Modeling of chemical engineering. Distributed system A step by step approach to the modeling of chemical engineering process

4.2) Consider the heat conduction on an extended surface represented by the fin shown in the Figure below, with dimensions L x L x 10 L. The fin, which was initially at 25 C, is fixed to a wall at 150 C. The fin exchange heat with the environment, which is at 25 C. Assume that the wall and environmental temper- atures do not change over time. (a) Find the PDE that represents the fin temperature along x, y, and z, and over time. (b) Find the initial/boundary necessary to solve the PDE. Tenu = 25C T= 150C 10 L YA Z