Nusselt number at distance x from leading edge Calculator

✖Reynolds number(x) at a distance X from the leading edge.ⓘ Reynolds Number(x) [Re_x]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%

✖Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary.ⓘ Nusselt number at distance x from leading edge [Nux]

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Formula

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Nusselt number at distance x from leading edge

Formula

`"Nux" = 0.0296*("Re"_{"x"}^0.8)*("Pr"^0.33)`

Example

`"0.143226"=0.0296*(("8.314")^0.8)*(("0.7")^0.33)`

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Nusselt number at distance x from leading edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)
Nux = 0.0296*(Re_x^0.8)*(Pr^0.33)
This formula uses 3 Variables

Variables Used

Nusselt Number(x) - Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary.
Reynolds Number(x) - Reynolds number(x) at a distance X from the leading edge.
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

Reynolds Number(x): 8.314 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nux = 0.0296*(Re_x^0.8)*(Pr^0.33) --> 0.0296*(8.314^0.8)*(0.7^0.33)

Evaluating ... ...

Nux = 0.143226071642097

STEP 3: Convert Result to Output's Unit

0.143226071642097 --> No Conversion Required

FINAL ANSWER

0.143226071642097 ≈ 0.143226 <-- Nusselt Number(x)

(Calculation completed in 00.004 seconds)

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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))

Nusselt number at distance x from leading edge Formula

Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)
Nux = 0.0296*(Re_x^0.8)*(Pr^0.33)

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 Nusselt number at distance x from leading edge?

Nusselt number at distance x from leading edge calculator uses Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33) to calculate the Nusselt Number(x), The Nusselt number at distance x from leading edge formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt Number(x) is denoted by Nux symbol.

How to calculate Nusselt number at distance x from leading edge using this online calculator? To use this online calculator for Nusselt number at distance x from leading edge, enter Reynolds Number(x) (Re_x) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number at distance x from leading edge calculation can be explained with given input values -> 0.143226 = 0.0296*(8.314^0.8)*(0.7^0.33).

FAQ

What is Nusselt number at distance x from leading edge?

The Nusselt number at distance x from leading edge formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nux = 0.0296*(Re_x^0.8)*(Pr^0.33) or Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33). Reynolds number(x) at a distance X from the leading edge & 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 Nusselt number at distance x from leading edge?

The Nusselt number at distance x from leading edge formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33). To calculate Nusselt number at distance x from leading edge, you need Reynolds Number(x) (Re_x) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number(x) & Prandtl 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 Nusselt Number(x)?

In this formula, Nusselt Number(x) uses Reynolds Number(x) & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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