Thermal boundary layer thickness at distance X from leading edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)
𝛿Tx = 𝛿hx*Pr^(-0.333)
This formula uses 3 Variables
Variables Used
Thermal Boundary Layer Thickness - (Measured in Meter) - Thermal boundary layer thickness is the distance from the solid body at which the viscous flow velocity is 99% of the free stream velocity.
Hydrodynamic Boundary Layer Thickness - (Measured in Meter) - Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
STEP 1: Convert Input(s) to Base Unit
Hydrodynamic Boundary Layer Thickness: 2 Meter --> 2 Meter No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛿Tx = 𝛿hx*Pr^(-0.333) --> 2*0.7^(-0.333)
Evaluating ... ...
𝛿Tx = 2.25222797387327
STEP 3: Convert Result to Output's Unit
2.25222797387327 Meter --> No Conversion Required
FINAL ANSWER
2.25222797387327 2.252228 Meter <-- Thermal Boundary Layer Thickness
(Calculation completed in 00.004 seconds)

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15 Laminar Flow Calculators

Average temperature difference between plate and fluid
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

Thermal boundary layer thickness at distance X from leading edge Formula

Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)
𝛿Tx = 𝛿hx*Pr^(-0.333)

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 Thermal boundary layer thickness at distance X from leading edge?

Thermal boundary layer thickness at distance X from leading edge calculator uses Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333) to calculate the Thermal Boundary Layer Thickness, The Thermal boundary layer thickness at distance X from leading edge formula is defined as the distance across a boundary layer from the wall to a point where the flow temperature has essentially reached the 'free stream' temperature. Thermal Boundary Layer Thickness is denoted by 𝛿Tx symbol.

How to calculate Thermal boundary layer thickness at distance X from leading edge using this online calculator? To use this online calculator for Thermal boundary layer thickness at distance X from leading edge, enter Hydrodynamic Boundary Layer Thickness (𝛿hx) & Prandtl Number (Pr) and hit the calculate button. Here is how the Thermal boundary layer thickness at distance X from leading edge calculation can be explained with given input values -> 2.252228 = 2*0.7^(-0.333).

FAQ

What is Thermal boundary layer thickness at distance X from leading edge?
The Thermal boundary layer thickness at distance X from leading edge formula is defined as the distance across a boundary layer from the wall to a point where the flow temperature has essentially reached the 'free stream' temperature and is represented as 𝛿Tx = 𝛿hx*Pr^(-0.333) or Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333). Hydrodynamic Boundary Layer Thickness is the thickness of a hydrodynamic boundary at a distance of X & The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
How to calculate Thermal boundary layer thickness at distance X from leading edge?
The Thermal boundary layer thickness at distance X from leading edge formula is defined as the distance across a boundary layer from the wall to a point where the flow temperature has essentially reached the 'free stream' temperature is calculated using Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333). To calculate Thermal boundary layer thickness at distance X from leading edge, you need Hydrodynamic Boundary Layer Thickness (𝛿hx) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Hydrodynamic Boundary Layer Thickness & Prandtl Number 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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