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Boundary Layer Thickness for Turbulent Flow Formula

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Turbulent Boundary Layer Thickness is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity, or 99 percent of freestream velocity. Check FAQs

δ T = 0.37 \cdot \frac{x}{{Re T}^{\frac{1}{5}}}

δ_T - Turbulent Boundary Layer Thickness?x - Distance on X-Axis?Re_T - Reynolds Number for Turbulent Flow?

Boundary Layer Thickness for Turbulent Flow Example

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Here is how the Boundary Layer Thickness for Turbulent Flow equation looks like with Values.

Here is how the Boundary Layer Thickness for Turbulent Flow equation looks like with Units.

Here is how the Boundary Layer Thickness for Turbulent Flow equation looks like.

0.1519 = 0.37 \cdot \frac{2.1}{3500^{\frac{1}{5}}}

0.1519m = 0.37 \cdot \frac{2.1m}{3500^{\frac{1}{5}}}

0.1519 = 0.37 \cdot \frac{2.1}{3500^{\frac{1}{5}}}

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Boundary Layer Thickness for Turbulent Flow Solution

Follow our step by step solution on how to calculate Boundary Layer Thickness for Turbulent Flow?

FIRST Step Consider the formula

δ T = 0.37 \cdot \frac{x}{{Re T}^{\frac{1}{5}}}

Next Step Substitute values of Variables

∴

δ T = 0.37 \cdot \frac{2.1m}{3500^{\frac{1}{5}}}

Next Step Prepare to Evaluate

∴

δ T = 0.37 \cdot \frac{2.1}{3500^{\frac{1}{5}}}

Next Step Evaluate

∴

δ T = 0.151917361836111m

LAST Step Rounding Answer

∴

δ T = 0.1519m

Boundary Layer Thickness for Turbulent Flow Formula Elements

Variables

Turbulent Boundary Layer Thickness

Turbulent Boundary Layer Thickness is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity, or 99 percent of freestream velocity.

Symbol: δ_T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Turbulent Boundary Layer Thickness

Distance on X-Axis

Distance on X-Axis is the distance of point measured along x-axis form origin.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance on X-Axis

Reynolds Number for Turbulent Flow

Reynolds Number for Turbulent Flow is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

Symbol: Re_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 2000.

Formulas to find Reynolds Number for Turbulent Flow

Other formulas in Flow over Airfoils category

Go Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory

C L = 2 \cdot π \cdot α

Go Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory

C m,le = - \frac{C L}{4}

Go Lift Coefficient for Cambered Airfoil

C L,cam = 2 \cdot π \cdot ((α) - (α 0))

Go Center of Pressure Location for Cambered Airfoil

x cp = - \frac{C m,le \cdot c}{C L}

How to Evaluate Boundary Layer Thickness for Turbulent Flow?

Boundary Layer Thickness for Turbulent Flow evaluator uses Turbulent Boundary Layer Thickness = 0.37*Distance on X-Axis/(Reynolds Number for Turbulent Flow^(1/5)) to evaluate the Turbulent Boundary Layer Thickness, The Boundary Layer Thickness for Turbulent flow refers to the distance from the surface of a solid body, such as an airfoil or a pipe, to the point where the flow velocity reaches approximately 99% of the free stream velocity. Turbulent Boundary Layer Thickness is denoted by δ_T symbol.

How to evaluate Boundary Layer Thickness for Turbulent Flow using this online evaluator? To use this online evaluator for Boundary Layer Thickness for Turbulent Flow, enter Distance on X-Axis (x) & Reynolds Number for Turbulent Flow (Re_T) and hit the calculate button.

FAQs on Boundary Layer Thickness for Turbulent Flow

What is the formula to find Boundary Layer Thickness for Turbulent Flow?

The formula of Boundary Layer Thickness for Turbulent Flow is expressed as Turbulent Boundary Layer Thickness = 0.37*Distance on X-Axis/(Reynolds Number for Turbulent Flow^(1/5)). Here is an example- 0.151917 = 0.37*2.1/(3500^(1/5)).

How to calculate Boundary Layer Thickness for Turbulent Flow?

With Distance on X-Axis (x) & Reynolds Number for Turbulent Flow (Re_T) we can find Boundary Layer Thickness for Turbulent Flow using the formula - Turbulent Boundary Layer Thickness = 0.37*Distance on X-Axis/(Reynolds Number for Turbulent Flow^(1/5)).

Can the Boundary Layer Thickness for Turbulent Flow be negative?

No, the Boundary Layer Thickness for Turbulent Flow, measured in Length cannot be negative.

Which unit is used to measure Boundary Layer Thickness for Turbulent Flow?

Boundary Layer Thickness for Turbulent Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Boundary Layer Thickness for Turbulent Flow can be measured.

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