Figure 1.
![Contributions to energy conservation in a finite volume [16].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647392104e662f30ba54262a/j_tar-2023-0004_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20251030%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20251030T054257Z&X-Amz-Expires=3600&X-Amz-Signature=51408712e8a7167ffa529a6dd43a910d10de2bd6ac02abd6bbc1575464dbe793&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 2.

Figure 3.
![Schematic view of the heater layers [11].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647392104e662f30ba54262a/j_tar-2023-0004_fig_003.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20251030%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20251030T054257Z&X-Amz-Expires=3600&X-Amz-Signature=ecb988f1b25b799957504225cc3fca70b38c03e1870a5fd481d205835cb84aca&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 4.

Figure 5.

Penalty for each constraint_
| Constraint | Description | Penalty ice | Penalty temp. |
|---|---|---|---|
| No ice | - | ||
| T ε [Tmin, Tmax] | Temp. | - | |
| No ice & temp. | |||
| B ≤ Bmax | Ice & temp. |
IWT parameters used for the design of the IPS_
| IWT parameters | |
|---|---|
| α [°] | 1.70 |
| 67.48 | |
| T∞[K] | 259.95 |
| 1.2886 | |
| P∞[Pa] | 101,325 |
| MVD [μm] | 28.0 |
| 0.583 | |
| Δt[s] | 594 |
Power consumption comparison_
| IPS (constraint) | Thermopneumatic | ETIPS (no ice) | ETIPS (temp) | ETIPS (no ice/temp) | ETIPS (ice/temp) |
|---|---|---|---|---|---|
| Lip surf. (m2) | 0.14 | 0.19 | 0.19 | 0.19 | 0.19 |
| 10 | 13.02 | 6.53 | 13.60 | 5.97 | |
| 1.4 | 2.47 | 1.24 | 2.58 | 1.13 |
Heating element layers with material properties [4]_
| Material | |||
|---|---|---|---|
| Heating element (Alloy 90) | 41.02 | 8,906.26 | 385.19 |
| Erosion shield (SS 301 HH) | 16.27 | 8,025.25 | 502.42 |
| Elastomer (Cox 4300) | 0.256 | 1,384 | 1,256.04 ± 125.6 |
| Fibreglass/epoxy composite | 0.294 | 1,794.07 | 1,570.05 |
| Silicone foam insulation | 0.121 | 648.25 | 1,130.44 ± 125 |
Best design for each constraint_
| Constraint | Tmax [K] | Tmin [K] | GA | |||
|---|---|---|---|---|---|---|
| No ice | 3305.65 | 0 | 320.77 | 326.11 | 266.75 | CM-GA |
| Temp. | 1657.74 | 328.29 | 306.50 | 287.57 | 280.18 | C-GA |
| No ice & temp. | 3452.95 | 0 | 316.59 | 325.05 | 275.74 | M-GA |
| Ice & temp. | 1517.02 | 323.72 | 319.57 | 294.14 | 273.21 | CM-GA |