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Consider a single stack of rectangular fins of length L and thickness t, with convection conditions corresponding to h and To. The bottom plate is well-insulated and an adiabatic fin tip condition may be assumed (a) Obtain the expression for the fin heat transfer rate (b) In a specific application, a stack that is 200 mm wide and 100 mm deep contains 50 fins, each of length L - 12 mm. The base and fins are made from aluminum (k 240 W/m K) with a uniform made from aluminum ( 240 W/m a uniform thickness of 1 mm everywhere. If temperature limitation associated with electrical component joined to the top plate dictates a maximum allowable plate temperature of T 400 K, what is the corresponding maximum power dissipation if h 150 W/m2 . K and To 300 K? 200 mm 100 mm T. 14 mm Air Too, h

engineering   Mechanical-Engineering   
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Solution : 40ok 2 oncl tio#5 3. constontties psahesNeible cantaet etonce ( → Analysis: The gene eal Solution fes dhe temp esatne Not using he boundanos mL - mL - ml mL m)L mL -mL MLmL m(xi) - Die -m乂 mo DL e@, e Hence, o Cx) :- mLの = Sigh mL Nole that temp . distoßuhof) es derived coan se peet to , dhe heat oonsR3 le be compuled Sinh mL のし·m Sinhm のし·m HencQ : 9ęs= k.OL mL = 3s.sxo.012 100 x3SS o 401 055755 50 x 3S.S b- L439gCL 240 xo.lxo.ool D.439 0 401 qAL = 87.8 watt C isto dhe batom plede) Paoex disipatione = 5770+22S o. Max q,.mx = _ Nf.qfL +(W-Nf.t) Dho, ニー4390+ ))2 mx4278 wat

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