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Heat Transfer - Engineering

Q1:

Prandtl number is given by

A

B

C

D

ANS:C -

The Prandtl number (๐‘ƒ๐‘ŸPr) is a dimensionless number used in heat transfer and fluid dynamics. It represents the ratio of momentum diffusivity to thermal diffusivity. The Prandtl number is given by: ๐‘ƒ๐‘Ÿ=Momentum diffusivityThermal diffusivity=๐œ‡⋅๐‘๐‘๐‘˜Pr=Thermal diffusivityMomentum diffusivityโ€‹=kμ⋅cpโ€‹โ€‹ Where:

  • ๐œ‡μ is the dynamic viscosity of the fluid,
  • ๐‘๐‘cpโ€‹ is the specific heat at constant pressure of the fluid, and
  • ๐‘˜k is the thermal conductivity of the fluid.
In simpler terms, the Prandtl number quantifies the relative importance of momentum diffusivity (viscosity) to thermal diffusivity in a fluid.