Question Bank • QB_EXP_DFE_CNV_002 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Convective Heat Transfer & Dimensionless Numbers

Subtopic: Prandtl number physical significance

Question Statement:

The Prandtl number ($Pr = \frac{\nu}{\alpha} = \frac{\mu c_p}{k}$) represents the ratio of:

Options:

  • (A) Momentum diffusivity (kinematic viscosity) to thermal diffusivity
  • (B) Inertial forces to viscous forces
  • (C) Convective heat transfer to pure conductive heat transfer
  • (D) Buoyancy forces to viscous forces

Answer Key:

A

Step-by-Step Solution & Explanation

The Prandtl number is a pure fluid property defined as $Pr = \frac{\nu}{\alpha} = \frac{\mu / \rho}{k / (\rho c_p)} = \frac{\mu c_p}{k}$, representing the relative growth rates of velocity and thermal boundary layers.
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