Research Article
Symplectic Exact Solution for Stokes Flow in the Thin Film Coating Applications
Table 1
Comparison calculated results at the two moving end walls with that in Reference [
10] (superscript*);
,
.
| | | | | | | | | |
| | 0.0 | 200 | 0.0 | 1.9968* | 1.3323 × 10−15 | 0.0 | 0.0 | 0.9984* | −1.0333 × 10−16 | | 50 | 0.0 | 1.9873* | 1.3323 × 10−15 | 0.0 | 0.0 | 0.9936* | −1.0333 × 10−16 |
| | 0.2 | 200 | 1.9892 | 1.9967* | −2.2204 × 10−16 | 1.9530 × 10−16 | 0.9946 | 0.9983* | −1.9723 × 10−15 | | 50 | 1.9568 | 1.9866* | −2.2204 × 10−16 | 1.8865 × 10−16 | 0.9784 | 0.9933* | −1.9723 × 10−15 |
| | 0.4 | 200 | 1.9933 | 1.9961* | 2.2204 × 10−16 | 1.8596 × 10−16 | 0.9967 | 0.9980* | −7.0408 × 10−16 | | 50 | 1.9732 | 1.9843* | 2.2204 × 10−16 | 1.7981 × 10−16 | 0.9866 | 0.9921* | −7.0408 × 10−16 |
| | 0.6 | 200 | 1.9933 | 1.9946* | −2.2204 × 10−16 | 1.8596 × 10−16 | 0.9967 | 0.9973* | 7.0408 × 10−16 | | 50 | 1.9732 | 1.9783* | −2.2204 × 10−16 | 1.7981 × 10−16 | 0.9866 | 0.9892* | 7.0408 × 10−16 |
| | 0.8 | 200 | 1.9892 | 1.9897* | 2.2204 × 10−16 | 1.9530 × 10−16 | 0.9946 | 0.9949* | 1.9723 × 10−15 | | 50 | 1.9568 | 1.9589* | 2.2204 × 10−16 | 1.8865 × 10−16 | 0.9784 | 0.9794* | 1.9723 × 10−15 |
| | 1.0 | 200 | 3.2826 × 10−14 | 3.2244 × 10−14* | −1.3323 × 10−15 |
0.0 | 1.6413 × 10−14 | 1.6122 × 10−14* | 1.0333 × 10−16 | | 50 | 9.0049 × 10−15 | 8.0239 × 10−15* | −1.3323 × 10−15 | 0.0 | 4.5024 × 10−15 | 4.0119 × 10−15* | 1.0333 × 10−16 |
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