Air at 40C flows over a 2 m long flat plate with a free stream velocity of 7 m/s. Assume the width of the plate (into the paper) is 0.5 m. If the plate is at a constant temperature of 100C, find:

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Complete Question

Air at 40C flows over a 2 m long flat plate with a free stream velocity of 7m/s. Assume the width of the plate (into the paper) is 0.5 m. If the plate is at a co temperature of 100C,find:

The total heat transfer rate from the plate to the air

Answer:

[tex]q=1.7845[/tex]

Explanation:

From the question we are told that:

Air Temperature [tex]T_1=40c[/tex]

Length [tex]l=2m[/tex]

Velocity [tex]v=7m/s[/tex]

Width [tex]w=0.5[/tex]

Constant temperature [tex]T_t= 100C[/tex]

Generally the equation for Total heat Transfer is mathematically given by

 [tex]q=hA(T_s-T_\infty)[/tex]

Where

h=Convective heat transfer coefficient

 [tex]h=29.9075w/m^2k[/tex]

Therefore

 [tex]q=h(L*B)(T_s-T_\infty)[/tex]

 [tex]q=29.9075*(2*0.5)(100+273-(40+273))[/tex]

 [tex]q=1794.45w[/tex]

 [tex]q=1.7845[/tex]