Table 3 Parametrization of data for Atangana-Baleanu steam turbine model within Laplace domain.
\(\:t\) | \(\:{P}_{0}\) | \(\:{F}_{0}\) | \(\:{\alpha\:}_{3}\) | \(\:{\beta\:}_{3}\) | \(\:{}_{3}{}^{AB}G\left(t\right)\) | \(\:{}_{3}{}^{AB}H\left(t\right)\) | Enhancement/Reduction | |
|---|---|---|---|---|---|---|---|---|
5 | 0.5 | 3 | 0.89 | 0.89 | 22.43888 | 9.99948 | --- | --- |
10 | 0.5 | 3 | 0.89 | 0.89 | 16.78352 | 6.99971 | 25.2033 | 29.9992 |
15 | 0.5 | 3 | 0.89 | 0.89 | 14.74652 | 4.99980 | 12.1369 | 28.5340 |
20 | 0.5 | 3 | 0.89 | 0.89 | 13.68159 | 2.99984 | 7.22156 | 40.0004 |
25 | 0.5 | 3 | 0.89 | 0.89 | 13.02214 | 0.99987 | 4.81998 | 66.6692 |
\(\:{}_{3}{}^{AB}G\left(t\right)=22.715-0.438\:t,\:{}_{3}{}^{AB}H\left(t\right)11.799-\:0.44\:t\) | Â | Â | ||||||
5 | 0.5 | 3 | 0.89 | 0.89 | 13.10756 | 1.97164 | --- | --- |
5 | 1.0 | 3 | 0.89 | 0.89 | 15.44039 | 5.92037 | -17.7975 | -200.27 |
5 | 1.5 | 3 | 0.89 | 0.89 | 17.77322 | 11.87425 | -15.1086 | -100.56 |
5 | 2.0 | 3 | 0.89 | 0.89 | 20.10605 | 16.83252 | -13.1255 | -41.756 |
5 | 2.5 | 3 | 0.89 | 0.89 | 24.77171 | 22.79460 | -23.2052 | -35.420 |
\(\:{}_{3}{}^{AB}G\left(t\right)=9.841{P}_{0}+5.598\:{P}_{0},{}_{3}{}^{AB}H\left(t\right)=-3.88+10.511{P}_{0}\) | Â | Â | ||||||
5 | 0.5 | 3 | 0.89 | 0.89 | 20.08599 | 7.74829 | --- | --- |
5 | 0.5 | 6 | 0.89 | 0.89 | 16.89096 | 6.24796 | 15.9067 | 19.3633 |
5 | 0.5 | 9 | 0.89 | 0.89 | 14.57289 | 4.74762 | 13.7237 | 24.0132 |
5 | 0.5 | 12 | 0.89 | 0.89 | 12.81428 | 3.24728 | 12.0676 | 31.6019 |
5 | 0.5 | 15 | 0.89 | 0.89 | 11.43442 | 1.74694 | 10.7684 | 46.2029 |
\(\:{}_{3}{}^{AB}G\left(t\right)=21.573-0.712{F}_{0},\:{}_{3}{}^{AB}H\left(t\right)=9.248-0.500{F}_{0}\) | Â | Â | ||||||
