Table 4 Segmentation of frozen PCM values and the percentage impact of fins on its solidification in a longitudinal-finned tank with a first-type boundary condition.
Number of longitudinal fins | Time (s) | The effective area under the freezing front curve influenced by the fin | The effective volume of frozen PCM influenced by the fin in each cell | The volume of frozen PCM influenced by the first region in each cell | The total volume of frozen PCM in each cell | The total volume of each cell | The percentage impact of fins on the increase in frozen PCM volume |
---|---|---|---|---|---|---|---|
 | 350 | 0.73676 | 1.8522 | 2.9422 | 4.7944 | 7.5820 | 62.95% |
 | 700 | 0.70768 | 1.7791 | 4.2745 | 6.0536 | 7.5820 | 41.62% |
4 | 900 | 0.63538 | 1.5973 | 4.8543 | 6.4516 | 7.5820 | 32.90% |
 | 1024 | 0.59974 | 1.5077 | 5.1534 | 6.6611 | 7.5820 | 29.26% |
 | 200 | 0.66393 | 1.6691 | 1.0884 | 2.7575 | 3.7910 | 153.35% |
 | 350 | 0.73294 | 1.8426 | 1.4711 | 3.3137 | 3.7910 | 125.25% |
8 | 423 | 0.73645 | 1.8514 | 1.63 | 3.4814 | 3.7910 | 113.58% |
 | 760 | 0.6209 | 1.5609 | 2.2301 | 3.7910 | 3.7910 | 69.99% |