Table 3 Temperature field analysis for shape effect for P/water nanofluid, P-GO/water hybrid nanofluid and P-GO/water hybrid nanofluid keeping \(M = 10,m = 0.1,Q = 0.3,\beta = 0.2,\) \(\gamma = 0.3,\varphi = 0.1,B_{r} = 0.4\) for divergent channel.

From: Irreversibility effects in peristaltic transport of hybrid nanomaterial in the presence of heat absorption

X

Shape m0

0.0

0.3

0.6

0.9

1.125

Water

\(\begin{gathered} \varphi_{P} = 0 \hfill \\ \varphi_{GO} = 0 \hfill \\ \end{gathered}\)

m0 = 3, 3.7, 4.9, 5.7, 8.6

6.56023

6.24171

5.28675

3.70739

2.18297

P-nanofluid

\(\begin{gathered} \varphi_{P} = 0.1 \hfill \\ \varphi_{GO} = 0.0 \hfill \\ \end{gathered}\)

m0 = 3

6.42579

6.10915

5.16125

3.60606

2.1245

m0 = 3.7

6.3915

6.07655

5.13371

3.58682

2.11317

m0 = 4.9

6.35943

6.04606

5.10795

3.56882

2.10256

m0 = 5.7

6.34663

6.03389

5.09767

3.56164

2.09833

m0 = 8.6

6.32202

6.01049

5.0779

3.54783

2.09019

P-G0 hybrid

\(\begin{gathered} \varphi_{P} = 0.1 \hfill \\ \varphi_{GO} = 0.05 \hfill \\ \end{gathered}\)

m0 = 3

5.3463

5.08079

4.28694

2.99075

1.7628

m0 = 3.7

5.1539

4.89795

4.13267

2.88313

1.69936

m0 = 4.9

4.8708

4.62891

3.90566

2.72476

1.60602

m0 = 5.7

4.70873

4.47013

3.77169

2.6313

1.55093

m0 = 8.6

4.19385

3.99558

3.36285

2.34607

1.38281

P-G0 hybrid

\(\begin{gathered} \varphi_{P} = 0.1 \hfill \\ \varphi_{GO} = 0.1 \hfill \\ \end{gathered}\)

m0 = 3

4.47643

4.25211

3.58262

2.49593

1.47206

m0 = 3.7

4.2073

3.99647

3.36723

2.34587

1.38356

m0 = 4.9

3.8251

3.63343

3.06135

2.13277

1.25788

m0 = 5.7

3.6098

3.42898

2.8909

2.01276

1.1871

m0 = 8.6

3.00412

2.85395

2.40429

1.67501

0.9879