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.ⓘ 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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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.

STEP 1: Convert Input(s) to Base Unit

Distance from Leading Edge: 37.5 Meter --> 37.5 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*37.5*(5000^(-0.2))

Evaluating ... ...

𝛿hx = 2.60113110507351

STEP 3: Convert Result to Output's Unit

2.60113110507351 Meter --> No Conversion Required

FINAL ANSWER

2.60113110507351 ≈ 2.601131 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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Hydrodynamic boundary layer thickness at X

LaTeX Go Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))

Nusselt number at distance x from leading edge

LaTeX Go Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)

Hydrodynamic boundary layer thickness given displacement thickness

LaTeX Go Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness at X

Displacement thickness at X

LaTeX Go Displacement Thickness at X = Hydrodynamic Boundary Layer Thickness/8

Hydrodynamic boundary layer thickness at X Formula

LaTeX Go

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, Hydrodynamic boundary layer thickness at X formula is defined as the thickness of the layer of fluid closest to the surface of a flat plate where the flow velocity is zero, which is a critical parameter in understanding the flow behavior and heat transfer in various engineering applications. 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 -> 26.01131 = 0.381*37.5*(5000^(-0.2)).

FAQ

What is Hydrodynamic boundary layer thickness at X?

Hydrodynamic boundary layer thickness at X formula is defined as the thickness of the layer of fluid closest to the surface of a flat plate where the flow velocity is zero, which is a critical parameter in understanding the flow behavior and heat transfer in various engineering applications 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.

How to calculate Hydrodynamic boundary layer thickness at X?

Hydrodynamic boundary layer thickness at X formula is defined as the thickness of the layer of fluid closest to the surface of a flat plate where the flow velocity is zero, which is a critical parameter in understanding the flow behavior and heat transfer in various engineering applications 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 at X
Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness at X

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