Darcian natural convection in inclined square cavity partially filled between the central square hole filled with a fluid and inside a square porous cavity filled with nanofluid

A. I. Alsabery, H. Saleh, Ishak Hashim, S. H. Hussain

Research output: Contribution to journalArticle

Abstract

The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 107), the Darcy number (10-5 ≤ Da ≤ 10-3), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

Original languageEnglish
Pages (from-to)1763
Number of pages1
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number6
DOIs
Publication statusPublished - 1 Jan 2016

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Natural convection
free convection
inserts
cavities
Fluids
fluids
convection
Boussinesq approximation
heat storage
Heat storage
Rayleigh number
Nusselt number
inclination
Isotherms
finite element method
isotherms
Thermodynamic properties
thermodynamic properties
Finite element method
heat

Keywords

  • Darcy model
  • Interface
  • Nanofluid
  • Natural convection
  • Square cavity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Darcian natural convection in inclined square cavity partially filled between the central square hole filled with a fluid and inside a square porous cavity filled with nanofluid",
abstract = "The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 107), the Darcy number (10-5 ≤ Da ≤ 10-3), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.",
keywords = "Darcy model, Interface, Nanofluid, Natural convection, Square cavity",
author = "Alsabery, {A. I.} and H. Saleh and Ishak Hashim and Hussain, {S. H.}",
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AU - Alsabery, A. I.

AU - Saleh, H.

AU - Hashim, Ishak

AU - Hussain, S. H.

PY - 2016/1/1

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N2 - The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 107), the Darcy number (10-5 ≤ Da ≤ 10-3), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

AB - The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 107), the Darcy number (10-5 ≤ Da ≤ 10-3), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

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