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Table 2 The effect of the Soret parameter Sr on f"(0), θ'(0) and ϕ'(0) when Gr x = 0.5, Gc x = 2, and Ha x = 1

From: On cross-diffusion effects on flow over a vertical surface using a linearization method

   

ξ= 0.005

  

ξ= 0.01

 
  

SLM results

LNS Method

SLM results

LNS Method

Profile

Sr

M 2 = 2

M 2 = 3

 

M 2 = 2

M 2 = 3

 
 

0.1

1.933303

1.933303

1.933302

1.933303

1.933303

1.933302

 

0.4

1.946426

1.946426

1.946426

1.946426

1.946426

1.946426

f"(0)

0.6

1.959632

1.959632

1.959632

1.959632

1.959632

1.959632

 

1.5

2.023004

2.023004

2.023004

2.023004

2.023004

2.023004

 

2.0

2.059313

2.059313

2.059313

2.059313

2.059313

2.059313

 

0.1

0.368159

0.368159

0.368159

0.368159

0.368159

0.368159

 

0.4

0.396905

0.396905

0.396905

0.396905

0.396905

0.396905

-θ'(0)

0.6

0.402187

0.402187

0.402187

0.402187

0.402187

0.402187

 

1.5

0.416430

0.416430

0.416430

0.416430

0.416430

0.416430

 

2.0

0.422788

0.422788

0.422788

0.422788

0.422788

0.422788

 

0.1

0.213565

0.213565

0.213565

0.213565

0.213565

0.213565

 

0.4

0.197708

0.197708

0.197708

0.197708

0.197708

0.197708

-Ï•'(0)

0.6

0.187601

0.187601

0.187601

0.187601

0.187601

0.187601

 

1.5

0.141063

0.141063

0.141063

0.141063

0.141063

0.141063

 

2.0

0.114262

0.114262

0.114262

0.114262

0.114262

0.114262