Research Article
Analytical Solution of Fractional Oldroyd-B Fluid via Fluctuating Duct
Table 3
Comparison of analytical and numerical solution for velocity profile of
oscillation.
| | | | | | Velocity (analytical) | Velocity (Stehfest’s) | Velocity (Tzou’s) |
| 0.3 | | | | | 1.10340 | 1.09977 | 1.05517 | 0.6 | | | | | 1.16489 | 1.16141 | 1.11978 | 0.9 | | | | | 1.11031 | 1.10694 | 1.06528 | | 0.1 | | | | 1.11259 | 1.10913 | 1.07161 | | 1 | | | | 1.1023 | 1.09865 | 1.05327 | | 5 | | | | 1.09359 | 1.08982 | 1.03876 | | | 0.1 | | | 1.77775 | 1.77494 | 1.68597 | | | 0.3 | | | 1.26878 | 1.26496 | 1.19361 | | | 0.5 | | | 1.09359 | 1.08982 | 1.03876 | | | | 0.1 | | 1.1023 | 1.09865 | 1.05327 | | | | 0.5 | | 1.1172 | 1.11542 | 0.92388 | | | | 0.9 | | 1.2042 | 1.20333 | 1.23378 | | | | | 0.2 | 1.03804 | 1.04065 | 0.98972 | | | | | 0.5 | 1.08693 | 1.0851 | 0.88743 | | | | | 0.7 | 1.10415 | 1.09827 | 0.95289 |
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