An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid

In this research, numerical solution of natural convection heat transfer of nanofluids in two-dimensional square enclosures is obtained for different values of Rayleigh numbers and volume fraction of nanofluids. Numerical simulation has then been undertaken for the mixture of Cu-water as nanofluid....

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Main Author: Ayad M. Salman
Format: Article
Language:English
Published: Unviversity of Technology- Iraq 2011-09-01
Series:Engineering and Technology Journal
Subjects:
Online Access:https://etj.uotechnology.edu.iq/article_32197_ab8af7f72f34280b83a25bdeb5526834.pdf
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author Ayad M. Salman
author_facet Ayad M. Salman
author_sort Ayad M. Salman
collection DOAJ
description In this research, numerical solution of natural convection heat transfer of nanofluids in two-dimensional square enclosures is obtained for different values of Rayleigh numbers and volume fraction of nanofluids. Numerical simulation has then been undertaken for the mixture of Cu-water as nanofluid. The stream–vorticity form of the Navier–Stokes equations and energy equation are used in this study. The present model is utilized to obtain results in the range of Rayleigh number 103–105 and volume fractions of nanofluids (0.025-0.1). The enclosure which represent two-dimensional square enclosure with heated left side wall, while the right side was cold, the top and bottom walls were adiabatic. The governing equations are solved with finite-difference technique by central difference scheme. A computer program in (FORTRAN 90) was used to carry out the numerical solution. The results are a remarkable increase in the average Nusselt number with an increase in the volume fraction. An increase in the Rayleigh number results an increase in the average Nusselt number for a certain nanoparticle. In order to validate the numerical model, the results of two previous works for square enclosure filled by water based Al2O3 nano-particles as nanofluids. The first work was variation of average Nusselt number and volume fraction for Ra number Ra=103. There are excellent agreement in results and the maximum difference between these results reach 4.2%. A relation between average Nusselt number and Ra number also compared for other previous work. There are agreement in results and found the maximum difference between results reach to 6.5% approximately at Ra=105 which validate the present computational model.
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spelling doaj.art-3ef87d6845234fcabd5017422e78589d2024-02-04T17:42:30ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582011-09-0129122346236310.30684/ etj.29.12.132197An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with NanofluidAyad M. SalmanIn this research, numerical solution of natural convection heat transfer of nanofluids in two-dimensional square enclosures is obtained for different values of Rayleigh numbers and volume fraction of nanofluids. Numerical simulation has then been undertaken for the mixture of Cu-water as nanofluid. The stream–vorticity form of the Navier–Stokes equations and energy equation are used in this study. The present model is utilized to obtain results in the range of Rayleigh number 103–105 and volume fractions of nanofluids (0.025-0.1). The enclosure which represent two-dimensional square enclosure with heated left side wall, while the right side was cold, the top and bottom walls were adiabatic. The governing equations are solved with finite-difference technique by central difference scheme. A computer program in (FORTRAN 90) was used to carry out the numerical solution. The results are a remarkable increase in the average Nusselt number with an increase in the volume fraction. An increase in the Rayleigh number results an increase in the average Nusselt number for a certain nanoparticle. In order to validate the numerical model, the results of two previous works for square enclosure filled by water based Al2O3 nano-particles as nanofluids. The first work was variation of average Nusselt number and volume fraction for Ra number Ra=103. There are excellent agreement in results and the maximum difference between these results reach 4.2%. A relation between average Nusselt number and Ra number also compared for other previous work. There are agreement in results and found the maximum difference between results reach to 6.5% approximately at Ra=105 which validate the present computational model.https://etj.uotechnology.edu.iq/article_32197_ab8af7f72f34280b83a25bdeb5526834.pdfnatural convectionnanofluidstreamvorticity formfinite differencesquare enclosure
spellingShingle Ayad M. Salman
An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid
Engineering and Technology Journal
natural convection
nanofluid
stream
vorticity form
finite difference
square enclosure
title An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid
title_full An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid
title_fullStr An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid
title_full_unstemmed An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid
title_short An Investigation of Natural Convection Heat Transfer in a Square Enclosure Filled with Nanofluid
title_sort investigation of natural convection heat transfer in a square enclosure filled with nanofluid
topic natural convection
nanofluid
stream
vorticity form
finite difference
square enclosure
url https://etj.uotechnology.edu.iq/article_32197_ab8af7f72f34280b83a25bdeb5526834.pdf
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