Nusselt number for constant heat flux for external flow Calculator

✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number [Re]			+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%

✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt number for constant heat flux for external flow [Nu]

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Formula

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Nusselt number for constant heat flux for external flow

Formula

`"Nu" = 0.453*("Re"^0.5)*("Pr"^0.333)`

Example

`"28.44467"=0.453*(("5000")^0.5)*(("0.7")^0.333)`

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Nusselt number for constant heat flux for external flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nu = 0.453*(Re^0.5)*(Pr^0.333)
This formula uses 3 Variables

Variables Used

Nusselt Number - The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.453*(Re^0.5)*(Pr^0.333) --> 0.453*(5000^0.5)*(0.7^0.333)

Evaluating ... ...

Nu = 28.4446668448609

STEP 3: Convert Result to Output's Unit

28.4446668448609 --> No Conversion Required

FINAL ANSWER

28.4446668448609 ≈ 28.44467 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< 11 Nusselt Number Calculators

Nusselt number if heating starts from distance Xo from leading edge

Go Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333)

Nusselt Number for Frame Module

Go Nusselt Number = ((0.74)* ((Reynolds Number)^(0.2))* ((Grashof Number*Prandtl Number)^(0.1))* ((Prandtl Number)^(0.2)))

Nusselt number for liquid metals and for silicones

Go Nusselt Number = (0.3387*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0468/Prandtl Number)^(0.67))^0.25)

Nusselt number for liquid metals or for silicones

Go Nusselt Number = (0.4637*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0207/Prandtl Number)^(0.67))^0.25)

Nusselt Number using Blasius Similarity

Go Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3)))

Nusselt number for constant heat flux for external flow

Go Nusselt Number = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333)

Nusselt number for constant wall temperature

Go Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333)

Nusselt number for liquid metals only

Go Nusselt Number = 0.565*(Reynolds Number*Prandtl Number)^0.5

Nusselt Number for Momentum Transport

Go Nusselt Number = (Friction Factor*Reynolds Number)/2

Average Nusselt number upto length L

Go Average Nusselt Number = 2*Nusselt Number(l)

Nusselt number at location L

Go Nusselt Number(l) = Average Nusselt Number/2

Nusselt number for constant heat flux for external flow Formula

Nusselt Number = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nu = 0.453*(Re^0.5)*(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 Nusselt number for constant heat flux for external flow?

Nusselt number for constant heat flux for external flow calculator uses Nusselt Number = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333) to calculate the Nusselt Number, The Nusselt number for constant heat flux for external flow formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone (0.6 < Pr < 50). Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for constant heat flux for external flow using this online calculator? To use this online calculator for Nusselt number for constant heat flux for external flow, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for constant heat flux for external flow calculation can be explained with given input values -> 28.44467 = 0.453*(5000^0.5)*(0.7^0.333).

FAQ

What is Nusselt number for constant heat flux for external flow?

The Nusselt number for constant heat flux for external flow formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone (0.6 < Pr < 50) and is represented as Nu = 0.453*(Re^0.5)*(Pr^0.333) or Nusselt Number = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333). The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe & 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 for constant heat flux for external flow?

The Nusselt number for constant heat flux for external flow formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone (0.6 < Pr < 50) is calculated using Nusselt Number = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333). To calculate Nusselt number for constant heat flux for external flow, you need Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number & 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?

In this formula, Nusselt Number uses Reynolds Number & Prandtl Number. We can use 8 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333)
Nusselt Number = (0.3387*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0468/Prandtl Number)^(0.67))^0.25)
Nusselt Number = 0.565*(Reynolds Number*Prandtl Number)^0.5
Nusselt Number = (0.4637*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0207/Prandtl Number)^(0.67))^0.25)
Nusselt Number = (Friction Factor*Reynolds Number)/2
Nusselt Number = ((0.74)* ((Reynolds Number)^(0.2))* ((Grashof Number*Prandtl Number)^(0.1))* ((Prandtl Number)^(0.2)))
Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3)))

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