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GATE 2026 MT – Question 27

Transport Phenomena and Rate Processes · Dimensional analysis · 1 mark · Multiple choice

Which one of the following options is correct? In a convective heat transfer for laminar flow over a flat plate, Nusselt number is a function of Reynolds number and Prandtl number. Similarly, in a convective mass transfer for laminar flow over a flat plate, Sherwood number is a function of:

  1. Schmidt number and Reynolds number
  2. Weber number and Reynolds number
  3. Schmidt number and Weber number
  4. Weber number and Prandtl number

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Correct answer: (A) Schmidt number and Reynolds number

Explanation

Heat/mass-transfer analogy replaces Nusselt with Sherwood and thermal diffusivity with mass diffusivity. Reynolds number still characterizes fluid inertia relative to viscosity; Schmidt number ν/D replaces Prandtl number ν/α. Thus laminar flat-plate Sherwood number depends on **Schmidt and Reynolds numbers, A**.