Consider the flow of mercury (a liquid metal) in a tube. How will the hydrodynamic and thermal entry lengths compare if the flow is laminar? How would they compare if the flow were turbulent?
What will be an ideal response?
The hydrodynamic and thermal entry lengths are given as 
and 
for laminar flow, and 
in turbulent flow. Noting that Pr << 1 for liquid metals, the thermal entry length is smaller than the hydrodynamic entry length in laminar flow. In turbulent, the hydrodynamic and thermal entry lengths are independent of Re or Pr numbers, and are comparable in magnitude.
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