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Theory and Modern Applications

Table 4 Results obtained by the proposed technique for the velocity profile \((f^{\prime })\) of problem 1 due to variations in Re

From: Application of Legendre polynomials based neural networks for the analysis of heat and mass transfer of a non-Newtonian fluid in a porous channel

η

Case I

Case II

Case III

Case IV

0.0

6.68E−07

4.59E−05

0.00103824

0.00341237

0.1

0.56893208

0.59887542

0.62781236

0.65561053

0.2

1.00359069

1.04800095

1.08884222

1.12493157

0.3

1.30374113

1.34691966

1.38348182

1.41118835

0.4

1.47083591

1.49913556

1.51812202

1.52501439

0.5

1.50835831

1.51274313

1.50675218

1.48783267

0.6

1.42186482

1.40001299

1.36933399

1.32802523

0.7

1.21873821

1.17616017

1.12879211

1.07548473

0.8

0.90771235

0.85768852

0.80779612

0.75695887

0.9

0.49826668

0.46077349

0.42633829

0.39358994

1.0

4.36E−07

5.75E−05

0.00058448

0.00064297