1. What is the Nusselt Number?

The Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary at a specific distance x from the leading edge. It is a dimensionless number used in heat transfer calculations.

2. How Does the Calculator Work?

The calculator uses the Nusselt Number formula:

Where:

• \( Rex \) — Reynolds number at distance X from the leading edge
• \( Pr \) — Prandtl number, the ratio of momentum diffusivity to thermal diffusivity

Explanation: This formula calculates the local Nusselt number for turbulent boundary layer flow over a flat plate.

3. Importance of Nusselt Number Calculation

Details: The Nusselt number is crucial for determining convective heat transfer coefficients, designing heat exchangers, and analyzing thermal systems in various engineering applications.

4. Using the Calculator

Tips: Enter Reynolds Number(x) and Prandtl Number values. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of Nusselt Number?
A: The Nusselt number represents the enhancement of heat transfer through a fluid layer due to convection compared to conduction alone.

Q2: When is this specific formula applicable?
A: This formula is valid for turbulent flow over a flat plate with Reynolds numbers between 5×10⁵ and 10⁷ and Prandtl numbers between 0.6 and 60.

Q3: What are typical values for Nusselt Number?
A: Nusselt number values typically range from 1 to several hundred, depending on the flow conditions and fluid properties.

Q4: How does Reynolds number affect Nusselt number?
A: Higher Reynolds numbers (indicating more turbulent flow) generally result in higher Nusselt numbers due to increased convective heat transfer.

Q5: What is the Prandtl number's role in this calculation?
A: The Prandtl number accounts for the relative thickness of the momentum and thermal boundary layers, affecting the heat transfer rate.