Nusselt number may be characterised as:

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  1. the temperature (dimensional) gradient at the surface
  2. the dimensionless temperature gradient at the surface
  3. the ratio of the convective to the conductive resistance
  4. the ratio of the rate of heat transfer due to convection to the rate of the store of the energy

Answer (Detailed Solution Below)

Option 2 : the dimensionless temperature gradient at the surface

Detailed Solution

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Explanation:-

Nusselt number

It is the ratio of heat flow rate by convection process to the heat flow rate by the conduction process.

\(Nu = \frac{{{Q_{conv}}}}{{{Q_{cond}}}} = \frac{{hA{\rm{\Delta }}T}}{{\frac{{kA{\rm{\Delta }}T}}{L}}} = \frac{{hL}}{k}\)

\(Nu_x = (\frac{\delta \theta }{\delta y'})_{y'=\theta}\)

The above equation implies that the local Nusselt number is equal to the dimensionless temperature gradient at that point on the surface provided the temperature is normalized by the reference temperature difference

26 June 1

The Nusselt number is in

Forced Convection

Nu = f (Re, Pr )

 

Free Convection

Nu = f (Gr, Pr )

 

here Nu = Nusselt's Number

Re = Reynold's Number, Pr = Prandtl Number, Gr = Grashoff Number 

Other important dimensionless numbers are:

  • Biot number  → Ratio of internal thermal resistance to boundary layer thermal resistance
  • Grashof number  → Ratio of buoyancy to viscous force
  • Prandtl number  → Ratio of momentum to thermal diffusivities
  • Reynolds number  → Ratio of inertia force to viscous force
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