Applied heat transfer modeling in conventional hybrid (Al<sub>2</sub>O<sub>3</sub>-CuO)/C<sub>2</sub>H<sub>6</sub>O<sub>2</sub> and modified-hybrid nanofluids (Al<sub>2</sub>O<sub>3</sub>-CuO-Fe<sub>3</sub>O<sub>4</sub>)/C<sub>2</sub>H<sub>6</sub>O<sub>2</sub> between slippery channel by using least square method (LSM)

In this research, a new heat transfer model for ternary nanofluid (Al₂O₃-CuO-Fe₃O₄)/C₂H₆O₂ inside slippery converging/diverging channel is reported with innovative effects of dissipation function. This flow situation described by a coupled set of PDEs which reduced to ODEs via similarity and effective ternary nanofluid properties. Then, LSM is successfully coded for the model and achieved the desired results influenced by \begin{document}$ \alpha ,Re,{\gamma }_{1} $\end{document} and \begin{document}$ Ec $\end{document}. It is examined that the fluid movement increases for \begin{document}$ Re $\end{document} in the physical range of 30–180 and it drops for diverging channel (\begin{document}$ \alpha > 0 $\end{document}) when the slippery wall approaches to \begin{document}$ \alpha = {60}^{o} $\end{document}. The fluid movement is very slow for increasing concentration factor \begin{document}$ {\varphi }_{i} $\end{document} for \begin{document}$ i = \mathrm{1,2},3 $\end{document} up to 10%. Further, ternary nanofluid temperature boosts rapidly due to inclusion of trinanoparticles thermal conductivity and dissipation factor (\begin{document}$ Ec = \mathrm{0.1,0.2,0.3,0.4,0.6} $\end{document}) also contributes significantly. Moreover, the temperature is maximum about the center of the channel (\begin{document}$ \eta = 0 $\end{document}) and slip effects (\begin{document}$ {\gamma }_{1} = \mathrm{0.1,0.2,0.3,0.4,0.5,0.6} $\end{document}) on the channel walls lead to decrement in the temperature \begin{document}$ \beta \left(\eta \right) $\end{document}.