Table 1 Comparison with Aouadi3 at \(\:R={N}_{R}={k}_{r}=0\), \(\:\:\text{P}\text{r}=0.7\), \(\:\text{E}\text{c}=0.02\), \(\:\text{S}\text{c}=0.22\), and \(\:\:s=1\:\)for different values of \(\:M\).

From: Heat and mass transfer of micropolar fluid flow over a stretching sheet by legendre collocation method

 

\(\:\varvec{M}\)

FEM

Aouadi [3]

ChFDM

Aouadi [3]

Exact

Aouadi [3]

Present result

\(\:\left(\varvec{n}=22\right)\)

\(\:-{\varvec{f}}^{\varvec{{\prime\:}}\varvec{{\prime\:}}}\left(0\right)\)

0

1.000483

1.000483

1.000000

0.999993

0.5

1.224742

1.224712

1.224776

1.224690

1

1.414121

1.412166

1.412130

1.414020

1.5

1.581141

1.581139

1.581138

1.580640

2

1.732057

1.732051

1.732050

1.731020

\(\:-{\varvec{g}}^{\varvec{{\prime\:}}}\left(0\right)\)

0

1.000483

1.000483

1.000000

0.999993

0.5

1.152392

1.152356

1.152361

1.152320

1

1.261628

1.261668

1.261666

1.261380

1.5

1.344946

1.344967

1.344930

1.344110

2

1.410726

1.410746

1.410784

1.409160

\(\:-{\varvec{\theta\:}}^{\varvec{{\prime\:}}}\left(0\right)\)

0

1.064153

1.064234

1.064288

1.063910

0.5

0.996628

0.996642

0.996632

0.995865

1

0.940419

0.940473

0.940490

0.939382

1.5

0.892573

0.892538

0.892505

0.891092

2

0.850795

0.850738

0.850732

0.849048

\(\:-{\varvec{\varphi\:}}^{\varvec{{\prime\:}}}\left(0\right)\)

0

0.183578

0.183545

0.183412

0.183435

0.5

0.157972

0.157949

0.157976

0.158092

1

0.140844

0.140867

0.140851

0.141129

1.5

0.128322

0.128382

0.128312

0.128805

2

0.118620

0.118633

0.118619

0.119362

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