Momentum thickness at X Calculator

Momentum Thickness - (Measured in Meter) - Momentum thickness is the thickness caused by the momentum of the fluid.
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 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (7/72)*𝛿hx --> (7/72)*2

Evaluating ... ...

θ = 0.194444444444444

STEP 3: Convert Result to Output's Unit

0.194444444444444 Meter --> No Conversion Required

FINAL ANSWER

0.194444444444444 ≈ 0.194444 Meter <-- Momentum 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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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))

Momentum thickness at X Formula

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

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 Momentum thickness at X?

Momentum thickness at X calculator uses Momentum Thickness = (7/72)*Hydrodynamic Boundary Layer Thickness to calculate the Momentum Thickness, The Momentum thickness at X formula is defined as the loss of momentum in the boundary layer as compared with that of potential flow. Momentum Thickness is denoted by θ symbol.

How to calculate Momentum thickness at X using this online calculator? To use this online calculator for Momentum thickness at X, enter Hydrodynamic Boundary Layer Thickness (𝛿hx) and hit the calculate button. Here is how the Momentum thickness at X calculation can be explained with given input values -> 0.194444 = (7/72)*2.

FAQ

What is Momentum thickness at X?

The Momentum thickness at X formula is defined as the loss of momentum in the boundary layer as compared with that of potential flow and is represented as θ = (7/72)*𝛿hx or Momentum Thickness = (7/72)*Hydrodynamic Boundary Layer Thickness. Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.

How to calculate Momentum thickness at X?

The Momentum thickness at X formula is defined as the loss of momentum in the boundary layer as compared with that of potential flow is calculated using Momentum Thickness = (7/72)*Hydrodynamic Boundary Layer Thickness. To calculate Momentum thickness at X, 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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