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GATE 2024 MT – Question 39

Transport Phenomena and Rate Processes · Dimensional analysis · 2 marks · Multiple choice

Match dimensionless numbers in Column I with their transport-phenomena applications in Column II.

Column I:

P. Reynolds number

Q. Schmidt number

R. Prandtl number

S. Biot number

Column II:

1. Momentum and mass transfer

2. Momentum and heat transfer

3. Convective and conductive heat transfer

4. Laminar to turbulent flow

  1. P – 4, Q – 1, R – 3, S – 2
  2. P – 3, Q – 2, R – 4, S – 1
  3. P – 4, Q – 1, R – 2, S – 3
  4. P – 2, Q – 3, R – 1, S – 4

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Correct answer: (C) P – 4, Q – 1, R – 2, S – 3

Explanation

Reynolds number characterizes inertia/viscosity and laminar–turbulent flow (P4).

Schmidt compares momentum to mass diffusivity (Q1); Prandtl compares momentum to thermal diffusivity (R2).

Biot compares boundary convection with internal conduction resistance (S3). **C**.