Hydrodynamic boundary layer thickness given displacement thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness
𝛿hx = 8*𝛿d
This formula uses 2 Variables
Variables Used
Hydrodynamic Boundary Layer Thickness - (Measured in Meter) - Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.
Displacement Thickness - (Measured in Meter) - Displacement thickness is the thickness of how much the film has displaced.
STEP 1: Convert Input(s) to Base Unit
Displacement Thickness: 0.005 Meter --> 0.005 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛿hx = 8*𝛿d --> 8*0.005
Evaluating ... ...
𝛿hx = 0.04
STEP 3: Convert Result to Output's Unit
0.04 Meter --> No Conversion Required
FINAL ANSWER
0.04 Meter <-- Hydrodynamic Boundary Layer Thickness
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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National Institute Of Technology (NIT), Hamirpur
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11 Turbulent Flow Calculators

Nusselt Number at Distance X from Leading Edge by Analogy
​ Go Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1))
Local shear stress
​ Go Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2))
Hydrodynamic boundary layer thickness at X
​ Go Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))
Average Nusselt number upto length L given Reynolds number
​ Go Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33)
Nusselt number at distance x from leading edge
​ Go Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)
Local friction coefficient for Re greater than 100000000
​ Go Local Friction Coefficient = 0.37*(log10(Reynolds Number(x)))^(-2.584)
Hydrodynamic boundary layer thickness at X given momentum thickness
​ Go Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness
Momentum thickness at X
​ Go Momentum Thickness = (7/72)*Hydrodynamic Boundary Layer Thickness
Hydrodynamic boundary layer thickness given displacement thickness
​ Go Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness
Displacement thickness at X
​ Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/8
Local friction coefficient
​ Go Local Friction Coefficient = 0.0592*(Reynolds Number(x)^(-0.2))

Hydrodynamic boundary layer thickness given displacement thickness Formula

Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness
𝛿hx = 8*𝛿d

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 Hydrodynamic boundary layer thickness given displacement thickness?

Hydrodynamic boundary layer thickness given displacement thickness calculator uses Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness to calculate the Hydrodynamic Boundary Layer Thickness, The Hydrodynamic boundary layer thickness given displacement thickness formula is defined as the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity. Hydrodynamic Boundary Layer Thickness is denoted by 𝛿hx symbol.

How to calculate Hydrodynamic boundary layer thickness given displacement thickness using this online calculator? To use this online calculator for Hydrodynamic boundary layer thickness given displacement thickness, enter Displacement Thickness (𝛿d) and hit the calculate button. Here is how the Hydrodynamic boundary layer thickness given displacement thickness calculation can be explained with given input values -> 0.04 = 8*0.005.

FAQ

What is Hydrodynamic boundary layer thickness given displacement thickness?
The Hydrodynamic boundary layer thickness given displacement thickness formula is defined as the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity and is represented as 𝛿hx = 8*𝛿d or Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness. Displacement thickness is the thickness of how much the film has displaced.
How to calculate Hydrodynamic boundary layer thickness given displacement thickness?
The Hydrodynamic boundary layer thickness given displacement thickness formula is defined as the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity is calculated using Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness. To calculate Hydrodynamic boundary layer thickness given displacement thickness, you need Displacement Thickness (𝛿d). With our tool, you need to enter the respective value for Displacement Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Hydrodynamic Boundary Layer Thickness?
In this formula, Hydrodynamic Boundary Layer Thickness uses Displacement Thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))
  • Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness
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