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Displacement thickness Formula

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Displacement thickness is the thickness of how much the film has displaced. Check FAQs

𝛿 d = \frac{𝛿hx}{3}

𝛿^d - Displacement Thickness?𝛿hx - Hydrodynamic Boundary Layer Thickness?

Displacement thickness Example

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Here is how the Displacement thickness equation looks like with Values.

Here is how the Displacement thickness equation looks like with Units.

Here is how the Displacement thickness equation looks like.

0.867 = \frac{2.6011}{3}

0.867m = \frac{2.6011m}{3}

0.867 = \frac{2.6011}{3}

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Displacement thickness Solution

Follow our step by step solution on how to calculate Displacement thickness?

FIRST Step Consider the formula

𝛿 d = \frac{𝛿hx}{3}

Next Step Substitute values of Variables

∴

𝛿 d = \frac{2.6011m}{3}

Next Step Prepare to Evaluate

∴

𝛿 d = \frac{2.6011}{3}

Next Step Evaluate

∴

𝛿 d = 0.867031666666667m

LAST Step Rounding Answer

∴

𝛿 d = 0.867m

Displacement thickness Formula Elements

Variables

Displacement Thickness

Displacement thickness is the thickness of how much the film has displaced.

Symbol: 𝛿^d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement Thickness

Hydrodynamic Boundary Layer Thickness

Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.

Symbol: 𝛿hx

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydrodynamic Boundary Layer Thickness

Other formulas in Laminar Flow category

Go Hydrodynamic boundary layer thickness at distance X from leading edge

𝛿hx = 5 \cdot x \cdot {Re x}^{- 0.5}

Go Thermal boundary layer thickness at distance X from leading edge

𝛿Tx = 𝛿hx \cdot {Pr}^{- 0.333}

Go Momentum thickness

θ = \frac{𝛿hx}{7}

Go Local Friction Coefficient given Reynolds Number

C fx = 0.664 \cdot {Re x}^{- 0.5}

How to Evaluate Displacement thickness?

Displacement thickness evaluator uses Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3 to evaluate the Displacement Thickness, Displacement thickness formula is defined as the distance between the wall and the point where the velocity is 99% of the free-stream velocity, used to quantify the effect of boundary layers on the flow over a flat plate. Displacement Thickness is denoted by 𝛿^d symbol.

How to evaluate Displacement thickness using this online evaluator? To use this online evaluator for Displacement thickness, enter Hydrodynamic Boundary Layer Thickness (𝛿hx) and hit the calculate button.

FAQs on Displacement thickness

What is the formula to find Displacement thickness?

The formula of Displacement thickness is expressed as Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3. Here is an example- 0.867032 = 2.601095/3.

How to calculate Displacement thickness?

With Hydrodynamic Boundary Layer Thickness (𝛿hx) we can find Displacement thickness using the formula - Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3.

Can the Displacement thickness be negative?

Yes, the Displacement thickness, measured in Length can be negative.

Which unit is used to measure Displacement thickness?

Displacement thickness is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Displacement thickness can be measured.

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