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GATE 2020 CH – Question 28

Heat Transfer · Convection, boundary layers and heat transfer coefficients · 1 mark · Multiple choice

Momentum diffusivity divided by thermal diffusivity is the

  1. Reynolds number
  2. Prandtl number
  3. Nusselt number
  4. Peclet number

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Show answer and explanation

Correct answer: (B) Prandtl number

Explanation

Momentum diffusivity is kinematic viscosity $\nu=\mu/\rho$, while thermal diffusivity is $\alpha=k/(\rho c_p)$. Their ratio is $\nu/\alpha=\mu c_p/k$, the Prandtl number. Reynolds and Peclet compare convection to diffusion; Nusselt compares convective and conductive heat transfer. Select B.

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