Effects of nonhomogeneous nanofluid model on convective heat transfer in partially heated square cavity with conducting solid block

A. I. Alsabery, M. H. Yazdi, A. A. Altawallbeh, Ishak Hashim

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4 Citations (Scopus)

Abstract

In this study, the conjugate natural convection in a square cavity filled with Al 2O 3–water nanofluid with an inner conducting solid block is studied numerically using nonhomogeneous Buongiorno’s two-phase model. The left wall of the cavity is partially heated and the remaining parts of the wall are adiabatic, while the right wall is fully cooled. The top and bottom horizontal walls are adiabatic. The numerical simulations are based on the finite difference method. The results are simulated for various values of the nanoparticle volume fraction (0 ≤ ϕ≤ 0.04) , Rayleigh number (10 2≤ Ra≤ 10 6) , thermal conductivity of the conjugate square (kw= 0.28 , 0.76 , 1.95 , 7.0) and 16.0 (epoxy_ 0.28, brickwork: 0.76, granite: 1.95, solid rock: 7, stainless steel: 16), the size of the inner solid (0 ≤ D≤ 0.7) , and the length of the heater (0.1 ≤ H≤ 1.0). The numerical results for the average and local Nusselt numbers, isotherms, distribution of nanoparticles, and streamlines are presented graphically. The findings indicate that increasing the average solid volume fraction and the size of the solid block as well as the thermal conductivity will enhance the rate of the heat transfer at low values of Rayleigh number Ra= 10 3. On the other hand, increasing these parameters at high values of Rayleigh number (Ra> 10 5) decreases the average Nusselt number.

Original languageEnglish
JournalJournal of Thermal Analysis and Calorimetry
DOIs
Publication statusAccepted/In press - 1 Jan 2018

Fingerprint

convective heat transfer
Heat transfer
conduction
Rayleigh number
cavities
Nusselt number
Volume fraction
Thermal conductivity
thermal conductivity
Nanoparticles
nanoparticles
Stainless Steel
granite
Natural convection
heaters
Finite difference method
free convection
Isotherms
stainless steels
isotherms

Keywords

  • Brownian motion
  • Conjugate natural convection
  • Nanoparticle distribution
  • Partially heating
  • Square cavity
  • Thermophoresis effect

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

Cite this

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title = "Effects of nonhomogeneous nanofluid model on convective heat transfer in partially heated square cavity with conducting solid block",
abstract = "In this study, the conjugate natural convection in a square cavity filled with Al 2O 3–water nanofluid with an inner conducting solid block is studied numerically using nonhomogeneous Buongiorno’s two-phase model. The left wall of the cavity is partially heated and the remaining parts of the wall are adiabatic, while the right wall is fully cooled. The top and bottom horizontal walls are adiabatic. The numerical simulations are based on the finite difference method. The results are simulated for various values of the nanoparticle volume fraction (0 ≤ ϕ≤ 0.04) , Rayleigh number (10 2≤ Ra≤ 10 6) , thermal conductivity of the conjugate square (kw= 0.28 , 0.76 , 1.95 , 7.0) and 16.0 (epoxy_ 0.28, brickwork: 0.76, granite: 1.95, solid rock: 7, stainless steel: 16), the size of the inner solid (0 ≤ D≤ 0.7) , and the length of the heater (0.1 ≤ H≤ 1.0). The numerical results for the average and local Nusselt numbers, isotherms, distribution of nanoparticles, and streamlines are presented graphically. The findings indicate that increasing the average solid volume fraction and the size of the solid block as well as the thermal conductivity will enhance the rate of the heat transfer at low values of Rayleigh number Ra= 10 3. On the other hand, increasing these parameters at high values of Rayleigh number (Ra> 10 5) decreases the average Nusselt number.",
keywords = "Brownian motion, Conjugate natural convection, Nanoparticle distribution, Partially heating, Square cavity, Thermophoresis effect",
author = "Alsabery, {A. I.} and Yazdi, {M. H.} and Altawallbeh, {A. A.} and Ishak Hashim",
year = "2018",
month = "1",
day = "1",
doi = "10.1007/s10973-018-7789-3",
language = "English",
journal = "Journal of Thermal Analysis and Calorimetry",
issn = "1388-6150",
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TY - JOUR

T1 - Effects of nonhomogeneous nanofluid model on convective heat transfer in partially heated square cavity with conducting solid block

AU - Alsabery, A. I.

AU - Yazdi, M. H.

AU - Altawallbeh, A. A.

AU - Hashim, Ishak

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this study, the conjugate natural convection in a square cavity filled with Al 2O 3–water nanofluid with an inner conducting solid block is studied numerically using nonhomogeneous Buongiorno’s two-phase model. The left wall of the cavity is partially heated and the remaining parts of the wall are adiabatic, while the right wall is fully cooled. The top and bottom horizontal walls are adiabatic. The numerical simulations are based on the finite difference method. The results are simulated for various values of the nanoparticle volume fraction (0 ≤ ϕ≤ 0.04) , Rayleigh number (10 2≤ Ra≤ 10 6) , thermal conductivity of the conjugate square (kw= 0.28 , 0.76 , 1.95 , 7.0) and 16.0 (epoxy_ 0.28, brickwork: 0.76, granite: 1.95, solid rock: 7, stainless steel: 16), the size of the inner solid (0 ≤ D≤ 0.7) , and the length of the heater (0.1 ≤ H≤ 1.0). The numerical results for the average and local Nusselt numbers, isotherms, distribution of nanoparticles, and streamlines are presented graphically. The findings indicate that increasing the average solid volume fraction and the size of the solid block as well as the thermal conductivity will enhance the rate of the heat transfer at low values of Rayleigh number Ra= 10 3. On the other hand, increasing these parameters at high values of Rayleigh number (Ra> 10 5) decreases the average Nusselt number.

AB - In this study, the conjugate natural convection in a square cavity filled with Al 2O 3–water nanofluid with an inner conducting solid block is studied numerically using nonhomogeneous Buongiorno’s two-phase model. The left wall of the cavity is partially heated and the remaining parts of the wall are adiabatic, while the right wall is fully cooled. The top and bottom horizontal walls are adiabatic. The numerical simulations are based on the finite difference method. The results are simulated for various values of the nanoparticle volume fraction (0 ≤ ϕ≤ 0.04) , Rayleigh number (10 2≤ Ra≤ 10 6) , thermal conductivity of the conjugate square (kw= 0.28 , 0.76 , 1.95 , 7.0) and 16.0 (epoxy_ 0.28, brickwork: 0.76, granite: 1.95, solid rock: 7, stainless steel: 16), the size of the inner solid (0 ≤ D≤ 0.7) , and the length of the heater (0.1 ≤ H≤ 1.0). The numerical results for the average and local Nusselt numbers, isotherms, distribution of nanoparticles, and streamlines are presented graphically. The findings indicate that increasing the average solid volume fraction and the size of the solid block as well as the thermal conductivity will enhance the rate of the heat transfer at low values of Rayleigh number Ra= 10 3. On the other hand, increasing these parameters at high values of Rayleigh number (Ra> 10 5) decreases the average Nusselt number.

KW - Brownian motion

KW - Conjugate natural convection

KW - Nanoparticle distribution

KW - Partially heating

KW - Square cavity

KW - Thermophoresis effect

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