Impacts of magnetic field and non-homogeneous nanofluid model on convective heat transfer and entropy generation in a cavity with heated trapezoidal body

A. I. Alsabery, R. Mohebbi, A. J. Chamkha, Ishak Hashim

Research output: Contribution to journalArticle

Abstract

A numerical study is made on the entropy generation and magnetohydrodynamics natural convection of Al 2 O 3 -water non-homogeneous nanofluid inside a square enclosure equipped with a heated trapezoidal body. The Galerkin weighted residual finite element method is applied to solve the dimensionless governing equations within the utilized computational domain along with the algorithm of Newton–Raphson iteration that is used for simplifying the nonlinear terms in the equations. The characteristics of fluid flow fields, temperature distributions and entropy generation are studied for an enormous range of the Rayleigh number (10 3 ≤ Ra≤ 10 6 ) , volume fraction of nanoparticles (0 ≤ ϕ≤ 0.04), Hartmann number (0 ≤ Ha≤ 50) , thermal conductivity of the trapezoidal solid body (k w = 0.5 , 0.76, 1.95, 7 and 16) and the height of the trapezoidal solid body (0.15 ≤ D≤ 0.45). It is shown that the streamlines pattern is more sensitive to the increase in the Hartmann number in comparison with the augmentation of the volume fraction of nanoparticles. Also, for a more thermodynamically optimized system, the higher Hartmann number at a higher solid volume fraction of nanofluid is recommended as they show less entropy generation.

Original languageEnglish
JournalJournal of Thermal Analysis and Calorimetry
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Hartmann number
convective heat transfer
Volume fraction
Entropy
entropy
Magnetic fields
Heat transfer
cavities
magnetic fields
Nanoparticles
nanoparticles
Rayleigh number
Magnetohydrodynamics
enclosure
Enclosures
Natural convection
free convection
magnetohydrodynamics
fluid flow
iteration

Keywords

  • Brownian motion
  • Entropy generation
  • Magnetic field
  • Non-homogeneous nanofluid model
  • Solid trapezoidal body
  • Thermophoresis effects

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

Cite this

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title = "Impacts of magnetic field and non-homogeneous nanofluid model on convective heat transfer and entropy generation in a cavity with heated trapezoidal body",
abstract = "A numerical study is made on the entropy generation and magnetohydrodynamics natural convection of Al 2 O 3 -water non-homogeneous nanofluid inside a square enclosure equipped with a heated trapezoidal body. The Galerkin weighted residual finite element method is applied to solve the dimensionless governing equations within the utilized computational domain along with the algorithm of Newton–Raphson iteration that is used for simplifying the nonlinear terms in the equations. The characteristics of fluid flow fields, temperature distributions and entropy generation are studied for an enormous range of the Rayleigh number (10 3 ≤ Ra≤ 10 6 ) , volume fraction of nanoparticles (0 ≤ ϕ≤ 0.04), Hartmann number (0 ≤ Ha≤ 50) , thermal conductivity of the trapezoidal solid body (k w = 0.5 , 0.76, 1.95, 7 and 16) and the height of the trapezoidal solid body (0.15 ≤ D≤ 0.45). It is shown that the streamlines pattern is more sensitive to the increase in the Hartmann number in comparison with the augmentation of the volume fraction of nanoparticles. Also, for a more thermodynamically optimized system, the higher Hartmann number at a higher solid volume fraction of nanofluid is recommended as they show less entropy generation.",
keywords = "Brownian motion, Entropy generation, Magnetic field, Non-homogeneous nanofluid model, Solid trapezoidal body, Thermophoresis effects",
author = "Alsabery, {A. I.} and R. Mohebbi and Chamkha, {A. J.} and Ishak Hashim",
year = "2019",
month = "1",
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doi = "10.1007/s10973-019-08249-x",
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TY - JOUR

T1 - Impacts of magnetic field and non-homogeneous nanofluid model on convective heat transfer and entropy generation in a cavity with heated trapezoidal body

AU - Alsabery, A. I.

AU - Mohebbi, R.

AU - Chamkha, A. J.

AU - Hashim, Ishak

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A numerical study is made on the entropy generation and magnetohydrodynamics natural convection of Al 2 O 3 -water non-homogeneous nanofluid inside a square enclosure equipped with a heated trapezoidal body. The Galerkin weighted residual finite element method is applied to solve the dimensionless governing equations within the utilized computational domain along with the algorithm of Newton–Raphson iteration that is used for simplifying the nonlinear terms in the equations. The characteristics of fluid flow fields, temperature distributions and entropy generation are studied for an enormous range of the Rayleigh number (10 3 ≤ Ra≤ 10 6 ) , volume fraction of nanoparticles (0 ≤ ϕ≤ 0.04), Hartmann number (0 ≤ Ha≤ 50) , thermal conductivity of the trapezoidal solid body (k w = 0.5 , 0.76, 1.95, 7 and 16) and the height of the trapezoidal solid body (0.15 ≤ D≤ 0.45). It is shown that the streamlines pattern is more sensitive to the increase in the Hartmann number in comparison with the augmentation of the volume fraction of nanoparticles. Also, for a more thermodynamically optimized system, the higher Hartmann number at a higher solid volume fraction of nanofluid is recommended as they show less entropy generation.

AB - A numerical study is made on the entropy generation and magnetohydrodynamics natural convection of Al 2 O 3 -water non-homogeneous nanofluid inside a square enclosure equipped with a heated trapezoidal body. The Galerkin weighted residual finite element method is applied to solve the dimensionless governing equations within the utilized computational domain along with the algorithm of Newton–Raphson iteration that is used for simplifying the nonlinear terms in the equations. The characteristics of fluid flow fields, temperature distributions and entropy generation are studied for an enormous range of the Rayleigh number (10 3 ≤ Ra≤ 10 6 ) , volume fraction of nanoparticles (0 ≤ ϕ≤ 0.04), Hartmann number (0 ≤ Ha≤ 50) , thermal conductivity of the trapezoidal solid body (k w = 0.5 , 0.76, 1.95, 7 and 16) and the height of the trapezoidal solid body (0.15 ≤ D≤ 0.45). It is shown that the streamlines pattern is more sensitive to the increase in the Hartmann number in comparison with the augmentation of the volume fraction of nanoparticles. Also, for a more thermodynamically optimized system, the higher Hartmann number at a higher solid volume fraction of nanofluid is recommended as they show less entropy generation.

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KW - Thermophoresis effects

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