Air at a pressure of 6000 N/m^2 and a temperature of 300C flows with a velocity of 10 m/sec over a flat plate of length 0.5 m. Estimate the rate of cooling per unit width of the plateneeded to maintain it at a surface temperature of 27C.

Explanation:

To solve this problem we use the expression for the temperature film

Then, we have to compute the Reynolds number

Re<5*10^{5}, hence, this case if about a laminar flow.

Then, we compute the Nusselt number

but we also now that

but the average heat transfer coefficient is h=2hx

h=2(8.48)=16.97W/m^{2}K

Finally we have that the heat transfer is

In this solution we took values for water properties of

v=16.96*10^{-6}m^{2}s

Pr=0.699

k=26.56*10^{-3}W/mK

A=1*0.5m^{2}

I hope this is useful for you

regards

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explanation: