Table 1: Poiseuille numbers for elliptical ducts.

Analytical solution [24] Present paper Discrepancy 0.25 9.025 9.033 0.10% 0.50 8.337 8.340 0.04% 0.75 8.015 8.020 0.07% 1.00 7.937 7.934 −0.03% 0.25 8.249 8.306 0.69% 0.50 7.718 7.739 0.27% 0.75 7.467 7.478 0.15% 1.00 7.407 7.408 0.01% 0.25 5.969 6.125 2.61% 0.50 5.803 5.861 0.99% 0.75 5.729 5.744 0.26% 1.00 5.714 5.713 −0.02% 0.25 4.437 4.611 3.94% 0.50 4.430 4.503 1.66% 0.75 4.437 4.459 0.49% 1.00 4.444 4.445 0.00%