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Chemical Engineering Basics - Engineering

Q1:

Nusselt number is related to Grashoff number (Gr) in turbulent & laminar flow respectively, in respect of free convection over a vertical flat plate as

A Gr0.25, Gr

B Gr0.25, Gr0.33

C Gr, Gr0.25

D Gr0.33, Gr0.25

ANS:A - Gr0.25, Gr

In the context of free convection over a vertical flat plate, the relationship between the Nusselt number (Nu) and the Grashof number (Gr) in turbulent and laminar flow respectively can be expressed as:

  • Turbulent Flow: Nu∝Gr0.25Nu∝Gr0.25
  • Laminar Flow: Nu∝Gr0.33Nu∝Gr0.33
Therefore, the correct relationship between the Nusselt number (Nu) and the Grashof number (Gr) in turbulent and laminar flow respectively is: Gr0.25, Gr0.33
  • For turbulent flow, the Nusselt number is proportional to the Grashof number raised to the power of 0.25 (Nu ∝ Gr^0.25).
  • For laminar flow, the Nusselt number is proportional to the Grashof number raised to the power of 0.33 (Nu ∝ Gr^0.33).