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Grashoff number has a significant role in heat transfer by

1. Conduction
2. Natural convection
3. Forced convection
4. Radiation

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Correct Answer - Option 2 : Natural convection

Explanation:-

\(\rm Grashoff\;number = \frac{{{\rm{Buoyancy\;Force}}}}{{{\rm{Viscus\;Force}}}}\)

\(Gr = {\rm{\;}}\frac{{{\rm{g\beta \Delta T}}{{\rm{L}}^3}}}{{{{\rm{\nu }}^2}}}\)

g = acceleration due to gravity, β = isobaric volume expansion coefficient of fluid, ΔT = temperature difference, L = characteristic dimension of body,ν = kinematic viscosity

Some important points regarding Grashoff number

  • The role played by the Reynolds number in forced convection is played by the Grashoff number in natural convection.
  • The flow in Free convection Heat Transfer is decided as laminar or turbulent based on the value of (Gr Pr) product that is Rayleigh number (Ra)

 

(Gr Pr) < 109

Flow is laminar

(Gr Pr) > 109

Flow is turbulent


Other important dimensionless numbers are:

  • Biot number  → Ratio of internal conductive resistance to external convective resistance.
  • Grashoff number  → Ratio of buoyancy to viscous force
  • Prandtl number  → Ratio of momentum diffusivity to thermal diffusivities
  • Reynolds number  → Ratio of inertia force to viscous force.

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