Research Article
Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
Table 1
The analytic results of and at different values of series size compared with the numerical results, when
| | | | | | | | | | DTM | HAM | DTM | HAM | DTM | HAM | DTM | HAM | Numerical |
| | 0.2 | 0.012109 | 0.025333 | 0.012829 | 0.015790 | 0.012824 | 0.013583 | 0.012824 | 0.012675 | 0.012824 | 0.4 | 0.043688 | 0.093354 | 0.046554 | 0.057037 | 0.046536 | 0.049058 | 0.046535 | 0.045894 | 0.046535 | 0.6 | 0.088436 | 0.192237 | 0.094802 | 0.115414 | 0.094765 | 0.099494 | 0.094762 | 0.093341 | 0.094762 | 0.8 | 0.14108 | 0.310623 | 0.152095 | 0.18384 | 0.152036 | 0.159107 | 0.152032 | 0.149674 | 0.152032 | 1 | 0.197281 | 0.438095 | 0.213659 | 0.256624 | 0.213582 | 0.223019 | 0.213575 | 0.210237 | 0.213575 |
| | 0.2 | 0.926037 | 0.8692 | 0.927126 | 0.906846 | 0.926989 | 0.913032 | 0.926994 | 0.916605 | 0.926994 | 0.4 | 0.860691 | 0.752533 | 0.863394 | 0.826667 | 0.863116 | 0.837423 | 0.863125 | 0.843679 | 0.863125 | 0.6 | 0.809872 | 0.6612 | 0.814989 | 0.767516 | 0.814561 | 0.780547 | 0.814575 | 0.788272 | 0.814575 | 0.8 | 0.777414 | 0.6032 | 0.785359 | 0.732751 | 0.784778 | 0.746104 | 0.784796 | 0.754295 | 0.784795 | 1 | 0.766044 | 0.583333 | 0.775603 | 0.721816 | 0.774925 | 0.734846 | 0.774945 | 0.743051 | 0.774944 |
| | 0.2 | 0.160806 | 0.199372 | 0.158485 | 0.175442 | 0.158442 | 0.171012 | 0.158444 | 0.168154 | 0.158444 | 0.4 | 0.283364 | 0.355359 | 0.278667 | 0.30897 | 0.27858 | 0.301266 | 0.278584 | 0.296762 | 0.278584 | 0.6 | 0.369227 | 0.465866 | 0.362176 | 0.400584 | 0.362040 | 0.391304 | 0.362047 | 0.386586 | 0.362047 | 0.8 | 0.419793 | 0.5306 | 0.41076 | 0.452406 | 0.410574 | 0.443034 | 0.410583 | 0.438927 | 0.410583 | 1 | 0.436365 | 0.551389 | 0.426452 | 0.468504 | 0.426232 | 0.443034 | 0.426244 | 0.455797 | 0.426243 |
| | 0.2 | 0.046495 | − 0.04397 | 0.044369 | 0.002434 | 0.044329 | 0.016543 | 0.044332 | 0.037467 | 0.044332 | 0.4 | 0.087213 | − 0.07162 | 0.083042 | 0.009616 | 0.082966 | 0.032601 | 0.082971 | 0.070290 | 0.082971 | 0.6 | 0.118325 | − 0.08646 | 0.112294 | 0.017710 | 0.112187 | 0.044910 | 0.112194 | 0.094853 | 0.112194 | 0.8 | 0.137666 | − 0.09219 | 0.130157 | 0.023955 | 0.130029 | 0.052118 | 0.130038 | 0.109565 | 0.130038 | 1 | 0.144217 | − 0.09305 | 0.136051 | 0.026361 | 0.135916 | 0.054308 | 0.135926 | 0.114315 | 0.135925 |
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