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Table 1 Comparison of the reduced Nusselt number \(\pmb{-\theta'(0)}\) and Sherwood number \(\pmb{-\phi'(0)}\) with Noghrehabadi et al. [ 27 ] for \(\pmb{Nc=1}\) , \(\pmb{Nr=3}\) , \(\pmb{\delta_{1}=1}\) , \(\pmb{Le=Pr=10}\) . (a)  \(\pmb{\delta_{3}=\delta_{4}=\lambda=\gamma= Ln=Sr = K_{p}=0}\) and (b) \(\pmb{\delta_{3}=\delta_{4}=\lambda=0}\) , \(\pmb{Ln=1}\) , \(\pmb{Sr=0.5}\) , \(\pmb{K_{p}=0.5}\)

From: Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces

\(\boldsymbol {\delta_{2}}\)

Nb

Nt

Noghrehabadi et al. [ 27 ]

Present (a)

Present (b)

Nur

Shr

Nur

Shr

Nur

Shr

0.0

0.1

0.1

0.952377

2.129394

0.95237683

2.12939377

1.00058819

2.66004285

0.3

0.520079

2.528638

0.52007905

2.52863816

0.54419785

3.46549450

0.5

0.321054

3.035142

0.32105433

3.03514247

0.31586598

4.38704894

0.2

0.1

0.505581

2.381871

0.50558141

2.38187064

0.54400672

2.85986019

0.3

0.273096

2.655459

0.27309580

2.65545946

0.28254157

3.33932740

0.5

0.168077

2.888339

0.16807658

2.88833918

0.16127263

3.75314398

0.3

0.1

0.252156

2.410019

0.25215609

2.41001880

0.27177120

2.86844013

0.3

0.135514

2.608819

0.13551419

2.60881871

0.13604735

3.19990440

0.5

0.083298

2.751875

0.08329860

2.75187540

0.07566950

3.45202615

1.0

0.1

0.1

2.751875

1.607430

0.71892800

1.60743180

1.14988755

3.00376688

0.3

0.392596

1.908809

0.39259606

1.90881247

0.63804840

3.78822390

0.5

0.242357

2.291156

0.24235674

2.29116127

0.37823785

4.77292460

0.2

0.1

0.381652

1.798019

0.38165211

1.79802095

0.63400147

3.28337188

0.3

0.206154

2.004545

0.20615392

2.00454704

0.33706394

3.78349666

0.5

0.126877

2.180339

0.12687726

2.18034274

0.19696830

4.23378793

10.0

0.1

0.1

0.412468

0.922099

0.41247939

0.92225151

1.20480363

3.13488626

0.3

0.225245

1.094883

0.22524897

1.09516618

0.67291837

3.91228460

0.5

0.139050

1.314098

0.13905033

1.31453566

0.40123365

4.91834227

0.2

0.1

0.218955

1.031454

0.21896995

1.03160059

0.66701497

3.44165247

0.3

0.118275

1.149881

0.11827923

1.15009326

0.35709376

3.94942212

0.5

1.204555

1.250672

0.07279486

1.25095500

0.21002703

4.41174227

0.3

0.1

0.109199

1.043650

0.10921014

1.04379192

0.33770638

3.47832715

0.3

0.058689

1.129708

0.05869191

1.12989321

0.17488396

3.84292518

0.5

0.036078

1.191622

0.03607706

1.19185182

0.10098316

4.12849783