Table 4 Velocity field variation for convergent/uniform/divergent channel effect analysis on P/water nanofluid, P-GO/water hybrid nanofluid keeping \(M = 3,\) \(Q = 0.3,\varphi = 0.1\) values fixed.
Slope effect m | − 0.2 | − 0.1 | 0.0 | 0.1 | 0.2 |
|---|---|---|---|---|---|
Pure water | |||||
\(\begin{gathered} \varphi_{P} = 0.0 \hfill \\ \varphi_{GO} = 0.0 \hfill \\ \end{gathered}\) | |||||
 X = 0.0 | − 0.566022 | − 0.542562 | − 0.520692 | − 0.500277 | − 0.481195 |
 X = 0.3 | − 0.584484 | − 0.560204 | − 0.537463 | − 0.516151 | − 0.496165 |
 X = 0.6 | − 0.65586 | -0.628491 | − 0.602303 | − 0.577522 | − 0.554043 |
 X = 1.095 + 0.3 m | \(\left. { - 1} \right|_{X = 1.03511}\) | \(\left. { - 1} \right|_{X = 1.06511}\) | \(\left. { - 1} \right|_{X = 1.09511}\) | \(\left. { - 1} \right|_{X = 1.12511}\) | \(\left. { - 1} \right|_{X = 1.15511}\) |
P-nanofluid | |||||
\(\begin{gathered} \varphi_{P} = 0.1 \hfill \\ \varphi_{GO} = 0.0 \hfill \\ \end{gathered}\) | |||||
 X = 0.0 | − 0.552875 | − 0.52833 | − 0.50541 | − 0.483979 | − 0.463918 |
 X = 0.3 | − 0.576596 | − 0.551307 | − 0.527553 | − 0.505230 | − 0.484242 |
 X = 0.6 | − 0.660987 | − 0.633049 | − 0.606330 | − 0.588330 | − 0.556547 |
 X = 1.095 + 0.3 m | \(\left. { - 1} \right|_{X = 1.03511}\) | \(\left. { - 1} \right|_{X = 1.06511}\) | \(\left. { - 1} \right|_{X = 1.09511}\) | \(\left. { - 1} \right|_{X = 1.12511}\) | \(\left. { - 1} \right|_{X = 1.15511}\) |
P-G0 hybrid | |||||
\(\begin{gathered} \varphi_{P} = 0.1 \hfill \\ \varphi_{GO} = 0.05 \hfill \\ \end{gathered}\) | |||||
 X = 0.0 | − 0.547894 | − 0.522899 | − 0.499534 | − 0.477668 | − 0.457181 |
 X = 0.3 | − 0.573696 | − 0.548009 | − 0.52385 | − 0.501117 | − 0.479716 |
 X = 0.6 | − 0.660987 | − 0.634934 | − 0.608022 | − 0.582289 | − 0.557728 |
 X = 1.095 + 0.3 m | \(\left. { - 1} \right|_{X = 1.03511}\) | \(\left. { - 1} \right|_{X = 1.06511}\) | \(\left. { - 1} \right|_{X = 1.09511}\) | \(\left. { - 1} \right|_{X = 1.12511}\) | \(\left. { - 1} \right|_{X = 1.15511}\) |
P-G0 hybrid | |||||
\(\begin{gathered} \varphi_{P} = 0.1 \hfill \\ \varphi_{GO} = 0.1 \hfill \\ \end{gathered}\) | |||||
 X = 0.0 | − 0.543201 | − 0.517764 | − 0.493696 | − 0.471657 | − 0.450739 |
 X = 0.3 | − 0.571005 | − 0.544936 | − 0.520385 | − 0.497252 | − 0.475446 |
 X = 0.6 | − 0.664967 | − 0.636765 | − 0.609689 | − 0.583750 | − 0.558946 |
 X = 1.095 + 0.3 m | \(\left. { - 1} \right|_{X = 1.03511}\) | \(\left. { - 1} \right|_{X = 1.06511}\) | \(\left. { - 1} \right|_{X = 1.09511}\) | \(\left. { - 1} \right|_{X = 1.12511}\) | \(\left. { - 1} \right|_{X = 1.15511}\) |
