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Steel (AISI 1010) plates of thickness δ=δ= 12 mm
and length L=L= 1 m on a side are conveyed from a heat
treatment process and are concurrently cooled by atmospheric air of
velocity u∞=u∞= 10 m/s and T∞=T∞= 20°C in
parallel flow over the plates.
For an initial plate temperature of Ti=Ti=300°C, what is
the rate of heat transfer from the plate? What is the corresponding
rate of change of the plate temperature? The velocity of the air is
much larger than that of the plate. Assume the critical Reynolds
number is 5×105.
Step 1
What is the value of the thermal conductivity of air evaluated
at the film temperature and one atmosphere pressure, in
W/m·K?
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Step 2
What is the average Nusselt number for the plate?
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Step 3
When the plate is at its initial temperature, what is the total
heat transfer rate from both sides of the plate, in W?
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Step 4
What is the value of the Biot number for this problem?
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Step 5
What is the initial rate of change of plate temperature, in
°C/s?