Table 5 The numerical values of the local mass flux for various controlling parameters.

From: Forced convection flow of water conveying AA7072 and AA7075 alloys-nanomaterials on variable thickness object experiencing Dufour and Soret effects

\(\phi_{1} ,\phi_{2}\)

\(Le\)

\(Sr\)

\(- 2\sqrt a S^{\prime}(a)\)

Upper branch solution

Lower branch solution

0.022

1.0

0.4

1.2385102

0.5949004

0.026

  

1.2386749

0.5869906

0.030

  

1.2388286

0.5788070

0.034

  

1.2389674

0.5703574

 

0.07

 

1.2450814

1.1160845

 

0.085

 

1.2638713

1.1138856

 

0.15

 

1.3193222

1.0941010

 

0.35

 

1.3658232

0.9803581

  

0.1

1.2220998

0.5404720

  

0.3

1.2963302

0.6500407

  

0.5

1.3907395

0.7532280

  

0.7

1.5092073

0.8466337