Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model

S. A.M. Mehryan, Mohsen Izadi, Mikhail A. Sheremet

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    Abstract

    This work aims to study the conjugate natural convection of micropolar nanofluid within a porous enclosure considering local thermal non-equilibrium model. The Galerkin finite element method is employed to solve the coupled and non-linear equations. The governing parameters are Darcy–Rayleigh number Ra = 10–1000, porosity ε = 0.1–0.9, interface parameter H = 1–1000, Kr = 0.1–10, volume fraction of the nanofluid φnf = 0–0.08, vortex viscosity parameter Δ = 0–3, the width of the solid wall d = 0.1–0.4 and ratio of wall thermal conductivity to that of the base fluid Rk = 0.1–10. It has been revealed that the power of micro-rotations increases with Darcy–Rayleigh number, vortex viscosity parameter, ratio of wall thermal conduction to that of base fluid, interface parameter (Kr and H) in conditions that declines with thickness of the solid wall and porosity. The Nusselt numbers for both phases in the porous medium significantly decline as thickness of the solid wall rises, with the exception of d = 0.35. Also, it can be concluded as the porosity parameter increases for the passing flow, the nanofluid flow is governed by the classic Navier-Stokes equations.

    LanguageEnglish
    Pages353-368
    Number of pages16
    JournalJournal of Molecular Liquids
    Volume250
    DOIs
    Publication statusPublished - 1 Jan 2018

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    enclosure
    Enclosures
    Natural convection
    free convection
    Porosity
    Vortex flow
    Viscosity
    Fluids
    Rayleigh number
    Nusselt number
    porosity
    Nonlinear equations
    Navier Stokes equations
    Porous materials
    Volume fraction
    Thermal conductivity
    vortices
    viscosity
    Finite element method
    fluids

    Keywords

    • Conjugate natural convection
    • Local thermal non-equilibrium model
    • Micropolar nanofluid
    • Numerical results
    • Porous square cavity

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Atomic and Molecular Physics, and Optics
    • Condensed Matter Physics
    • Spectroscopy
    • Physical and Theoretical Chemistry
    • Materials Chemistry

    Cite this

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    abstract = "This work aims to study the conjugate natural convection of micropolar nanofluid within a porous enclosure considering local thermal non-equilibrium model. The Galerkin finite element method is employed to solve the coupled and non-linear equations. The governing parameters are Darcy–Rayleigh number Ra = 10–1000, porosity ε = 0.1–0.9, interface parameter H = 1–1000, Kr = 0.1–10, volume fraction of the nanofluid φnf = 0–0.08, vortex viscosity parameter Δ = 0–3, the width of the solid wall d = 0.1–0.4 and ratio of wall thermal conductivity to that of the base fluid Rk = 0.1–10. It has been revealed that the power of micro-rotations increases with Darcy–Rayleigh number, vortex viscosity parameter, ratio of wall thermal conduction to that of base fluid, interface parameter (Kr and H) in conditions that declines with thickness of the solid wall and porosity. The Nusselt numbers for both phases in the porous medium significantly decline as thickness of the solid wall rises, with the exception of d = 0.35. Also, it can be concluded as the porosity parameter increases for the passing flow, the nanofluid flow is governed by the classic Navier-Stokes equations.",
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