Magnetohydrodynamic natural convection and entropy generation analyses inside a nanofluid-filled incinerator-shaped poro

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Magnetohydrodynamic natural convection and entropy generation analyses inside a nanofluid‑filled incinerator‑shaped porous cavity with wavy heater block M. Hashemi‑Tilehnoee1   · A. S. Dogonchi1 · Seyyed Masoud Seyyedi1 · Ali J. Chamkha2,3 · D. D. Ganji4 Received: 8 November 2019 / Accepted: 17 December 2019 © Akadémiai Kiadó, Budapest, Hungary 2020

Abstract The aim of the current study is natural convection analysis conjugated with entropy generation analysis in an incinerator shaped permeable enclosure loaded with A ­ l2O3–H2O nanofluid subjected to the magnetic field with a rectangular wavy heater block positioned on the bottom of the cavity wall. The bottom and top horizontal walls are adiabatic; the inclined and vertical walls are thought to be cooled. Firstly, the governing expressions and standard k–ε turbulence model are rewritten from dimensional form to non-dimensional form using dimensionless parameters such as vorticity and stream function. In the next step, the equation of entropy generation is written in dimensionless form. Then, the system of non-dimensional governing equations is solved by the finite volume method (FVM) conjugated with a non-dimensionalization scheme using ANSYS Fluent. Fine grids (wall y+