CVFEM for magnetic nanofluid convective heat transfer in a porous curved enclosure

The influence of a magnetic field on the nanofluid hydrothermal behavior in a porous curved enclosure is examined. A constant heat flux condition is considered for the inner wall. A new numerical approach is applied, namely the Control Volume-based Finite Element Method (CVFEM). Impacts of Darcy (Da) , Rayleigh (Ra) , Hartmann (Ha) numbers and volume fraction of Fe3O4 (ϕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \phi$\end{document}) on the hydrothermal treatment are graphically depicted in figures. Results reveal that the thermal boundary thickness increases with increasing Ha while it decreases with increasing Ra , ϕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \phi$\end{document} , Da . Nanofluid motion decreases with increasing the Hartmann number but it increases with increasing the Darcy number. At low Darcy and high Hartmann numbers, impact of adding Fe3O4 is more effective.