AdvancedTopic 88 of 105Thermodynamics & Fluids
Nusselt number
Dimensionless convective heat transfer coefficient.
In depth
Nu=hL/k is the ratio of convective to conductive heat transfer in a fluid layer. Correlations e.g. Dittus-Boelter Nu=0.023Re^{0.8}Pr^{0.4} for turbulent pipe flow. Pr=ν/α compares momentum and thermal diffusion. Laminar pipe flow has Nu≈3.66 (constant wall T).
Key points
- Stanton number
- Colburn j-factor
- Use fluid properties at film temperature
ExampleWater at Re=50 000 and Pr=7 in a 25 mm pipe gives h≈8 kW/m²K.
What is Nusselt number?
Dimensionless convective heat transfer coefficient.
Why is it important to understand nusselt number?
The Nusselt number is the dimensionless heat transfer coefficient, so it lets you scale convective heat transfer across sizes and fluids.
What does the Nusselt number represent?
The ratio of convective to conductive heat transfer across a boundary layer, so a larger value means better convection.
How is it used in design?
Correlations give Nusselt number as a function of Reynolds and Prandtl numbers, from which the heat transfer coefficient is found.
How is Nusselt number used in practice?
Typical applications include correlating heat transfer data for a tube bank in a boiler, comparing convective heat transfer for air and water in a pipe and estimating the convection on a plate using a standard correlation.
What should I learn before Nusselt number?
Study "Natural and forced convection" first (topic 87 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.
What are the key points of Nusselt number?
Stanton number. Colburn j-factor. Use fluid properties at film temperature.
Can you give an example of Nusselt number?
Water at Re=50 000 and Pr=7 in a 25 mm pipe gives h≈8 kW/m²K.
What comes after Nusselt number?
The next topic is "Radiation", which builds directly on this one.
How difficult is Nusselt number?
It is classed as Advanced in Thermodynamics & Fluids (topic 88 of 105). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Thermodynamics & Fluids.