Table 2 The maximum values of stream function (\({\uppsi }_{\text{max}}\)), the values of steady-state stream function (\({\uppsi }_{\text{steady}}\)), the maximum value of von Misses stress (\({\upsigma }_{\text{max}}\)), the values of steady-state von Mises stress \(\left({\upsigma }_{\text{steady}}\right)\), and the total Nusselt number for different cases (\({\text{Nu}}_{\text{total}}\)).
Cases | \({\uppsi }_{\text{max}}\) | \({\uppsi }_{\text{steady}}\) | \({\upsigma }_{\text{max}}\) | \({\upsigma }_{\text{steady}}\) | \({\text{Nu}}_{\text{total}}\) |
|---|---|---|---|---|---|
1 | − 177.36 | − 18.846 | 1.4869E11 | 1.2861E11 | 10.519 |
2 | − 177.36 | − 29.575 | 1.7002E11 | 1.7002E11 | 13.834 |
3 | − 177.36 | − 37.141 | 1.6673E11 | 1.6645E11 | 14.303 |
4 | − 125.13 | − 16.062 | 1.4174E11 | 1.3110E11 | 12.484 |
5 | − 125.13 | − 29.580 | 1.7284E11 | 1.7002E11 | 13.820 |
6 | − 51.467 | − 18.844 | 1.2857E11 | 1.2857E11 | 9.9678 |
7 | − 159.65 | − 19.430 | 1.2800E11 | 1.1885E11 | 12.766 |
8 | − 159.65 | − 30.856 | 1.5629E11 | 1.5629E11 | 15.567 |
9 | − 159.65 | − 48.437 | 1.4150E11 | 1.4048E11 | 16.076 |
10 | − 133.45 | − 16.775 | 1.2695E11 | 1.2625E11 | 12.928 |
11 | − 133.45 | − 30.861 | 1.5975E11 | 1.5632E11 | 15.437 |
12 | − 54.754 | − 19.428 | 1.1885E11 | 1.1885E11 | 12.190 |
13 | − 140.59 | − 25.649 | 1.3207E11 | 1.3207E11 | 13.350 |
14 | − 144.87 | – | 1.4620E11 | – | 13.065 |
15 | − 144.86 | – | 1.4225E11 | – | 12.788 |
16 | − 144.91 | – | 9.7411E10 | – | 11.582 |
17 | − 173.59 | − 17.766 | 1.6865E11 | 1.4332E11 | 10.581 |
18 | − 173.59 | − 28.619 | 1.8955E11 | 1.8955E11 | 13.721 |
19 | − 173.59 | − 35.703 | 1.8678E11 | 1.8619E11 | 14.140 |
20 | − 173.59 | – | 1.7703E11 | – | 12.969 |
21 | − 100.15 | − 15.483 | 1.7134E11 | 1.4783E11 | 12.309 |
22 | − 100.16 | − 28.617 | 1.9449E11 | 1.8956E11 | 13.671 |
23 | − 100.16 | – | 1.8297E11 | – | 14.188 |
24 | − 36.097 | − 17.749 | 1.4337E11 | 1.4337E11 | 9.9211 |
25 | − 36.182 | − 25.664 | 1.3194E11 | 1.3153E11 | 12.060 |
