Displacement thickness Calculator

Displacement Thickness - (Measured in Meter) - Displacement thickness is the thickness of how much the film has displaced.
Hydrodynamic Boundary Layer Thickness - (Measured in Meter) - Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.

STEP 1: Convert Input(s) to Base Unit

Hydrodynamic Boundary Layer Thickness: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛿^d = 𝛿hx/3 --> 2/3

Evaluating ... ...

𝛿^d = 0.666666666666667

STEP 3: Convert Result to Output's Unit

0.666666666666667 Meter --> No Conversion Required

FINAL ANSWER

0.666666666666667 ≈ 0.666667 Meter <-- Displacement Thickness

(Calculation completed in 00.004 seconds)

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Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 15 Laminar Flow Calculators

Average temperature difference between plate and fluid

Go Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))

Free stream velocity given local friction coefficient

Go Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))

Density given local friction coefficient

Go Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2))

Wall shear stress

Go Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2

Local friction coefficient for external flow

Go Local Friction Coefficient = 2*Wall Shear Stress/(Density*Free Stream Velocity^2)

Hydrodynamic boundary layer thickness at distance X from leading edge

Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Film temperature

Go Film temperature = (Plate Surface Temperature+Free Stream Fluid Temperature)/2

Free stream fluid temperature

Go Free Stream Fluid Temperature = 2*Film temperature-Plate Surface Temperature

Plate surface temperature

Go Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature

Coefficient of friction given Stanton number

Go Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3))

Displacement thickness

Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Average friction coefficient

Go Average Friction Coefficient = 1.328*Reynolds Number(x)^(-0.5)

Local Friction Coefficient given Reynolds Number

Go Local Friction Coefficient = 0.664*Reynolds Number(x)^(-0.5)

Momentum thickness

Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Displacement thickness Formula

Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3
𝛿^d = 𝛿hx/3

What is external flow

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.

An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Displacement thickness?

Displacement thickness calculator uses Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3 to calculate the Displacement Thickness, The Displacement thickness formula is defined as the distance by which the external potential flow is displaced outwards due to the decrease in velocity in the boundary layer. Displacement Thickness is denoted by 𝛿^d symbol.

How to calculate Displacement thickness using this online calculator? To use this online calculator for Displacement thickness, enter Hydrodynamic Boundary Layer Thickness (𝛿hx) and hit the calculate button. Here is how the Displacement thickness calculation can be explained with given input values -> 0.666667 = 2/3.

FAQ

What is Displacement thickness?

The Displacement thickness formula is defined as the distance by which the external potential flow is displaced outwards due to the decrease in velocity in the boundary layer and is represented as 𝛿^d = 𝛿hx/3 or Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3. Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.

How to calculate Displacement thickness?

The Displacement thickness formula is defined as the distance by which the external potential flow is displaced outwards due to the decrease in velocity in the boundary layer is calculated using Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3. To calculate Displacement thickness, you need Hydrodynamic Boundary Layer Thickness (𝛿hx). With our tool, you need to enter the respective value for Hydrodynamic Boundary Layer Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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