Effect of nonhomogeneous nanofluid model on transient natural convection in a non-Darcy porous cavity containing an inner solid body

Ammar I. Alsabery, Muneer A. Ismael, Ali J. Chamkha, Ishak Hashim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Transient natural convection of an alumina-water nanofluid saturated in non-Darcy porous media is investigated in this paper. The domain of the nanofluid is an annulus composed from a square cavity confining a solid conductive body. The nanoparticles are assumed to be slipping in the base fluid according to Buongiorno model. The Brinkman-Forchheimer-extended Darcy formulation has been adopted for the porous medium. The dimensionless governing equations are solved by implementing the finite difference method. In this study, a special focus is given on the following model parameters; porosity of the porous medium, Darcy number and the nanoparticles average volume fraction. The results show that the nanoparticles possess high uniformity in the base fluid and the Nusselt number augments with increasing values of the Darcy number. The porosity increases the average Nusselt number at a higher Darcy number while its influence remains negligible at a low Darcy number. For the given porosity, there is a critical value of the nanoparticles volume fraction when the average Nusselt number is maximal.

Original languageEnglish
Article number104442
JournalInternational Communications in Heat and Mass Transfer
Volume110
DOIs
Publication statusPublished - Jan 2020

Fingerprint

Natural convection
free convection
Nusselt number
Nanoparticles
Porous materials
nanoparticles
cavities
Porosity
porosity
Volume fraction
Fluids
Aluminum Oxide
fluids
annuli
Finite difference method
confining
Alumina
aluminum oxides
formulations
Water

Keywords

  • Inner solid body
  • Non-Darcy (Forchheimer) model
  • Porous medium
  • Thermophoresis and Brownian
  • Transient convection
  • Two-phase nanofluid model

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Chemical Engineering(all)
  • Condensed Matter Physics

Cite this

Effect of nonhomogeneous nanofluid model on transient natural convection in a non-Darcy porous cavity containing an inner solid body. / Alsabery, Ammar I.; Ismael, Muneer A.; Chamkha, Ali J.; Hashim, Ishak.

In: International Communications in Heat and Mass Transfer, Vol. 110, 104442, 01.2020.

Research output: Contribution to journalArticle

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AU - Chamkha, Ali J.

AU - Hashim, Ishak

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AB - Transient natural convection of an alumina-water nanofluid saturated in non-Darcy porous media is investigated in this paper. The domain of the nanofluid is an annulus composed from a square cavity confining a solid conductive body. The nanoparticles are assumed to be slipping in the base fluid according to Buongiorno model. The Brinkman-Forchheimer-extended Darcy formulation has been adopted for the porous medium. The dimensionless governing equations are solved by implementing the finite difference method. In this study, a special focus is given on the following model parameters; porosity of the porous medium, Darcy number and the nanoparticles average volume fraction. The results show that the nanoparticles possess high uniformity in the base fluid and the Nusselt number augments with increasing values of the Darcy number. The porosity increases the average Nusselt number at a higher Darcy number while its influence remains negligible at a low Darcy number. For the given porosity, there is a critical value of the nanoparticles volume fraction when the average Nusselt number is maximal.

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KW - Two-phase nanofluid model

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