Displacement thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3
𝛿d = 𝛿hx/3
This formula uses 2 Variables
Variables Used
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: 2.601095 Meter --> 2.601095 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛿d = 𝛿hx/3 --> 2.601095/3
Evaluating ... ...
𝛿d = 0.867031666666667
STEP 3: Convert Result to Output's Unit
0.867031666666667 Meter --> No Conversion Required
FINAL ANSWER
0.867031666666667 0.867032 Meter <-- Displacement Thickness
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
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Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Laminar Flow Calculators

Hydrodynamic boundary layer thickness at distance X from leading edge
​ LaTeX ​ 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
​ LaTeX ​ Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)
Displacement thickness
​ LaTeX ​ Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3
Momentum thickness
​ LaTeX ​ Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Displacement thickness Formula

​LaTeX ​Go
Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3
𝛿d = 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, 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 𝛿d 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 -> 0.867032 = 2.601095/3.

FAQ

What is 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 and is represented as 𝛿d = 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?
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 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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