Question

A steady-state heat balance for a rod can be represented as

d²T/dx² - 0.15 T = 0

The rod is 2 m long and the boundary conditions are given as T(0)=240 and T(2)=150. Utilize the shooting method (with simple Euler and an h value of 1) to start with a reasonable guess for T’(0) and then check the proximity of the guess using given information. Explain the reasoning for selecting a new guess, but do not actually perform calculations for the second guess. Thus, you should just perform 2 steps of calculations for x=1 and x=2.

Answer 1