Hydrodynamic boundary layer thickness at X Calculator

✖The Distance from leading edge is known from the relation of drag force on a plate due to boundary layer.ⓘ Distance from Leading Edge [x_L]			+10% -10%
✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number [Re]			+10% -10%

✖Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.ⓘ Hydrodynamic boundary layer thickness at X [𝛿hx]

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Formula

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Hydrodynamic boundary layer thickness at X

Formula

`"𝛿hx" = 0.381*"x"_{"L"}*("Re"^(-0.2))`

Example

`"1.040452m"=0.381*"15m"*(("5000")^(-0.2))`

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Hydrodynamic boundary layer thickness at X Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))
𝛿hx = 0.381*x_L*(Re^(-0.2))
This formula uses 3 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.
Distance from Leading Edge - (Measured in Meter) - The Distance from leading edge is known from the relation of drag force on a plate due to boundary layer.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.

STEP 1: Convert Input(s) to Base Unit

Distance from Leading Edge: 15 Meter --> 15 Meter No Conversion Required
Reynolds Number: 5000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛿hx = 0.381*x_L*(Re^(-0.2)) --> 0.381*15*(5000^(-0.2))

Evaluating ... ...

𝛿hx = 1.0404524420294

STEP 3: Convert Result to Output's Unit

1.0404524420294 Meter --> No Conversion Required

FINAL ANSWER

1.0404524420294 ≈ 1.040452 Meter <-- Hydrodynamic Boundary Layer Thickness

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

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

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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 at X Formula

Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))
𝛿hx = 0.381*x_L*(Re^(-0.2))

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 at X?

Hydrodynamic boundary layer thickness at X calculator uses Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2)) to calculate the Hydrodynamic Boundary Layer Thickness, The Hydrodynamic boundary layer thickness at X formula is defined as the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity.15-May-2015. Hydrodynamic Boundary Layer Thickness is denoted by 𝛿hx symbol.

How to calculate Hydrodynamic boundary layer thickness at X using this online calculator? To use this online calculator for Hydrodynamic boundary layer thickness at X, enter Distance from Leading Edge (x_L) & Reynolds Number (Re) and hit the calculate button. Here is how the Hydrodynamic boundary layer thickness at X calculation can be explained with given input values -> 1.040452 = 0.381*15*(5000^(-0.2)).

FAQ

What is Hydrodynamic boundary layer thickness at X?

The Hydrodynamic boundary layer thickness at X formula is defined as the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity.15-May-2015 and is represented as 𝛿hx = 0.381*x_L*(Re^(-0.2)) or Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2)). The Distance from leading edge is known from the relation of drag force on a plate due to boundary layer & The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.

How to calculate Hydrodynamic boundary layer thickness at X?

The Hydrodynamic boundary layer thickness at X formula is defined as the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity.15-May-2015 is calculated using Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2)). To calculate Hydrodynamic boundary layer thickness at X, you need Distance from Leading Edge (x_L) & Reynolds Number (Re). With our tool, you need to enter the respective value for Distance from Leading Edge & Reynolds Number 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 Distance from Leading Edge & Reynolds Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness
Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness

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