Partial Differential Equations: Explicit Method
As project manager, you are responsible for reviewing the work of several engineers on staff. The following solution was submitted to you as part of a final report. Write a brief response.
-------------------------------------------------------------------------------------------------------------
The explicit method was used to solve the temperature distribution in the long, thin insulated rod used in our manufacturing process. The length of the rod is 10 cm, and k = 0.835 cm2/s. The boundary conditions are T(0) = 100° , T(10) = 50° . At t=0, the temperature in the rod is 25° . The governing equation is:
Using the explicit method:
t (sec) |
0 |
2.5 |
5 |
7.5 |
10 |
x (cm) |
|||||
0 |
100 |
100 |
100 |
100 |
100 |
2 |
25 |
64.141 |
62.428 |
73.163 |
73.615 |
4 |
25 |
25.000 |
45.427 |
47.193 |
57.970 |
6 |
25 |
25.000 |
31.809 |
41.873 |
44.222 |
8 |
25 |
38.047 |
37.476 |
41.054 |
46.150 |
10 |
50 |
50 |
50 |
50 |
50 |
