Table 3 Numerical results of Nusselt number when \(S_1=S_2=0.5, \beta _1=0.02, \beta _{2}= 0.03, \tau = 0.4\) with boundary condition \(\theta ^{\prime }(0)=0\).

From: Dissipated electroosmotic EMHD hybrid nanofluid flow through the micro-channel

Ha

S

K

Br

\(\phi _{1}\)

\(\phi _{2}\)

\(\tau _{1}\)

\(Cu~ \& ~Ag\)

\(SWCNT~ \& ~MWCNT\)

0.3

1.0

0.4

0.01

0.01

0.02

0.4

  

0.4

      

0.7286004

0.7397778

0.5

      

0.6566385

0.6666179

0.6

      

0.6015530

0.6106293

 

0.5

     

1.0603663

1.0773339

 

0.7

     

0.9517140

0.9667369

 

0.9

     

0.8632592

0.8767337

  

0.5

    

0.7619095

0.7736484

  

0.6

    

0.6968497

0.7074959

  

0.7

    

0.6329730

0.6425629

   

0.1

   

0.8235783

0.8363727

   

0.5

   

0.8176499

0.8303616

   

1.0

   

0.8103583

0.8229682

    

0.02

  

0.8415514

0.8579361

    

0.04

  

0.8764943

0.9007912

    

0.06

  

0.9139335

0.9473335

     

0.03

 

0.8395900

0.8578369

     

0.05

 

0.8702421

0.9004450

     

0.07

 

0.9028292

0.9466622

      

0.5

0.7291958

0.7403832

      

0.6

0.6533756

0.6633011

      

0.7

0.5918380

0.6007563