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Match List - I and List II :

List - IList - II
(a) Stanton number(i) natural convection
(b) Grashof number(ii) mass transfer
(c) Peclet number(iii) forced convection
(d) Schmidt number(iv) forced convection for small Prandtl number fluids

Choose the most appropriate answer from the options given below :

  • A.(a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)
  • B.(a)-(ii), (b)-(iv), (c)-(iii), (d)-(i)
  • C.(a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)
  • D.(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Answer: C

The correct matching is (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii).

  • Stanton number, \(St = Nu/(Re\,Pr)\), is used in forced convection (a-iii).
  • Grashof number, buoyancy over viscous force, governs natural convection (b-i).
  • Peclet number, \(Pe = Re\,Pr\), is used in forced convection where Pr is small, as in liquid metals (c-iv).
  • Schmidt number, momentum diffusivity over mass diffusivity, belongs to mass transfer (d-ii).

Two pairs are enough: Grashof with natural convection and Schmidt with mass transfer appear together only in this option. The options starting (a)-(ii) give Stanton to mass transfer, which is wrong.

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