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

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The problem of darcian natural convection in inclined square cavity partially filled between the centralsquare hole filled with fluid and inside a square porous cavity filled with nanofluid is numericallystudied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperatureTh and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontalwalls are adiabatic. The governing equations are obtained by applying the Darcy model andBoussinesq approximation. COMSOL's finite element method is used to solve the non-dimensionalgoverning equations together with the specified boundary c onditions. The governing parameters ofthis study are the Rayleigh number (103≤Ra≤107), the Darcy number (10-5≤Da≤10-3), thefluid layer thickness (0.4≤S≤0.8) and the inclination angle of the cavity (0°≤ω≤6 0°). Theresults for the values of the governing parameters in terms of the streamlines, isotherms and averageNusselt number will be presented. The convection is shown to be inhibited by the presence of thehole 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 poroussystems.

Original languageEnglish
Pages (from-to)1763-1775
Number of pages13
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number4
Publication statusPublished - 2016

Fingerprint

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

Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

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abstract = "The problem of darcian natural convection in inclined square cavity partially filled between the centralsquare hole filled with fluid and inside a square porous cavity filled with nanofluid is numericallystudied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperatureTh and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontalwalls are adiabatic. The governing equations are obtained by applying the Darcy model andBoussinesq approximation. COMSOL's finite element method is used to solve the non-dimensionalgoverning equations together with the specified boundary c onditions. The governing parameters ofthis study are the Rayleigh number (103≤Ra≤107), the Darcy number (10-5≤Da≤10-3), thefluid layer thickness (0.4≤S≤0.8) and the inclination angle of the cavity (0°≤ω≤6 0°). Theresults for the values of the governing parameters in terms of the streamlines, isotherms and averageNusselt number will be presented. The convection is shown to be inhibited by the presence of thehole 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 poroussystems.",
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T1 - Darcian natural convection in inclined square cavity partially filled between the central square hole filledwith a fluid and inside a square porous cavity filledwith nanofluid

AU - Alsabery, A. I.

AU - Saleh, H.

AU - Hashim, Ishak

AU - Hussain, S. H.

PY - 2016

Y1 - 2016

N2 - The problem of darcian natural convection in inclined square cavity partially filled between the centralsquare hole filled with fluid and inside a square porous cavity filled with nanofluid is numericallystudied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperatureTh and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontalwalls are adiabatic. The governing equations are obtained by applying the Darcy model andBoussinesq approximation. COMSOL's finite element method is used to solve the non-dimensionalgoverning equations together with the specified boundary c onditions. The governing parameters ofthis study are the Rayleigh number (103≤Ra≤107), the Darcy number (10-5≤Da≤10-3), thefluid layer thickness (0.4≤S≤0.8) and the inclination angle of the cavity (0°≤ω≤6 0°). Theresults for the values of the governing parameters in terms of the streamlines, isotherms and averageNusselt number will be presented. The convection is shown to be inhibited by the presence of thehole 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 poroussystems.

AB - The problem of darcian natural convection in inclined square cavity partially filled between the centralsquare hole filled with fluid and inside a square porous cavity filled with nanofluid is numericallystudied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperatureTh and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontalwalls are adiabatic. The governing equations are obtained by applying the Darcy model andBoussinesq approximation. COMSOL's finite element method is used to solve the non-dimensionalgoverning equations together with the specified boundary c onditions. The governing parameters ofthis study are the Rayleigh number (103≤Ra≤107), the Darcy number (10-5≤Da≤10-3), thefluid layer thickness (0.4≤S≤0.8) and the inclination angle of the cavity (0°≤ω≤6 0°). Theresults for the values of the governing parameters in terms of the streamlines, isotherms and averageNusselt number will be presented. The convection is shown to be inhibited by the presence of thehole 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 poroussystems.

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