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

Research output: Contribution to journalArticle

22 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)353-368
Number of pages16
JournalJournal of Molecular Liquids
Volume250
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

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

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

@article{2bbe44f38cca44a3a3ba20b754561f2d,
title = "Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model",
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.",
keywords = "Conjugate natural convection, Local thermal non-equilibrium model, Micropolar nanofluid, Numerical results, Porous square cavity",
author = "Mehryan, {S. A.M.} and Mohsen Izadi and Sheremet, {Mikhail A.}",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.molliq.2017.11.177",
language = "English",
volume = "250",
pages = "353--368",
journal = "Journal of Molecular Liquids",
issn = "0167-7322",
publisher = "Elsevier",

}

TY - JOUR

T1 - Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model

AU - Mehryan, S. A.M.

AU - Izadi, Mohsen

AU - Sheremet, Mikhail A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Conjugate natural convection

KW - Local thermal non-equilibrium model

KW - Micropolar nanofluid

KW - Numerical results

KW - Porous square cavity

UR - http://www.scopus.com/inward/record.url?scp=85037701190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037701190&partnerID=8YFLogxK

U2 - 10.1016/j.molliq.2017.11.177

DO - 10.1016/j.molliq.2017.11.177

M3 - Article

VL - 250

SP - 353

EP - 368

JO - Journal of Molecular Liquids

JF - Journal of Molecular Liquids

SN - 0167-7322

ER -