Table 1: Poiseuille numbers for elliptical ducts.

Analytical solution [24]Present paperDiscrepancy


0.259.0259.0330.10%
0.508.3378.3400.04%
0.758.0158.0200.07%
1.007.9377.934−0.03%


0.258.2498.3060.69%
0.507.7187.7390.27%
0.757.4677.4780.15%
1.007.4077.4080.01%


0.255.9696.1252.61%
0.505.8035.8610.99%
0.755.7295.7440.26%
1.005.7145.713−0.02%


0.254.4374.6113.94%
0.504.4304.5031.66%
0.754.4374.4590.49%
1.004.4444.4450.00%