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Heat Transfer
Convection & Radiation
GATE 2022
Medium

Which of the following non-dimensional terms is an estimate of Nusselt number?

  • ARatio of internal thermal resistance of a solid to the boundary layer thermal resistance
  • BRatio of the rate at which internal energy is advected to the rate of conduction heat transfer
  • Non-dimensional temperature gradient
  • DNon-dimensional velocity gradient multiplied by Prandtl number

Explanation

By definition, Nu=hL/k, and from boundary-layer analysis h=−k(∂T/∂y)|surface/(Ts−T∞), so Nu=−(∂T*/∂y*)|surface — a non-dimensional temperature gradient evaluated at the surface. (Option A is instead the definition of the Biot number, not Nusselt number.)

Source: GATE ME 2022 Session 2 (ME-2) (2022)

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