Natural convective heat transfer through two entrapped triangular cavities filled with a nanofluid: Buongiorno's mathematical model

M. A. Sheremet, C. Revnic, I. Pop

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Free convection of water based nanofluid inside two entrapped triangular cavities under the effects of Brownian diffusion and thermophoresis is numerically studied. The bottom and upper walls of the cavities are kept at high constant temperature while the rest walls are kept at low constant temperature. Dimensionless governing equations formulated using stream function, vorticity, temperature and nanoparticles volume fraction have been solved by finite difference method of the second order accuracy. The effects of the Rayleigh number, Lewis number and buoyancy-ratio parameter on fluid flow, heat and mass transfer have been analyzed. It has been found that, taking into account the used temperature boundary conditions, the bottom triangular cavity is more sensitive to changes of the Rayleigh number and buoyancy-ratio parameter, while the upper cavity is not so sensitive to changes of these parameters. In addition, an increase in the Rayleigh number and buoyancy-ratio parameter reflects non-uniform distributions of nanoparticles inside cavities.

Original languageEnglish
Pages (from-to)484-494
Number of pages11
JournalInternational Journal of Mechanical Sciences
Volume133
DOIs
Publication statusPublished - 1 Nov 2017

Fingerprint

convective heat transfer
mathematical models
Buoyancy
Mathematical models
Heat transfer
Rayleigh number
cavities
buoyancy
Thermophoresis
Nanoparticles
Temperature
thermophoresis
Lewis numbers
Vorticity
nanoparticles
Natural convection
Finite difference method
temperature
Flow of fluids
Volume fraction

Keywords

  • Brownian motion
  • Entrapped triangular cavity
  • Nanofluid
  • Natural convection
  • Numerical results
  • Thermophoresis

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "Free convection of water based nanofluid inside two entrapped triangular cavities under the effects of Brownian diffusion and thermophoresis is numerically studied. The bottom and upper walls of the cavities are kept at high constant temperature while the rest walls are kept at low constant temperature. Dimensionless governing equations formulated using stream function, vorticity, temperature and nanoparticles volume fraction have been solved by finite difference method of the second order accuracy. The effects of the Rayleigh number, Lewis number and buoyancy-ratio parameter on fluid flow, heat and mass transfer have been analyzed. It has been found that, taking into account the used temperature boundary conditions, the bottom triangular cavity is more sensitive to changes of the Rayleigh number and buoyancy-ratio parameter, while the upper cavity is not so sensitive to changes of these parameters. In addition, an increase in the Rayleigh number and buoyancy-ratio parameter reflects non-uniform distributions of nanoparticles inside cavities.",
keywords = "Brownian motion, Entrapped triangular cavity, Nanofluid, Natural convection, Numerical results, Thermophoresis",
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TY - JOUR

T1 - Natural convective heat transfer through two entrapped triangular cavities filled with a nanofluid

T2 - Buongiorno's mathematical model

AU - Sheremet, M. A.

AU - Revnic, C.

AU - Pop, I.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - Free convection of water based nanofluid inside two entrapped triangular cavities under the effects of Brownian diffusion and thermophoresis is numerically studied. The bottom and upper walls of the cavities are kept at high constant temperature while the rest walls are kept at low constant temperature. Dimensionless governing equations formulated using stream function, vorticity, temperature and nanoparticles volume fraction have been solved by finite difference method of the second order accuracy. The effects of the Rayleigh number, Lewis number and buoyancy-ratio parameter on fluid flow, heat and mass transfer have been analyzed. It has been found that, taking into account the used temperature boundary conditions, the bottom triangular cavity is more sensitive to changes of the Rayleigh number and buoyancy-ratio parameter, while the upper cavity is not so sensitive to changes of these parameters. In addition, an increase in the Rayleigh number and buoyancy-ratio parameter reflects non-uniform distributions of nanoparticles inside cavities.

AB - Free convection of water based nanofluid inside two entrapped triangular cavities under the effects of Brownian diffusion and thermophoresis is numerically studied. The bottom and upper walls of the cavities are kept at high constant temperature while the rest walls are kept at low constant temperature. Dimensionless governing equations formulated using stream function, vorticity, temperature and nanoparticles volume fraction have been solved by finite difference method of the second order accuracy. The effects of the Rayleigh number, Lewis number and buoyancy-ratio parameter on fluid flow, heat and mass transfer have been analyzed. It has been found that, taking into account the used temperature boundary conditions, the bottom triangular cavity is more sensitive to changes of the Rayleigh number and buoyancy-ratio parameter, while the upper cavity is not so sensitive to changes of these parameters. In addition, an increase in the Rayleigh number and buoyancy-ratio parameter reflects non-uniform distributions of nanoparticles inside cavities.

KW - Brownian motion

KW - Entrapped triangular cavity

KW - Nanofluid

KW - Natural convection

KW - Numerical results

KW - Thermophoresis

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