Answer Happy

This problems is about "advanced heat transfer " and exactly
"steady one dimensional extended surface" and "fins -pins-or
spines"
resolve the same problem assuming that the origin
of x is at the base of the final starting from the
general solution given by equation tta(x)=c1e^mx+c2e^-mx
compare the algebra complexity of the two procedure.

get all the mathematical details of this problem and write the
answer in full detail
considera fin of finite length L. The base Temperature To of the Fin is specified, and The TiP of The Fin-is insulated (Fig3-29). we wish Find the Temperature distribution in and The heat Transfer From the fin. For This Problem The Tip of the fin is more convenient to as The origin of of x. the boundary condition are Then 3-17 The To do (o) dx zo -Base Tip 0(4700 3-171 To insulation Ooz To-To X< 0 dx where as befor Coz To-Too Since the fin is finite in le gth,we refer to the general solution given by Eq [0(x) = C Cashmx+ (sinh mx] the use of Eq (do 20) or equivalently the fact that The Temperat distribution is symmetric with respect to X shence is composed of even functions only, Yield Cazo Next, The consideration of Eq (2) z O₂ given C32% / cashml. Therefor 6(x) cosh mx. cosh mL. 3-172 2 Oo Re Solve The Same Problem assuming that the origin of K is at The base of the fin and starting from the general solution given Compare the algebraic mk -mx by Y Eq 0 (x) = C₁ e + c₂e" complexity of The Two Procedure. ] ! The total heat Transfer from the fin, evaluated from The conduction at the base of the fin is Scanned with CamScanner G
q=- [ka (dex/c] - Kashar o'z kas KA KAO. d 1 2 X=L XzL 7/2 = (hPKA) tanhme. get all the mathematical details of This Problem and write The answer in full detail