Effect of local thermal non-equilibrium model on natural convection in a nanofluid-filled wavy-walled porous cavity containing inner solid cylinder

Ammar I. Alsabery, Rasul Mohebbi, Ali J. Chamkha, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In the current work, the impacts of local thermal non-equilibrium model and Al 2 O 3 -water nanofluid on natural convection heat transfer in a porous cavity consisting of a bottom heated wavy wall and an inner solid cylinder are investigated. The Galerkin weighted residual finite element method is utilized to simulate the dimensionless governing equations of the fluid flow and heat transfer. The effects of different parameters including Darcy number (10 -6 ⩽Da⩽10 -2 ), nanoparticle volume fraction (0⩽ϕ≤0.04), modified conductivity ratio (0.01⩽γ≤1000), number of undulations (1⩽N⩽4) and the porosity of the medium (0.2⩽ε⩽0.8) on the field of the flow and the heat transfer mechanisms are described. The Forchheimer-Brinkman-extended Darcy model along with the Boussinesq approximation are assumed to hold. A comprehensive validation of the present code is obtained by comparing the results with those of previous studies. The results show that all the mentioned parameters have significant impacts on the fluid flow and the temperature distributions. In addition, increasing the thermal conductivity of the nanoparticles leads to an increase in the rate of heat transfer for the nanofluid condition and reaches its maximum value at ϕ=0.04. Considering high values of ε the average Nusselt number increases by the augmentation of ϕ while at low values of the porosity, the average Nusselt number decreases after reaching a peak. The results of this study are very useful for designing a porous heat exchanger.

Original languageEnglish
Pages (from-to)247-263
Number of pages17
JournalChemical Engineering Science
Volume201
DOIs
Publication statusPublished - 29 Jun 2019

Fingerprint

Natural convection
Heat transfer
Nusselt number
Flow of fluids
Porosity
Nanoparticles
Heat exchangers
Volume fraction
Thermal conductivity
Temperature distribution
Finite element method
Hot Temperature
Water

Keywords

  • Forchheimer model
  • Heat transfer mechanism
  • Local thermal non-equilibrium
  • Natural convection
  • Wavy porous cavity

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

Effect of local thermal non-equilibrium model on natural convection in a nanofluid-filled wavy-walled porous cavity containing inner solid cylinder. / Alsabery, Ammar I.; Mohebbi, Rasul; Chamkha, Ali J.; Hashim, Ishak.

In: Chemical Engineering Science, Vol. 201, 29.06.2019, p. 247-263.

Research output: Contribution to journalArticle

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AU - Hashim, Ishak

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AB - In the current work, the impacts of local thermal non-equilibrium model and Al 2 O 3 -water nanofluid on natural convection heat transfer in a porous cavity consisting of a bottom heated wavy wall and an inner solid cylinder are investigated. The Galerkin weighted residual finite element method is utilized to simulate the dimensionless governing equations of the fluid flow and heat transfer. The effects of different parameters including Darcy number (10 -6 ⩽Da⩽10 -2 ), nanoparticle volume fraction (0⩽ϕ≤0.04), modified conductivity ratio (0.01⩽γ≤1000), number of undulations (1⩽N⩽4) and the porosity of the medium (0.2⩽ε⩽0.8) on the field of the flow and the heat transfer mechanisms are described. The Forchheimer-Brinkman-extended Darcy model along with the Boussinesq approximation are assumed to hold. A comprehensive validation of the present code is obtained by comparing the results with those of previous studies. The results show that all the mentioned parameters have significant impacts on the fluid flow and the temperature distributions. In addition, increasing the thermal conductivity of the nanoparticles leads to an increase in the rate of heat transfer for the nanofluid condition and reaches its maximum value at ϕ=0.04. Considering high values of ε the average Nusselt number increases by the augmentation of ϕ while at low values of the porosity, the average Nusselt number decreases after reaching a peak. The results of this study are very useful for designing a porous heat exchanger.

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