Table 5 The impact of \({R}_{e}\), \(\beta\), Ha, \({\upphi }_{1}\),\({\upphi }_{2}\), and \({\upphi }_{3}\) on the SFC and Nusselt number for contraction and expansion case, for \({R}_{0}=1, S=3, {R}_{d}=1, {N}_{1}=1.\)

From: Hall current and morphological effects on MHD micropolar non-Newtonian tri-hybrid nanofluid flow between two parallel surfaces

\({R}_{e}\)

\(\beta\)

Ha

\({\phi }_{1}={\phi }_{2}={\phi }_{3}\)

\({C}_{f-1}\) for contraction case \((\alpha =-0.5)\)

\({N}_{u} \left |_{\eta =-1}\right.\) for contraction case \((\alpha =-0.5)\)

\({C}_{f-1}\) for expansion case \((\alpha =0.5)\)

\({N}_{u} \left |_{\eta =-1}\right.\) for expansion case \((\alpha =0.5)\)

− 2

0.2

1

2%

6.6282

0.1502

6.3339

0.0390

− 0.5

   

26.6857

1.3614

25.4620

0.4405

0.5

   

26.8082

4.0747

25.5529

1.7113

2

   

6.7513

11.2320

6.4257

6.9557

− 0.5

0.2

  

26.6857

1.3614

25.4620

0.4405

 

0.4

  

15.716

1.3505

14.5098

0.4361

 

0.7

  

11.0645

1.3398

9.8495

0.4316

 

1

  

9.2097

1.3328

8.0018

0.4286

  

2

 

26.6029

1.3587

25.3802

0.4397

  

4

 

26.4289

1.3537

25.2070

0.4380

  

6

 

26.2456

1.3488

25.0236

0.4365

− 0.5

0.2

1

3%

23.0584

1.4021

21.9994

0.4669

   

4%

19.8505

1.4434

18.9455

0.4945

   

5%

17.0228

1.4854

16.2587

0.5232

   

6%

14.5389

1.5279

13.9013

0.5531

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