Research Article
Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates
Table 2
The analytic results of at different terms of approximation compared with the numerical results (RK4) for the two-dimensional case.
| | | 3 Terms | 5 Terms | 7 Terms | Numerical (RK4) |
| –1.5 | 0.2 | 0.332883 | 0.333591 | 0.333617 | 0.333618 | 0.4 | 0.623190 | 0.624315 | 0.624358 | 0.624358 | 0.6 | 0.838219 | 0.839284 | 0.839324 | 0.839325 | 0.8 | 0.962441 | 0.962961 | 0.962983 | 0.962984 |
| –0.5 | 0.2 | 0.305436 | 0.305543 | 0.305545 | 0.305545 | 0.4 | 0.582314 | 0.582468 | 0.582470 | 0.582470 | 0.6 | 0.804271 | 0.804390 | 0.804392 | 0.804392 | 0.8 | 0.949065 | 0.949107 | 0.949108 | 0.949108 |
| 0.5 | 0.2 | 0.288347 | 0.288261 | 0.288260 | 0.288260 | 0.4 | 0.556268 | 0.556145 | 0.556143 | 0.556143 | 0.6 | 0.781768 | 0.781670 | 0.781671 | 0.781671 | 0.8 | 0.939674 | 0.939641 | 0.939640 | 0.939640 |
| 1.5 | 0.2 | 0.276526 | 0.276433 | 0.276432 | 0.276432 | 0.4 | 0.537929 | 0.537754 | 0.537752 | 0.537752 | 0.6 | 0.765463 | 0.765252 | 0.765249 | 0.765249 | 0.8 | 0.932607 | 0.932474 | 0.932471 | 0.932471 |
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