GATE AG 2014 • Q30 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Steady state heat transfer in conduction, convection and radiation

Question Statement:

Identify the INCORRECT statement about the relevance of various dimensionless numbers in transport processes

Options:

  • (A) Reynolds number is relevant in forced convection and Grashof number is relevant in natural convection
  • (B) Prandtl number is relevant in heat transfer and Schmidt number is relevant in mass transfer
  • (C) Biot number is relevant in heat transfer and Froude number is relevant in mass transfer
  • (D) Nusselt number is relevant in heat transfer and Sherwood number is relevant in mass transfer

Official Answer Key:

C

Step-by-Step Solution & Explanation

(A), (B) and (D) correctly pair each named number with its standard transport-process role (Reynolds–forced convection, Grashof–natural convection, Prandtl–heat transfer, Schmidt–mass transfer, Nusselt–heat transfer, Sherwood–mass transfer analogue). In (C), the Biot number correctly relates to heat transfer, but the Froude number (ratio of inertial to gravitational forces) is relevant to free-surface/open-channel flow phenomena, not mass transfer — making (C) the incorrect statement. Answer: (C).

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