Chapter 8, Problem 8.59P

Exhaust gases from a wire processing oven are discharged into a tall stack, and the gas and stack surface temperatures at the outlet of the stack must be estimated. Knowledge of the outlet gas temperature $T_{m,o}$ is useful for predicting the dispersion of effluents in the thermal plume, while knowledge of the outlet stack surface temperature T, indicates whether condensation of the gasproducts will occur. The thin-walled, cylindrical stack is0.5 in in diameter and 6.0 in high. The exhaust gas flowrate is 0.5 kg/s. and (he inlet temperature is 600°C.

(a) Consider conditions for which the ambient air temperature and wind velocity are 4°C and 5 m/s.respectively. Approximating the thermophysicalproperties of the gas as those of atmospheric air,estimate the outlet gas and stack surface temperatures for the given conditions.
(b) The gas outlet temperature is sensitive to variationsin the ambient air temperature and wind velocity.For $T_{\infty }=-25$ °C. 5°C, and 35°C, compute and plotthe gas outlet temperature as a function of windvelocity for $2\le V\le 10$ m/s.