Subtopic: Steady state heat transfer in conduction, convection and radiation
Question Statement:
Which of the following dimensionless numbers are correctly paired with their physical definitions in fluid thermal transport?
Options:
(A) Nusselt number ($Nu = \frac{h D}{k}$): Ratio of convective heat transfer to pure conductive heat transfer across the fluid boundary layer
(B) Prandtl number ($Pr = \frac{C_p \mu}{k} = \frac{\nu}{\alpha}$): Ratio of momentum diffusivity to thermal diffusivity
(C) Reynolds number ($Re = \frac{\rho v D}{\mu}$): Ratio of inertial forces to viscous forces
(D) Péclet number ($Pe = Re \times Pr$): Ratio of conductive thermal transport to bulk advective transport
Answer Key:
A, B, C
Step-by-Step Solution & Explanation
Statements A, B, and C are correct standard definitions. Statement D is INCORRECT because the Péclet number ($Pe = Re \cdot Pr = \frac{v D}{\alpha}$) represents the ratio of advective heat transport to conductive heat transport (the inverse of what is stated).