Thermodynamics HW Solutions 957

Thermodynamics HW Solutions 957 - Chapter 12 Radiation Heat...

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Chapter 12 Radiation Heat Transfer 12-70 The temperature, pressure, and composition of combustion gases flowing inside long tubes are given. The rate of heat transfer from combustion gases to tube wall is to be determined. Assumptions All the gases in the mixture are ideal gases. Analysis The volumetric analysis of a gas mixture gives the mole fractions y i of the components, which are equivalent to pressure fractions for an ideal gas mixture. Therefore, the partial pressures of CO 2 and H 2 O are atm 09 . 0 atm) 1 ( 09 . 0 atm 06 . 0 atm) 1 ( 06 . 0 2 2 H CO = = = = = = P y P P y P O w c T s = 600 K D = 15 cm Combustion gases, 1 atm T g = 1500 K The mean beam length for an infinite cicrcular cylinder is, from Table 12-4, L = 0.95(0.15 m) = 0.1425 m Then, atm ft 0.042 atm m 0128 . 0 m) 5 atm)(0.142 09 . 0 ( atm ft .028 0 atm m 00855 . 0 m) 5 atm)(0.142 06 . 0 ( = = = = = = L P L P w c The emissivities of CO 2 and H 2 O corresponding to these values at the gas temperature of T g = 1500 K and
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