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Table 5 Values of −f''(0) and −θ'(0) for various S, λ and φ with γ = π/3, Pr  = 6.785, A = B = 0.5, M = fw = 0.1

From: Nanofluids flow over a permeable unsteady stretching surface with non-uniform heat source/sink in the presence of inclined magnetic field

S

λ

φ

−f''(0)

−θ'(0)

Cu

Ag

Al2O3

TiO2

Cu

Ag

Al2O3

TiO2

0.0

−0.5

0.2

1.41293

1.49943

1.10995

1.12069

1.29248

1.07747

1.65548

1.81398

0.0

 

1.30072

1.3816

1.01055

1.02874

1.32189

1.11811

1.67487

1.83134

0.5

 

1.19427

1.33082

0.914089

0.939062

1.34751

1.44053

1.69276

1.84759

1.0

−0.5

0.2

1.74632

1.84716

1.37428

1.39378

2.67991

2.54474

2.86331

3.07003

0.0

 

1.68021

1.78341

1.30777

1.33124

2.68307

2.54745

2.86727

3.07384

0.5

 

1.6144

1.71993

1.24161

1.26898

2.68621

2.55013

2.87118

3.0776

2.0

−0.5

0.2

2.0543

2.17411

1.61399

1.63891

3.52483

3.38637

3.67459

3.92463

0.0

 

2.00255

2.12469

1.56063

1.58853

3.52624

3.38755

3.67663

3.92645

0.5

 

1.95088

2.07534

1.50739

1.53826

3.52763

3.38871

3.67833

3.92826

0.0

−0.5

0.0

1.174570

1.174570

1.174570

1.174570

3.12932

3.12932

3.12932

3.12932

0.0

 

1.064010

1.064010

1.064010

1.064010

3.14750

3.14750

3.14750

3.14750

0.5

 

0.955294

0.955294

0.955294

0.955294

3.16495

3.16495

3.16495

3.16495

1.0

−0.5

 

1.453830

1.453830

1.453830

1.453830

4.75737

4.75737

4.75737

4.75737

0.0

 

1.371600

1.371600

1.371600

1.371600

4.76297

4.76297

4.76297

4.76297

0.5

 

1.289750

1.289750

1.289750

1.289750

4.76851

4.76851

4.76851

4.76851

2.0

−0.5

 

1.703550

1.703550

1.703550

1.703550

5.94220

5.94220

5.94220

5.94220

0.0

 

1.635490

1.635490

1.635490

1.635490

5.94506

5.94506

5.94506

5.94506

0.5

 

1.567590

1.567590

1.567590

1.567590

5.94791

5.94791

5.94791

5.94791