E-CodeSemi-infinite solid / diffusion — a TI-84 Plus CE program
SEMIINF is a TI-BASIC program for the TI-84 Plus CE. Temperature (or concentration) profile, surface flux, penetration depth and half-response time after a surface step, via the error function.
What it asks for and what it shows
It asks for 6 values at its prompts. In the example below it shows ETA, T(X,T), QS W/M2, DEPTH M, T50 S.
Example run
One of its oracle test cases: “steel block, eta .5”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 50 |
| Input 2 | 1.4ᴇ-5 |
| Input 3 | 20 |
| Input 4 | 200 |
| Input 5 | 0.02 |
| Input 6 | 60 |
| The screen shows | |
ETA= | 0.3450327797 |
T(X,T)= | 132.6053417 |
QS W/M2= | 175197.5102 |
DEPTH M= | 0.115931014 |
T50 S= | 31.40156198 |
How it's checked
4 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 28 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “Semi-infinite solid / diffusion” (SEMIINF).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Transient plane wall (first term)
- Stefan melting problem
- Newton's law of cooling
- Pin fin with convective tip
- 2-D steady conduction, plate series
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs