The GATE Grind

GATE 2023 AG – Question 48

Dairy and Food Engineering · Heat and Mass Transfer · 2 marks · Multiple select

Which forced-convection dimensionless-number statements are correct?

  1. Prandtl in heat transfer is analogous to Schmidt in mass transfer.
  2. Small Prandtl means thermal diffusion is less than momentum diffusion.
  3. Prandtl is momentum diffusivity divided by thermal diffusivity.
  4. Lewis is Schmidt times Prandtl.

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Show answer and explanation

Correct answer: (A) Prandtl in heat transfer is analogous to Schmidt in mass transfer.; (C) Prandtl is momentum diffusivity divided by thermal diffusivity.

Explanation

$Pr=\nu/\alpha$ and $Sc=\nu/D$ compare momentum diffusion with thermal and mass diffusion, respectively. Therefore A, C are correct. Small Pr implies thermal diffusivity is relatively large, contrary to B. Lewis number is $Le=\alpha/D=Sc/Pr$,not their product. Select **A, C**.

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