Nusselt number 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.ⓘ Reynolds Number [Re]

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✖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 [Nu]

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Nusselt number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.37*Reynolds Number^0.6
Nu = 0.37*Re^0.6
This formula uses 2 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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 50000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.37*Re^0.6 --> 0.37*50000^0.6

Evaluating ... ...

Nu = 244.108963492985

STEP 3: Convert Result to Output's Unit

244.108963492985 --> No Conversion Required

FINAL ANSWER

244.108963492985 ≈ 244.109 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Flow over Sphere Calculators

Nusselt number for air

LaTeX Go Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))

Nusselt number for gases

LaTeX Go Nusselt Number = 2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5

Nusselt number for liquids for external flow

LaTeX Go Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)

Nusselt number

LaTeX Go Nusselt Number = 0.37*Reynolds Number^0.6

Nusselt number Formula

LaTeX Go

Nusselt Number = 0.37*Reynolds Number^0.6
Nu = 0.37*Re^0.6

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?

Nusselt number calculator uses Nusselt Number = 0.37*Reynolds Number^0.6 to calculate the Nusselt Number, Nusselt number formula is defined as a dimensionless value that characterizes convective heat transfer between a sphere and a fluid, providing a measure of the ratio of convective to conductive heat transfer across the boundary layer surrounding the sphere. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number using this online calculator? To use this online calculator for Nusselt number, enter Reynolds Number (Re) and hit the calculate button. Here is how the Nusselt number calculation can be explained with given input values -> 244.109 = 0.37*50000^0.6.

FAQ

What is Nusselt number?

Nusselt number formula is defined as a dimensionless value that characterizes convective heat transfer between a sphere and a fluid, providing a measure of the ratio of convective to conductive heat transfer across the boundary layer surrounding the sphere and is represented as Nu = 0.37*Re^0.6 or Nusselt Number = 0.37*Reynolds Number^0.6. 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.

How to calculate Nusselt number?

Nusselt number formula is defined as a dimensionless value that characterizes convective heat transfer between a sphere and a fluid, providing a measure of the ratio of convective to conductive heat transfer across the boundary layer surrounding the sphere is calculated using Nusselt Number = 0.37*Reynolds Number^0.6. To calculate Nusselt number, you need Reynolds Number (Re). With our tool, you need to enter the respective value for Reynolds 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5
Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))
Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)

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