Table 5 Validation of present work with published work.

From: Significance of induced hybridized metallic and non-metallic nanoparticles in single-phase nano liquid flow between permeable disks by analyzing shape factor

\(\alpha \)

\(f{^{\prime}}{^{\prime}}(-1)\), Kashif et al.49

Present work

\({\theta }^{{\prime}}\left(-1\right)\), Kashif et al.50

Present work

− 5

3.6501

3.6505

7.6396

7.6399

− 3

2.9411

2.9416

3.9055

3.9950

− 1

2.3737

2.3736

2.0733

2.0365

0

2.1374

2.1375

1.5333

1.5336

1

1.9289

1.9299

1.1459

1.1461

3

1.5840

1.5845

0.6607

0.6617

5

1.3169

1.3260

0.3975

0.3985