Momentum thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7
θ = 𝛿hx/7
This formula uses 2 Variables
Variables Used
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 = 𝛿hx/7 --> 2/7
Evaluating ... ...
θ = 0.285714285714286
STEP 3: Convert Result to Output's Unit
0.285714285714286 Meter --> No Conversion Required
FINAL ANSWER
0.285714285714286 0.285714 Meter <-- Momentum Thickness
(Calculation completed in 00.020 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Go Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))
Free stream velocity given local friction coefficient
Go Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))
Density given local friction coefficient
Go Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2))
Wall shear stress
Go Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2
Local friction coefficient for external flow
Go Local Friction Coefficient = 2*Wall Shear Stress/(Density*Free Stream Velocity^2)
Hydrodynamic boundary layer thickness at distance X from leading edge
Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)
Thermal boundary layer thickness at distance X from leading edge
Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)
Film temperature
Go Film temperature = (Plate Surface Temperature+Free Stream Fluid Temperature)/2
Free stream fluid temperature
Go Free Stream Fluid Temperature = 2*Film temperature-Plate Surface Temperature
Plate surface temperature
Go Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature
Coefficient of friction given Stanton number
Go Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3))
Displacement thickness
Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3
Average friction coefficient
Go Average Friction Coefficient = 1.328*Reynolds Number(x)^(-0.5)
Local Friction Coefficient given Reynolds Number
Go Local Friction Coefficient = 0.664*Reynolds Number(x)^(-0.5)
Momentum thickness
Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Momentum thickness Formula

Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7
θ = 𝛿hx/7

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?

Momentum thickness calculator uses Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7 to calculate the Momentum Thickness, The Momentum thickness formula is defined in relation to the momentum flow rate within the boundary layer. Momentum Thickness is denoted by θ symbol.

How to calculate Momentum thickness using this online calculator? To use this online calculator for Momentum thickness, enter Hydrodynamic Boundary Layer Thickness (𝛿hx) and hit the calculate button. Here is how the Momentum thickness calculation can be explained with given input values -> 0.285714 = 2/7.

FAQ

What is Momentum thickness?
The Momentum thickness formula is defined in relation to the momentum flow rate within the boundary layer and is represented as θ = 𝛿hx/7 or Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7. Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.
How to calculate Momentum thickness?
The Momentum thickness formula is defined in relation to the momentum flow rate within the boundary layer is calculated using Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7. To calculate Momentum thickness, 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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