E-CodeStefan melting problem — a TI-84 Plus CE program
STEFAN is a TI-BASIC program for the TI-84 Plus CE. One-phase melting of a semi-infinite solid: solves the transcendental Stefan equation for lambda, gives interface position, speed and time to melt a depth.
What it asks for and what it shows
It asks for 4 values at its prompts. In the example below it shows LAMBDA, S(T) MM, V MM/S, MELT MN.
Example run
One of its oracle test cases: “Ste .2”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 0.2 |
| Input 2 | 1.2ᴇ-5 |
| Input 3 | 3600 |
| Input 4 | 0.02 |
| The screen shows | |
LAMBDA= | 0.3064239054 |
S(T) MM= | 127.3780255 |
V MM/S= | 0.01769139242 |
MELT MN= | 1.479184056 |
How it's checked
5 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 27 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 “Stefan melting problem” (STEFAN).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Semi-infinite solid / diffusion
- Newton's law of cooling
- Pin fin with convective tip
- Transient plane wall (first term)
- 2-D steady conduction, plate series
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs