Table 3 Computational values of \(Nu_{x} \text{Re} _{x}^{{ - 0.5}} {\text{ and }}Sh_{x} \text{Re} _{x}^{{ - 0.5}}\) against different estimation of \(\Pr ,Rd,D_{f} ,N_{b} ,S_{c} ,\delta ,S_{r} {\text{ and }}\delta _{T} .\)

From: Soret–Dufour impact on a three-dimensional Casson nanofluid flow with dust particles and variable characteristics in a permeable media

\(\Pr\)

\(Rd\)

\(D_{f}\)

\(N_{b}\)

\(S_{c}\)

\(\delta\)

\(S_{r}\)

\(\delta _{T}\)

\(Nu_{x} \left( {\text{Re} _{x} } \right)^{{ - 0.5}}\)

\(Sh_{x} \left( {\text{Re} _{x} } \right)^{{ - 0.5}}\)

3

       

0.26287551

0.27159206

5

       

0.28311948

0.26845204

7

       

0.2946139

0.26679483

 

0.3

      

0.24448878

0.27460726

 

0.6

      

0.29656071

0.27649881

 

0.9

      

0.34511853

0.27805908

  

0.3

     

0.22529783

0.39278698

  

0.5

     

0.20025387

0.39816084

  

0.7

     

0.17477315

0.40337968

   

0.2

    

0.24141581

0.27734281

   

0.5

    

0.23190415

0.27863757

   

0.7

    

0.2253281

0.27953848

    

0.6

   

0.20919744

0.49599463

    

0.8

   

0.19513655

0.58476006

    

1.2

   

0.17110717

0.73964817

     

0.4

  

0.23334648

0.34198783

     

0.6

  

0.22529783

0.39540692

     

0.8

  

0.21795961

0.44369725

      

0.4

 

0.17026475

0.42250068

      

0.6

 

0.17169455

0.41714266

      

0.8

 

0.17319573

0.41215419

       

0.3

0.22529789

0.42526637

       

0.6

0.25082223

0.41921075

       

0.9

0.26650763

0.41543192

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