It is proposed to air-cool the cylinders of a combustion

Chapter , Problem 3.16

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It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annular fins (k 240 W/m K) to the cylinder wall (k 50 W/m K). The air is at 320 K and the corresponding convection coefficient is 100 W/m2 K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of qi 105 W/m2 . Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature Ti , the interface temperature T1, and the fin base temperature Tb. Determine these temperatures if the interface contact resistance is Rt, c 104 m2 K/W.

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