Effects of two-phase nanofluid model on natural convection in a square cavity in the presence of an adiabatic inner block and magnetic field

Ammar I. Alsabery, Tahar Tayebi, Ali J. Chamkha, Ishak Hashim

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Purpose: The purpose of this paper is to study problem of conjugate MHD natural convection of Al2O3-water nanofluid in a square cavity with conductive inner block using Buongiorno’s two-phase model numerically. Design/methodology/approach: An isothermal heater is placed on the left wall of the square cavity, while the right wall is maintained at a constant cold temperature. The horizontal top and bottom walls are kept adiabatic. The boundaries of the annulus are assumed to be impermeable, the fluid within the cavity is a water-based nanofluid having Al2O3 nanoparticles. The Boussinesq approximation is applicable. The governing equations subject to the boundary conditions are solved using the finite difference method. Findings: Numerical results are presented graphically in the form of streamlines, isotherms and nanoparticles distributions as well as the local and average Nusselt numbers. The results show that the effect of the nanoparticles addition on the average Nusselt number is essential for low Rayleigh, high Hartmann and high values of length ratio when attenuated the convective flow. Originality/value: According to exist studies and to the authors’ best knowledge, so far, there have been no studies of conjugate natural convection of Al2O3-water nanofluid in a square cavity with a conductive inner block using Buongiorno’s two-phase model with the effect of the magnetic field. Thus, the authors believe that this work is new and valuable. The aim of this study is to investigate the MHD natural convection of Al2O3-water nanofluid in a square cavity with conductive inner block using Buongiorno’s two-phase model.

Original languageEnglish
Pages (from-to)1613-1647
Number of pages35
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume28
Issue number7
DOIs
Publication statusPublished - 2 Jul 2018

Fingerprint

Nanofluid
Natural Convection
Natural convection
Cavity
Magnetic Field
Magnetic fields
Nanoparticles
Water
Magnetohydrodynamics
Nusselt number
Boussinesq Approximation
Finite difference method
Model
Isotherms
Streamlines
Ring or annulus
Rayleigh
Difference Method
Boundary conditions
Design Methodology

Keywords

  • Brownian
  • Buongiorno model
  • Conductive inner block
  • Magneto-hydrodynamics
  • Natural convection
  • Thermophoresis

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

Effects of two-phase nanofluid model on natural convection in a square cavity in the presence of an adiabatic inner block and magnetic field. / Alsabery, Ammar I.; Tayebi, Tahar; Chamkha, Ali J.; Hashim, Ishak.

In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 28, No. 7, 02.07.2018, p. 1613-1647.

Research output: Contribution to journalArticle

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