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This problems is about "advanced heat transfer "
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consider a Fin of Finite leng Th L. The base Temperature To of The Fin is specifield, and The Tip of the finis insulated (Fig 3-29). we wish to Find The Temperature distribution in and The heat Transfor From The Fin. For This Problem The Tip of the fin is more convenient as the origin of x. The boundary condition are then doc. 3-171 3-17 20 8 (1) = 60 вог То-то dx -Base Tip T. insulation 3 L where as befor & T-To since The Finis finite in legth, we refer To The general given by Eq [0(x) = C₂ Cashmx + C4 sinh mx] The use Eq (de 20), or, equivalently, The fact that the Temperature distribution is symmetric with respect to x, hence is composed of even Sunctions only, yields (4=0. Next, The consideration of Eq[0(L) = 0.] G gives Bcashmn 0. 3-172 cashml the total heat Transfer from the hin, evaluated from the conduction at The base of The Finis KAO. d q=- [KA ( x ) X-L ] = cashm² dz (cashmx) dx X₂L JeTall Themathematical detalls of This Problem and write The answer in full detail h, To Scanned with CamScanner