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Table 3 Values of −f(0) and −θ(0) for various A, B, and φ with \( \gamma =\frac{\pi }{3},\Pr =6.785,\lambda =0.5,\mathrm{and}\ S=M={f}_w=0.1 \)

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

A

B

φ

f(0)

θ(0)

Cu

Ag

Al2O3

TiO2

Cu

Ag

Al2O3

TiO2

− 0.5

− 0.5

0.05

1.13901

1.17511

1.02053

1.02853

3.47169

3.45867

3.45288

3.50071

  

0.15

1.26227

1.33798

1.00119

1.02005

2.84113

2.81764

2.78241

2.90208

 

0.0

0.05

1.13772

1.17374

1.01947

1.0275

3.37271

3.3534

3.37184

3.41978

  

0.15

1.26009

1.33549

0.999799

1.0188

2.69323

2.6504

2.68589

2.80694

 

0.5

0.05

1.13637

1.17229

1.01838

1.02645

3.27066

3.24457

3.2888

3.33687

  

0.15

1.25767

1.33261

0.998347

1.0175

2.53558

2.4697

2.5857

2.70841

0.0

− 0.5

0.05

1.12971

1.16571

1.01175

1.0199

3.27349

3.25111

3.2836

3.33095

  

0.15

1.25236

1.32806

0.992261

1.0116

2.59005

2.54533

2.54533

2.71881

 

0.0

0.05

1.12769

1.16356

1.01013

1.01833

3.16522

3.13552

3.19592

3.24342

  

0.15

1.24869

1.32384

0.989996

1.00957

2.42212

2.35369

2.49284

2.614

 

0.5

0.05

1.12549

1.16119

1.0084

1.01665

3.05233

3.01454

3.10533

3.15306

  

0.15

1.24412

1.31831

0.987451

1.0073

2.23725

2.13799

2.38041

2.50385

0.5

− 0.5

0.05

1.12028

1.15619

1.00285

1.01116

3.07389

3.04207

3.1132

3.1601

  

0.15

1.24223

1.31792

0.983153

1.003

2.33646

2.27023

2.41486

2.53408

 

0.0

0.05

1.11753

1.15325

1.00065

1.00903

2.95612

2.91593

3.01872

3.06584

  

0.15

1.23698

1.31188

0.979972

1.00014

2.14762

2.05304

2.29781

2.41928

 

0.5

0.05

1.11447

1.14996

0.998258

1.00671

2.83218

2.78256

2.92044

2.96785

  

0.15

1.23015

1.30354

0.97628

0.996866

1.93409

1.80031

2.17266

2.29711