Problem 2 (40, pts) Consider the following 1-D, stead state heat conduction problem with extended fins. The center region of 2L has a heat generation per unit volume gen and a thermal conductivity of k. Each side of the region is attached with 5 extended fins to enhance the heat transfer. The fins are arranged symmetrically with respect to the center line (x=0) and are subject to convective heat transfer with Too and h. There are 5 fins on each side, which is w wide into the paper. The base plate is of thickness u. The base plate and the fin are of the same material with thermal conductivity k2. Obtain the expression for (a 5 pts) the base temperature Tbase in terms of w, L, H, h, T, d, k2, t, egen and b; and (b 5pts) TL. (c, 5pts) Obtain the governing equation and appropriate boundary conditions for the region of x=0 to x=L. (d 10 pts) Obtain the expression for temperature distribution in the region of x=0 to x=L. (e 5 pts) Obtain expression for temperature at the center line To = T(x=0). h, Too d TITTT- t To Tbase egen Base plate ATTIT h, To 0 T K