Table 5 Values of \(C_{f} Re_{x}^{1/2}\) and \(Nu_{x} Re_{x}^{ - 1/2}\) for \(P_{r} = 6450\).

From: Thermal growth in solar water pump using Prandtl–Eyring hybrid nanofluid: a solar energy application

\(\alpha^{*}\)

\(\beta^{*}\)

\(K\)

\(\phi\)

\(\phi_{Ms}\)

\({\Lambda }_{L}\)

\(S\)

\(N_{L}\)

\(G_{L}\)

\(E_{L}\)

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

Cu–EO

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

MoS2–Cu/

EO

\(Nu_{x} Re_{x}^{{\frac{ - 1}{2}}}\)

Cu–EO

\(Nu_{x} Re_{x}^{{\frac{ - 1}{2}}}\)

MoS2–Cu/EO

Relative %\(\frac{{Nu_{{\left( {Ms - Cu/EO} \right) - Nu_{{\left( {Cu} \right)}} }} }}{{Nu_{{\left( {Ms - Cu/EO} \right)}} }}\)

1.0

0.4

0.1

0.18

0.09

0.3

0.4

0.3

0.3

0.3

4.3045

5.1062

3.7097

3.8554

3.7%

1.4

         

4.3320

5.1316

3.7363

3.8903

3.9%

1.7

         

4.3517

5.1601

3.7523

3.9245

4.3%

 

0.4

        

4.3045

5.1062

3.7097

3.8554

3.7%

 

0.6

        

4.2825

5.0988

3.6712

3.8320

4.1%

 

0.8

        

4.2571

5.0221

3.6542

3.8163

4.2%

  

0.1

       

4.3045

5.1062

3.7097

3.8554

3.7%

  

0.6

       

4.3390

5.1336

3.7215

3.8871

4.2%

  

1.6

       

4.3551

5.1754

3.7563

3.9282

4.3%

   

0.09

      

4.2436

3.6484

   

0.15

      

4.2809

3.6796

3.6%

   

0.18

      

4.3045

3.7097

3.7%

    

0.0

     

4.2436

3.6484

    

0.06

     

5.0926

3.8207

3.6%

    

0.09

     

5.1062

3.8554

3.7%

     

0.1

    

4.3534

5.1288

3.7616

3.8954

3.4%

     

0.2

    

4.3382

5.1163

3.7325

3.8711

3.5%

     

0.3

    

4.3045

5.1062

3.7097

3.8554

3.7%

      

0.2

   

4.2715

5.0958

3.6752

3.8235

3.8%

      

0.4

   

4.3045

5.1062

3.7097

3.8554

3.7%

      

0.6

   

4.3260

5.1266

3.7235

3.8831

4.1%

       

0.1

  

4.3045

5.1062

3.6831

3.8167

3.5%

       

0.3

  

4.3045

5.1062

3.7097

3.8554

3.7%

       

0.5

  

4.3045

5.1062

3.7243

3.8895

4.2%

        

0.1

 

4.3045

5.1062

3.6720

3.8040

3.4%

        

0.3

 

4.3045

5.1062

3.7097

3.8554

3.7%

        

0.5

 

4.3045

5.1062

3.7234

3.8959

4.4%

         

0.1

4.3045

5.1062

3.6811

3.8105

3.3%

         

0.3

4.3045

5.1062

3.7097

3.8554

3.7%

         

0.6

4.3045

5.1062

3.7402

3.8978

4.0%