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Exhaust gases from a manufacturing plant are being discharged through a 10-m-tall exhaust stack with outer...

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Mechanical Engineering

Exhaust gases from a manufacturing plant are being dischargedthrough a 10-m-tall exhaust stack with outer diameter of 1.2 m. Theexhaust gases are discharged at a rate of 1.2 kg/s, whiletemperature drop between inlet and exit of the exhaust stack is30°C, and the constant pressure specific heat of the exhaust gassesis 1600 J/kg·K. On a particular day, wind at 27°C is blowing acrossthe exhaust stack with a velocity of 10 m/s, while the outersurface of the exhaust stack experiences radiation with thesurrounding at 27°C. Solar radiation is incident on the exhauststack outer surface at a rate of 1400 W/m2, and both the emissivityand solar absorptivity of the outer surface are 0.9. Determine theexhaust stack outer surface temperature in oC. The properties ofair at 80°C are k = 0.02953 W/m?K, v = 2.097 × 10?5 m2/s, and Pr =0.7154. (Round the final answer to two decimal places.)

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