375Pa

Next Step Convert to Output's Unit

∴

𝜏 = 0.06708375N/m²

LAST Step Rounding Answer

∴

𝜏 = 0.0671N/m²

Shear Stress for Local Drag Coefficient Formula Elements

Variables

Shear Stress for Boundary Layer Flow

Shear stress for boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress for Boundary Layer Flow

Local Drag Coefficient for Boundary Layer

The Local Drag Coefficient for Boundary Layer Flow is a ratio of wall shear stress at any distance x from the leading edge to dynamic pressure.

Symbol: CD^*

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Local Drag Coefficient for Boundary Layer

Fluid Density for Boundary Layer Flow

Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid.

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Fluid Density for Boundary Layer Flow

Freestream Velocity for Boundary Layer Flow

Freestream velocity for boundary layer flow is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down the fluid.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Freestream Velocity for Boundary Layer Flow

Other Formulas to find Shear Stress for Boundary Layer Flow

Go Shear Stress at Boundary for Turbulent Boundary Layer over Flat Plate

𝜏 = 0.0225 \cdot ρ f \cdot {V ∞}^{2} \cdot {(\frac{μ}{ρ f \cdot V ∞ \cdot 𝛿})}^{\frac{1}{4}}

Other formulas in Boundary Layer Flow category

Go Reynold Number at End of Plate

R e = \frac{ρ f \cdot V ∞ \cdot L}{μ}

Go Length of Plate for Reynold Number

L = \frac{R e \cdot μ}{ρ f \cdot V ∞}

Go Velocity of Fluid for Reynold Number

V ∞ = \frac{R e \cdot μ}{ρ f \cdot L}

Go Thickness of Boundary Layer

𝛿 = \frac{5.48 \cdot x}{\sqrt{R e}}

How to Evaluate Shear Stress for Local Drag Coefficient?

Shear Stress for Local Drag Coefficient evaluator uses Shear Stress for Boundary Layer Flow = 1/2*Local Drag Coefficient for Boundary Layer*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2 to evaluate the Shear Stress for Boundary Layer Flow, The Shear stress for local drag coefficient formula is known while considering the terms drag coefficient, density of the fluid, and freestream velocity. Shear Stress for Boundary Layer Flow is denoted by 𝜏 symbol.

How to evaluate Shear Stress for Local Drag Coefficient using this online evaluator? To use this online evaluator for Shear Stress for Local Drag Coefficient, enter Local Drag Coefficient for Boundary Layer (CD^*), Fluid Density for Boundary Layer Flow (ρ_f) & Freestream Velocity for Boundary Layer Flow (V_∞) and hit the calculate button.

FAQs on Shear Stress for Local Drag Coefficient

What is the formula to find Shear Stress for Local Drag Coefficient?

The formula of Shear Stress for Local Drag Coefficient is expressed as Shear Stress for Boundary Layer Flow = 1/2*Local Drag Coefficient for Boundary Layer*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2. Here is an example- 0.067084 = 1/2*0.0067*890*0.15^2.

How to calculate Shear Stress for Local Drag Coefficient?

With Local Drag Coefficient for Boundary Layer (CD^*), Fluid Density for Boundary Layer Flow (ρ_f) & Freestream Velocity for Boundary Layer Flow (V_∞) we can find Shear Stress for Local Drag Coefficient using the formula - Shear Stress for Boundary Layer Flow = 1/2*Local Drag Coefficient for Boundary Layer*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2.

What are the other ways to Calculate Shear Stress for Boundary Layer Flow?

Here are the different ways to Calculate Shear Stress for Boundary Layer Flow-

Shear Stress for Boundary Layer Flow=0.0225*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2*(Viscosity of Fluid for Boundary Layer Flow/(Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*Thickness of Boundary Layer))^(1/4)

Can the Shear Stress for Local Drag Coefficient be negative?

No, the Shear Stress for Local Drag Coefficient, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress for Local Drag Coefficient?

Shear Stress for Local Drag Coefficient is usually measured using the Newton per Square Meter[N/m²] for Stress. Pascal[N/m²], Newton per Square Millimeter[N/m²], Kilonewton per Square Meter[N/m²] are the few other units in which Shear Stress for Local Drag Coefficient can be measured.

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Shear Stress for Local Drag Coefficient Formula

​GoShear Stress at Boundary for Turbulent Boundary Layer over Flat Plate Formula

Shear Stress for Local Drag Coefficient Example

Shear Stress for Local Drag Coefficient Solution

Shear Stress for Local Drag Coefficient Formula Elements

Other Formulas to find Shear Stress for Boundary Layer Flow

Other formulas in Boundary Layer Flow category

How to Evaluate Shear Stress for Local Drag Coefficient?

FAQs on Shear Stress for Local Drag Coefficient

Variable Name

GoShear Stress at Boundary for Turbulent Boundary Layer over Flat Plate Formula