The cross section of a long circular tube, which is

Chapter , Problem 13.105

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The cross section of a long circular tube, which is divided into two semicylindrical ducts by a thin wall, is shown. Sides 1 and 2 are maintained at temperatures of T1 600 K and T2 400 K, respectively, while the mean temperatures of gas flows through ducts 1 and 2 are Tg,1 571 K and Tg,2 449 K, respectively. The foregoing temperatures are invariant in the axial direction. The gases provide surface convection coefficients of h1 h2 5 W/m2 K, while all duct surfaces may be approximated as blackbodies (1 2 w 1). What is the duct wall temperature, Tw? By performing an energy balance on the gas in side l, verify that Tg,1 is, in fact, equal to 571 K. 13.106

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