Mixed convection of Al2O3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model

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

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

The present paper investigates steady conjugate mixed convection in a double lid-driven square cavity including a solid inner body. The annulus is filled with water-Al2O3 nanofluid based on Buongiorno's two-phase model. The top horizontal wall is maintained at a constant low temperature and moves to the right while the bottom horizontal wall is maintained at a constant high temperature and moves to the left. The governing equations are solved numerically using the finite element method. The governing parameters are the inner solid location (case 1-case 4), the nanoparticles volume fraction (0⩽ϕ⩽0.04), Reynolds number (1⩽Re⩽500), Richardson number (0.01⩽Ri⩽100), the size of the inner solid (0.1⩽D⩽0.7) and thermal conductivity of the inner solid (kw=0.01, 0.045, 0.1, 0.76 and 1.95 W/m °C). The other parameters; Prandtl number, Lewis number, Schmidt number, ratio of Brownian to thermophoretic diffusivity and the normalized temperature parameter are fixed at Pr=4.623,Le=3.5×105,Sc=3.55×104,NBT=1.1 and δ=155, respectively. The results show that the nanofluid strategy in such a cavity has a noticeable augmentation of heat transfer. However, at low Reynolds number, the addition of nanoparticles has an adverse effect on the Nusselt number when the Richardson number is very high. It is also found that a big size solid body can augment heat transfer in the case of high values of both the Reynolds and the Richardson numbers.

Original languageEnglish
Pages (from-to)939-961
Number of pages23
JournalInternational Journal of Heat and Mass Transfer
Volume119
DOIs
Publication statusPublished - 1 Apr 2018

Fingerprint

Mixed convection
Die casting inserts
inserts
convection
Richardson number
cavities
Water
water
Reynolds number
heat transfer
Nanoparticles
Heat transfer
Schmidt number
Lewis numbers
nanoparticles
annuli
Prandtl number
low Reynolds number
Nusselt number
Temperature

Keywords

  • Brownian
  • Buongiorno model
  • Double lid-driven
  • Mixed convection
  • Square cavity
  • Thermophoresis

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Mixed convection of Al2O3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model. / Alsabery, Ammar I.; Ismael, Muneer A.; Chamkha, Ali J.; Hashim, Ishak.

In: International Journal of Heat and Mass Transfer, Vol. 119, 01.04.2018, p. 939-961.

Research output: Contribution to journalArticle

@article{17289bd65fa7451fbfd14c8b936107f9,
title = "Mixed convection of Al2O3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model",
abstract = "The present paper investigates steady conjugate mixed convection in a double lid-driven square cavity including a solid inner body. The annulus is filled with water-Al2O3 nanofluid based on Buongiorno's two-phase model. The top horizontal wall is maintained at a constant low temperature and moves to the right while the bottom horizontal wall is maintained at a constant high temperature and moves to the left. The governing equations are solved numerically using the finite element method. The governing parameters are the inner solid location (case 1-case 4), the nanoparticles volume fraction (0⩽ϕ⩽0.04), Reynolds number (1⩽Re⩽500), Richardson number (0.01⩽Ri⩽100), the size of the inner solid (0.1⩽D⩽0.7) and thermal conductivity of the inner solid (kw=0.01, 0.045, 0.1, 0.76 and 1.95 W/m °C). The other parameters; Prandtl number, Lewis number, Schmidt number, ratio of Brownian to thermophoretic diffusivity and the normalized temperature parameter are fixed at Pr=4.623,Le=3.5×105,Sc=3.55×104,NBT=1.1 and δ=155, respectively. The results show that the nanofluid strategy in such a cavity has a noticeable augmentation of heat transfer. However, at low Reynolds number, the addition of nanoparticles has an adverse effect on the Nusselt number when the Richardson number is very high. It is also found that a big size solid body can augment heat transfer in the case of high values of both the Reynolds and the Richardson numbers.",
keywords = "Brownian, Buongiorno model, Double lid-driven, Mixed convection, Square cavity, Thermophoresis",
author = "Alsabery, {Ammar I.} and Ismael, {Muneer A.} and Chamkha, {Ali J.} and Ishak Hashim",
year = "2018",
month = "4",
day = "1",
doi = "10.1016/j.ijheatmasstransfer.2017.11.136",
language = "English",
volume = "119",
pages = "939--961",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Mixed convection of Al2O3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model

AU - Alsabery, Ammar I.

AU - Ismael, Muneer A.

AU - Chamkha, Ali J.

AU - Hashim, Ishak

PY - 2018/4/1

Y1 - 2018/4/1

N2 - The present paper investigates steady conjugate mixed convection in a double lid-driven square cavity including a solid inner body. The annulus is filled with water-Al2O3 nanofluid based on Buongiorno's two-phase model. The top horizontal wall is maintained at a constant low temperature and moves to the right while the bottom horizontal wall is maintained at a constant high temperature and moves to the left. The governing equations are solved numerically using the finite element method. The governing parameters are the inner solid location (case 1-case 4), the nanoparticles volume fraction (0⩽ϕ⩽0.04), Reynolds number (1⩽Re⩽500), Richardson number (0.01⩽Ri⩽100), the size of the inner solid (0.1⩽D⩽0.7) and thermal conductivity of the inner solid (kw=0.01, 0.045, 0.1, 0.76 and 1.95 W/m °C). The other parameters; Prandtl number, Lewis number, Schmidt number, ratio of Brownian to thermophoretic diffusivity and the normalized temperature parameter are fixed at Pr=4.623,Le=3.5×105,Sc=3.55×104,NBT=1.1 and δ=155, respectively. The results show that the nanofluid strategy in such a cavity has a noticeable augmentation of heat transfer. However, at low Reynolds number, the addition of nanoparticles has an adverse effect on the Nusselt number when the Richardson number is very high. It is also found that a big size solid body can augment heat transfer in the case of high values of both the Reynolds and the Richardson numbers.

AB - The present paper investigates steady conjugate mixed convection in a double lid-driven square cavity including a solid inner body. The annulus is filled with water-Al2O3 nanofluid based on Buongiorno's two-phase model. The top horizontal wall is maintained at a constant low temperature and moves to the right while the bottom horizontal wall is maintained at a constant high temperature and moves to the left. The governing equations are solved numerically using the finite element method. The governing parameters are the inner solid location (case 1-case 4), the nanoparticles volume fraction (0⩽ϕ⩽0.04), Reynolds number (1⩽Re⩽500), Richardson number (0.01⩽Ri⩽100), the size of the inner solid (0.1⩽D⩽0.7) and thermal conductivity of the inner solid (kw=0.01, 0.045, 0.1, 0.76 and 1.95 W/m °C). The other parameters; Prandtl number, Lewis number, Schmidt number, ratio of Brownian to thermophoretic diffusivity and the normalized temperature parameter are fixed at Pr=4.623,Le=3.5×105,Sc=3.55×104,NBT=1.1 and δ=155, respectively. The results show that the nanofluid strategy in such a cavity has a noticeable augmentation of heat transfer. However, at low Reynolds number, the addition of nanoparticles has an adverse effect on the Nusselt number when the Richardson number is very high. It is also found that a big size solid body can augment heat transfer in the case of high values of both the Reynolds and the Richardson numbers.

KW - Brownian

KW - Buongiorno model

KW - Double lid-driven

KW - Mixed convection

KW - Square cavity

KW - Thermophoresis

UR - http://www.scopus.com/inward/record.url?scp=85037657241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037657241&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2017.11.136

DO - 10.1016/j.ijheatmasstransfer.2017.11.136

M3 - Article

AN - SCOPUS:85037657241

VL - 119

SP - 939

EP - 961

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

ER -