Hydrodynamic boundary layer thickness at X given momentum thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness
𝛿hx = (72/7)*θ
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.
Momentum Thickness - (Measured in Meter) - Momentum thickness is the thickness caused by the momentum of the fluid.
STEP 1: Convert Input(s) to Base Unit
Momentum Thickness: 0.015 Meter --> 0.015 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛿hx = (72/7)*θ --> (72/7)*0.015
Evaluating ... ...
𝛿hx = 0.154285714285714
STEP 3: Convert Result to Output's Unit
0.154285714285714 Meter --> No Conversion Required
FINAL ANSWER
0.154285714285714 0.154286 Meter <-- Hydrodynamic Boundary Layer Thickness
(Calculation completed in 00.020 seconds)

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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 given momentum thickness Formula

Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness
𝛿hx = (72/7)*θ

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 given momentum thickness?

Hydrodynamic boundary layer thickness at X given momentum thickness calculator uses Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness to calculate the Hydrodynamic Boundary Layer Thickness, The Hydrodynamic boundary layer thickness at X given momentum 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 at X given momentum thickness using this online calculator? To use this online calculator for Hydrodynamic boundary layer thickness at X given momentum thickness, enter Momentum Thickness (θ) and hit the calculate button. Here is how the Hydrodynamic boundary layer thickness at X given momentum thickness calculation can be explained with given input values -> 0.154286 = (72/7)*0.015.

FAQ

What is Hydrodynamic boundary layer thickness at X given momentum thickness?
The Hydrodynamic boundary layer thickness at X given momentum 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 = (72/7)*θ or Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness. Momentum thickness is the thickness caused by the momentum of the fluid.
How to calculate Hydrodynamic boundary layer thickness at X given momentum thickness?
The Hydrodynamic boundary layer thickness at X given momentum 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 = (72/7)*Momentum Thickness. To calculate Hydrodynamic boundary layer thickness at X given momentum thickness, you need Momentum Thickness (θ). With our tool, you need to enter the respective value for Momentum 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 Momentum 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 = 8*Displacement Thickness
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