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Q: The cross section of a long circular tube, which is divided into two semi cylindrical ducts by a thin wall, is shown below. 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 fore-going temperatures are invariant in the axial direction. The gases provide surface convection coefficients of h1 = h2 = 5 W/m2 ?c K, while all duct surfaces may be approximated as blackbodies (e1 = e2 = e w = 1). What is the duct wall temperature, Tw? By performing an energy balance on the gas in side 1, verify that Tg,, 1 is, in fact, equal to 5
