Table 6 Values of \({C}_{f}R{e}_{x}^{1/2}\) and \({Nu}_{x}R{e}_{x}^{-1/2}\) for \({P}_{\varsigma }=6450\).

From: The improved thermal efficiency of Prandtl–Eyring hybrid nanofluid via classical Keller box technique

\(A_{1}^{*}\)

\(A_{2}^{*}\)

\(K_{\varsigma }\)

\(\phi\)

\(\phi_{MT}\)

\({\Lambda }_{\varsigma }\)

\(S\)

\(N_{\varsigma }\)

\(\varepsilon_{\varsigma }\)

\(H_{\varsigma }\)

\(C_{f} Re_{x}^{\frac{1}{2}}\) SWCNT-EO

\(C_{f} Re_{x}^{\frac{1}{2}}\) MWCNT-SWCNT/EO

\(N_{u} Re_{x}^{{\frac{ - 1}{2}}}\) SWCNT-EO

\(N_{u} Re_{x}^{{\frac{ - 1}{2}}}\) MWCNT-SWCNT/EO

1.0

0.4

0.1

0.18

0.09

0.3

0.4

0.3

0.2

0.3

4.7980

5.4521

2.5615

3.0496

1.4

         

4.8262

5.4884

2.5974

3.0727

1.7

         

4.8561

5.5173

2.6299

3.1092

 

0.4

        

4.7980

5.4521

2.5615

3.0496

 

0.6

        

4.7629

5.4264

2.5426

3.0138

 

0.8

        

4.7487

5.3933

2.5273

3.0095

  

0.1

       

4.7980

5.4521

2.5615

3.0496

  

0.6

       

4.8113

5.4816

2.5381

3.0230

  

1.6

       

4.8335

5.5250

2.5045

3.0045

   

0.09

      

4.7372

2.5126

   

0.15

      

4.7543

2.5458

   

0.18

      

4.7980

2.5615

    

0.0

     

4.7372

2.5126

    

0.06

     

5.4377

3.0123

    

0.09

     

5.4521

3.0496

     

0.1

    

4.8626

5.5143

2.6083

3.0911

     

0.2

    

4.8397

5.4916

2.5851

3.0648

     

0.3

    

4.7980

5.4521

2.5615

3.0496

      

0.2

   

4.7647

5.4305

2.5229

3.0092

      

0.4

   

4.7980

5.4521

2.5615

3.0496

      

0.6

   

4.8131

5.4845

2.5882

3.0675

       

0.1

  

4.7980

5.4521

2.5237

3.0282

       

0.3

  

4.7980

5.4521

2.5615

3.0496

       

0.5

  

4.7980

5.4521

2.5925

3.0755

        

0.1

 

4.7980

5.4521

2.5949

3.0754

        

0.2

 

4.7980

5.4521

2.5615

3.0496

        

0.3

 

4.7980

5.4521

2.5337

3.0042

         

0.1

4.7980

5.4521

2.5359

3.0148

         

0.3

4.7980

5.4521

2.5615

3.0496

         

0.5

4.7980

5.4521

2.5979

3.0636