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A flat plate’s surface temperatures are initially at 120 oC and 60 oC with one surface’s...

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Mechanical Engineering

A flat plate’s surface temperatures are initially at 120 oC and60 oC with one surface’s temperature being lower due to air at 20oC flowing over it with a velocity of 2m/s having a heat transfercoefficient of 30 W/m2×K. The thermal conductivities of the sheetmetal and air are 35 W/m×K and 0.0262 W/m×K, respectively

a. What are the modes of heat transfer?

b. Is this a time dependent or steady state problem? Why or whynot?

c. Is this a 1-D, 2-D or 3-D problem? Why or why not?

d. The thermal conductivities in the sheet metal and air aresignificantly different. Recalling the definition

of thermal conductivity, what can you conclude about thematerials’ abilities to transfer heat?

e.How would the heat transfer in the system differ if thecooling was through natural convection?

Explain your reasoning.

f. Draw a schematic of the energy flow.

g.Write down the energy balances to determine the temperaturegradient at the top surface of the plate.

Do not solve.

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