E-CodeTransient plane wall (first term) — a TI-84 Plus CE program
HEISLER is a TI-BASIC program for the TI-84 Plus CE. Convective heating/cooling of a plane wall: eigenvalue by bisection, centre and off-centre temperature, heat fraction, validity check.
What it asks for and what it shows
It asks for 8 values at its prompts. In the example below it shows BI, ZETA1, FO, T MID C, T AT X, Q/Q0.
Example run
One of its oracle test cases: “steel plate, Fo .77”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 15 |
| Input 2 | 4ᴇ-6 |
| Input 3 | 200 |
| Input 4 | 0.025 |
| Input 5 | 20 |
| Input 6 | 200 |
| Input 7 | 120 |
| Input 8 | 0.01 |
| The screen shows | |
BI= | 0.3333333333 |
ZETA1= | 0.5471607573 |
FO= | 0.768 |
T MID C= | 49.89637513 |
T AT X= | 53.47714774 |
Q/Q0= | 0.2070824858 |
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 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 “Transient plane wall (first term)” (HEISLER).
- 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
- 2-D steady conduction, plate series
- Stefan melting problem
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs