MHD Flow of Hybrid Nanofluid Between Convergent/Divergent Channel by Using Daftardar-Jafari Method

Alloys AA7072\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$AA7072$$\end{document} and AA7075\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$AA7075$$\end{document} are significant with thermal, physical, and mechanical characteristics; these are extensively used in manufacturing of spacecraft, aircraft parts. and bio nanoscience applications. The main interest of the present work is numerical and analytical investigation of heat transfer in MHD Jeffery-Hamel flow of a hybrid nanofluid with nanoparticle shapes (i.e., spherical, cylinder, and platelet) and mixture base fluid (H2O-C2H6O2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H}_{2}O-{C}_{2}{H}_{6}{O}_{2}$$\end{document} (50%-50%\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$50\%-50\%$$\end{document})). Hybrid nanofluid containing alloys AA7072\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$AA7072$$\end{document} and AA7075\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$AA7075$$\end{document} as the nanoparticles is considered. The solution of the studied problem has been presented using a new analytical method (Daftardar-Jafari method). The obtained results in particular cases are compared to those gained by the HAM-based Mathematica package BVPh 2 and by the Runge-Kutta-Fehlberg 4th-5th order (RKF-45) for validation. The effect of diverse parameters for instance is as follows: external magnetic field Ha is an element of 0-500\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Ha\in \left[0-500\right]$$\end{document}, Reynolds number Re is an element of 50-150\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Re\in \left[50-150\right]$$\end{document}, opening of the channel alpha is an element of +/- 2 degrees-+/- 6 degrees\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha \in \left[\pm 2<^>\circ -\pm 6<^>\circ \right]$$\end{document}, hybrid nanoparticles phi AA7072+AA7075 is an element of 0-6%\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varphi }_{AA7072+AA7075}\in \left[0-6\%\right]$$\end{document}, Hartmann number Ha is an element of 0-150\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Ha\in \left[0-150\right]$$\end{document}, and nanoparticle shapes (i.e., spherical, cylinder, and platelet) on dimensionless velocity and temperature profiles, as well as on the behavior of skin friction coefficient and Nusselt number. The results indicate that the skin friction coefficient and Nusselt numbers decrease with the increasing nanoparticle shapes. In addition, the study's findings were found to be in exceptional agreement with existing literature results.