Nusselt Number using Blasius Similarity Calculator

✖Laminar Reynolds Number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities.ⓘ Laminar Reynolds Number [Re_L]			+10% -10%
✖Laminar Prandtl Number is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Laminar Prandtl Number [Pr_L]			+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 using Blasius Similarity [Nu]

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Formula

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Nusselt Number using Blasius Similarity

Formula

`"Nu" = ((0.664)* (("Re"_{"L"})^(0.5))* (("Pr"_{"L"})^(1/3))) `

Example

`"47.74637"= ((0.664)* (("6000")^(0.5))* (("0.8")^(1/3))) `

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Nusselt Number using Blasius Similarity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3)))
Nu = ((0.664)* ((Re_L)^(0.5))* ((Pr_L)^(1/3)))
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.
Laminar Reynolds Number - Laminar Reynolds Number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities.
Laminar Prandtl Number - Laminar Prandtl Number 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

Laminar Reynolds Number: 6000 --> No Conversion Required
Laminar Prandtl Number: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = ((0.664)* ((Re_L)^(0.5))* ((Pr_L)^(1/3))) --> ((0.664)* ((6000)^(0.5))* ((0.8)^(1/3)))

Evaluating ... ...

Nu = 47.7463708467053

STEP 3: Convert Result to Output's Unit

47.7463708467053 --> No Conversion Required

FINAL ANSWER

47.7463708467053 ≈ 47.74637 <-- Nusselt Number

(Calculation completed in 00.020 seconds)

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Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

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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 using Blasius Similarity Formula

Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3)))
Nu = ((0.664)* ((Re_L)^(0.5))* ((Pr_L)^(1/3)))

What is a Blasius boundary layer?

A Blasius boundary layer (named after Paul Richard Heinrich Blasius) describes the steady two-dimensional laminar boundary layer that forms on a semi-infinite plate which is held parallel to a constant unidirectional flow.

What is Nusselt Number?

The Nusselt number is defined as the ratio of convection heat transfer to fluid conduction heat transfer under the same conditions.

How to Calculate Nusselt Number using Blasius Similarity?

Nusselt Number using Blasius Similarity calculator uses Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3))) to calculate the Nusselt Number, The Nusselt Number using Blasius Similarity formula is defined for the laminar boundary layer flow over a flat plate in terms of Reynolds and Prandtl number, given that Re is less than 200,000 and Pr is greater than or equal to 0.6. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number using Blasius Similarity using this online calculator? To use this online calculator for Nusselt Number using Blasius Similarity, enter Laminar Reynolds Number (Re_L) & Laminar Prandtl Number (Pr_L) and hit the calculate button. Here is how the Nusselt Number using Blasius Similarity calculation can be explained with given input values -> 47.74637 = ((0.664)* ((6000)^(0.5))* ((0.8)^(1/3))) .

FAQ

What is Nusselt Number using Blasius Similarity?

The Nusselt Number using Blasius Similarity formula is defined for the laminar boundary layer flow over a flat plate in terms of Reynolds and Prandtl number, given that Re is less than 200,000 and Pr is greater than or equal to 0.6 and is represented as Nu = ((0.664)* ((Re_L)^(0.5))* ((Pr_L)^(1/3))) or Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3))). Laminar Reynolds Number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities & Laminar Prandtl Number 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 using Blasius Similarity?

The Nusselt Number using Blasius Similarity formula is defined for the laminar boundary layer flow over a flat plate in terms of Reynolds and Prandtl number, given that Re is less than 200,000 and Pr is greater than or equal to 0.6 is calculated using Nusselt Number = ((0.664)* ((Laminar Reynolds Number)^(0.5))* ((Laminar Prandtl Number)^(1/3))). To calculate Nusselt Number using Blasius Similarity, you need Laminar Reynolds Number (Re_L) & Laminar Prandtl Number (Pr_L). With our tool, you need to enter the respective value for Laminar Reynolds Number & Laminar 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 Laminar Reynolds Number & Laminar 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 = 0.453*(Reynolds Number^0.5)*(Prandtl Number^0.333)
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)))

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