Question

In forced convective heat transfer, Stanton number (St), Nusselt number (Nu), Reynolds number (Re) and Prandtl number (Pr) are related as

• A. \( St = \frac{Nu}{Re \, Pr} \)
• B. \( St = \frac{Nu \, Pr}{Re} \)
• C. \( St = Nu \, Pr \, Re \)
• D. \( St = \frac{Nu \, Re}{Pr} \)

Hint:

In convective heat transfer, the Stanton number provides insight into the heat transfer rate. Understanding the relationship with Nusselt, Reynolds, and Prandtl numbers helps in analyzing fluid flow and thermal effects.

Answer 1

The Correct Option is A

The Stanton number (St), Nusselt number (Nu), Reynolds number (Re), and Prandtl number (Pr) are essential parameters in forced convective heat transfer. These numbers describe the relationship between fluid flow and heat transfer in a system. The correct relationship between these parameters is given by the following equation: \[ St = \frac{Nu}{Re \, Pr} \] This equation relates the Stanton number to the Nusselt number, Reynolds number, and Prandtl number in forced convection.

- Nusselt number (Nu) represents the convective heat transfer compared to the conductive heat transfer.
- Reynolds number (Re) quantifies the type of flow (whether it is laminar or turbulent).
- Prandtl number (Pr) is the ratio of momentum diffusivity to thermal diffusivity.

Thus, the correct relationship is (A).