Analysis of fluid-solid interaction in MHD natural convection in a square cavity equally partitioned by a vertical flexible membrane

This paper investigates numerically the problem of unsteady natural convection inside a square cavity partitioned by a flexible impermeable membrane. The finite element method with the arbitrary Lagrangian-Eulerian (ALE) technique has been used to model the interaction of the fluid and the membrane....

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2017-02, Vol.424, p.161-173
Main Authors: Mehryan, S.A.M., Ghalambaz, Mohammad, Ismael, Muneer A., Chamkha, Ali J.
Format: Article
Language:English
Subjects:
Adiabatic flow
Arbitrary Lagrangian- Eulerian
Convection
Eyelets
Finite element analysis
Finite element method
Flexible membrane
Hartmann number
Heat transfer
Magnetic field
Magnetic fields
Magnetohydrodynamics
Mathematical models
Natural convection
Rayleigh number
Square cavity
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Summary:This paper investigates numerically the problem of unsteady natural convection inside a square cavity partitioned by a flexible impermeable membrane. The finite element method with the arbitrary Lagrangian-Eulerian (ALE) technique has been used to model the interaction of the fluid and the membrane. The horizontal walls of the cavity are kept adiabatic while the vertical walls are kept isothermal at different temperatures. A uniform magnetic field is applied onto the cavity with different orientations. The cavity has been provided by two eyelets to compensate volume changes due the movement of the flexible membrane. A parametric study is carried out for the pertinent parameters, which are the Rayleigh number (105–108), Hartmann number (0–200) and the orientation of the magnetic field (0–180°). The change in the Hartmann number affects the shape of the membrane and the heat transfer in the cavity. The angle of the magnetic field orientation also significantly affects the shape of the membrane and the heat transfer in the cavity. •Magnetohydrodynamics heat transfer in a partitioned cavity is studied.•There is a flexible membrane in the cavity.•The membrane is modeled using fluid-solid structure interaction.•A moving grid formulation based on ALE is adopted.•The effect of the magnetic field on the natural convection heat transfer is examined.
ISSN:0304-8853
1873-4766
DOI:10.1016/j.jmmm.2016.09.123