Table 3 Depicts the impact of various pertinent parameters on skin fraction of both SWCNTs and MWCNTs.

From: Free convective trickling over a porous medium of fractional nanofluid with MHD and heat source/sink

\(\alpha\)

\(\beta\)

\(\gamma\)

\(\ddot{\varphi }\)

\(M\)

\(K\)

\(Q\)

\(t\)

\(Cf\left( {SWCNTs} \right)\)

\(Cf\left( {MWCNTs} \right)\)

0.1

0.8

0.1

0.1

1.0

1.0

3.0

5.0

− 4.662746

1.549648

0.5

       

− 3.434001

1.869631

1.0

       

− 2.604781

2.050189

 

0.1

      

− 0.435967

0.482195

 

0.5

      

− 2.355928

0.219670

 

1.0

      

− 6.590257

0.066353

  

0.1

     

− 4.662746

1.549648

  

0.2

     

− 5.332671

1.080838

  

0.3

     

− 5.735339

0.799642

   

0.1

    

− 2.662746

1.549648

   

0.2

    

− 3.404979

− 1.436992

   

0.3

    

− 4.662746

− 16.690364

    

1.0

   

− 4.662746

1.549648

    

2.0

   

0.263420

1.967735

    

3.0

   

0.670602

2.098724

     

1.0

  

− 4.662746

1.549648

     

3.0

  

− 0.670482

2.252515

     

5.0

  

1.927269

3.352975

      

− 10

 

− 0.260109

3.295445

      

0

 

1.401976

1.970553

      

10

 

2.661075

0.870973

       

1

0.843098

0.905405

       

3

− 1.257453

1.467243

       

5

− 4.662746

1.549648

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