Table 2 Comparison of the values of \({C}_{f}{{Re}_{x}}^\frac{1}{2}\) and \({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\) with distinct models of viscosity.

From: Reynolds nano fluid model for Casson fluid flow conveying exponential nanoparticles through a slandering sheet

\(\beta\)

\(n\)

\(\delta\)

Einstein model27

Brinkman Model28

Present Result

\({C}_{f}{{Re}_{x}}^\frac{1}{2}\)

\({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\)

\({C}_{f}{{Re}_{x}}^\frac{1}{2}\)

\({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\)

\({C}_{f}{{Re}_{x}}^\frac{1}{2}\)

\({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\)

0.5

0.5

0.3

− 2.9138

0.79975

− 2.9162

0.79986

− 2.8734

0.79798

1.0

  

− 2.3959

0.77193

− 2.3979

0.77206

− 2.3630

0.76970

1.5

  

− 2.1956

0.75723

− 2.1974

0.75738

− 2.1656

0.75478

 

0.6

 

− 3.0768

0.77462

− 3.0794

0.77473

− 3.0337

0.77281

 

0.9

 

− 3.5203

0.70623

− 3.5233

0.70634

− 3.4700

0.70432

 

1.1

 

− 3.7869

0.66531

− 3.7902

0.66542

− 3.7324

0.66335

  

0.5

− 2.9799

0.83586

− 2.9823

0.83596

− 2.9395

0.83405

  

0.6

− 3.0134

0.85422

− 3.0158

0.85433

− 3.0130

0.85241

  

0.7

− 3.0472

0.87279

− 3.0496

0.87290

− 3.0069

0.87096

  1. Significant values are in bold.