A natural convection air heater consists of an array

Chapter 9, Problem 9.83

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A natural convection air heater consists of an array ofparallel, equally spaced vertical plates, which may bemaintained at a fixed temperature Tsby embedded elec-trical heaters. The plates are of length and widthL?W?300 mm and are in quiescent, atmospheric airat T??20?C. The total width of the array cannotexceed a value of War?150 mm.For Ts?75?C, what is the plate spacing Sthatmaximizes heat transfer from the array? For this spac-ing, how many plates comprise the array and what isthe corresponding rate of heat transfer from the array?

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