Table 2 Represent the solutions of the flow problem utilizing Zakian’s algorithms with \(\hat{G}_{T} = 5,\tilde{R} = 5,\ddot{\varphi } = 0.04,\hat{G}_{C} ,Sc = 0.7,\dddot M = 10,Pr = 25,\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\lambda } }_{1} = 0.5,\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\lambda } }_{2} = 0.3,\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{K} = 5,\tilde{\alpha } = 0.5,\tilde{\beta } = 0.3.\)

From: Comparative study of heat and mass transfer of generalized MHD Oldroyd-B bio-nano fluid in a permeable medium with ramped conditions

\(\tilde{\alpha }\)

\(\tilde{\beta }\)

\(\tilde{R}\)

\(\ddot{\varphi }\)

Zakian’s \(\tilde{\Phi }\) (C)

Zakian’s \(\tilde{\Phi }\) (CF)

Zakian’s \(\tilde{\Phi }\) (AB)

Zakian’s \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\Theta }\)(C)

Zakian’s \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\Theta }\)(CF)

Zakian’s \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\Theta }\)(AB)

Zakian’s \(\tilde{U}^{ * }\)(C)

Zakian’s \(\tilde{U}^{ * }\)(CF)

Zakian’s \(\tilde{U}^{ * }\)(AB)

0.5

0.3

5

.04

0.11289

0.12274

0.14066

0.02837

0.03552

0.04593

0.06086

0.06288

0.07411

0.9

0.3

5

.04

0.06964

0.07421

0.08277

0.00781

0.01150

0.01454

0.02787

0.03087

0.03539

0.5

0.3

5

.04

-

-

-

-

-

-

0.06086

0.06288

0.07411

0.5

0.5

5

.04

-

-

-

-

-

-

0.06097

0.06298

0.07418

0.5

0.3

3

.04

0.07235

0.08183

0.09756

-

-

-

0.04394

0.04694

0.05730

0.5

0.3

5

.04

0.11289

0.12274

0.14066

-

-

-

0.06086

0.06288

0.07411

0.5

0.3

5

.02

0.17587

0.18500

0.20372

-

-

-

0.08719

0.08722

0.09879

0.5

0.3

5

.04

0.11289

0.12274

0.14066

-

-

-

0.06086

0.06288

0.07411

\(\Pr\)

\(Sc\)

\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\lambda } }_{1}\)

\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\lambda } }_{2}\)

Zakian’s \(\tilde{\Phi }\) (C)

Zakian’s \(\tilde{\Phi }\) (CF)

Zakian’s \(\tilde{\Phi }\) (AB)

Zakian’s \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\Theta }\) (C)

Zakian’s \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\Theta }\) (CF)

Zakian’s \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{\Theta }\)(AB)

Zakian’s \(\tilde{U}^{ * }\) (C)

Zakian’s \(\tilde{U}^{ * }\)(CF)

Zakian’s \(\tilde{U}^{ * }\)(AB)

10

0.3

0.5

0.3

0.19718

0.20588

0.22437

-

-

-

0.09612

0.09542

0.10691

25

0.3

0.5

0.3

0.11289

0.12274

0.14066

-

-

-

0.06086

0.06288

0.07411

25

0.3

0.5

0.3

-

-

-

0.07918

0.08880

0.10503

0.08217

0.08364

0.09714

25

0.7

0.5

0.3

-

-

-

0.02837

0.03552

0.04593

0.06086

0.06288

0.07411

25

0.3

0.5

0.3

-

-

-

-

-

-

0.06086

0.06288

0.07411

25

0.3

4

0.3

-

-

-

-

-

-

0.05962

0.06198

0.07330

25

0.3

0.5

0.3

-

-

-

-

-

-

0.06086

0.06288

0.07411

25

0.3

0.5

0.7

-

-

-

-

-

-

0.06155

0.06337

0.07451

\(\hat{G}_{T}\)

\(\hat{G}_{C}\)

\(\dddot M\)

\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{K}\)

Zakian’s \(\tilde{U}^{ * }\) (C)

Zakian’s \(\tilde{U}^{ * }\)(CF)

Zakian’s \(\tilde{U}^{ * }\)(AB)

1

5

10

5

0.02237

0.02414

0.02970

5

5

10

5

0.06086

0.06288

0.07411

5

1

10

5

0.05067

0.05132

0.05924

5

6.5

10

5

0.06468

0.06721

0.07969

5

5

3

5

0.15116

0.12542

0.14741

5

5

10

5

0.06086

0.06288

0.07411

5

5

10

3

0.06036

0.06240

0.07353

5

5

10

5

0.06086

0.06288

0.07411

Back to article page