For a calorimeter experiment, an insulated cylindrical shell of diameter D 0 = 102 cm is placed…

For a calorimeter experiment, an insulated cylindrical shell of diameter D0 = 102 cm is placed concentrically around a 2ℓ = 2 m long furnace of diameter Di = 100 cm (Fig. 6P-4). The distribution of flame heat flux q”(z) /m2] acting axisymetrically on the inner surface of the furnace wall is linear with a maximum of  = 210,000 W/m2 in the middle of the furnace. Heat is removed by water flowing coaxially between the furnace and the shell. The water inlet temperature and velocity are Ti = 285 K and V = 1 m/s, respectively. Neglecting the furnace-wall thickness, determine (a) the heat transfer coefficient on the outer surface of the furnace, (b) the longitudinal temperature of the furnace wall.

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