Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder

An experimental and numerical study was carried out to investigate the heat transfer by natural convection in a three dimensional annulus enclosure filled with porous media (silica sand) between two inclined concentric cylinders with (and without) annular fins attached to the inner cylinder under st...

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Main Authors: Saad M. AL-Mashaat, Manal H. AL-Hafidh
Format: Article
Language:English
Published: University of Baghdad/College of Engineering 2011-12-01
Series:Iraqi Journal of Chemical and Petroleum Engineering
Subjects:
Online Access:http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/356
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author Saad M. AL-Mashaat
Manal H. AL-Hafidh
author_facet Saad M. AL-Mashaat
Manal H. AL-Hafidh
author_sort Saad M. AL-Mashaat
collection DOAJ
description An experimental and numerical study was carried out to investigate the heat transfer by natural convection in a three dimensional annulus enclosure filled with porous media (silica sand) between two inclined concentric cylinders with (and without) annular fins attached to the inner cylinder under steady state condition. The experiments were carried out for a range of modified Rayleigh number (0.2 ≤Ra*≤ 11) and extended to Ra*=500 for numerical study and for annulus inclination angle of (δ = 0˚, 30˚, 60˚ and 90˚). The numerical study was to give the governing equation under assumptions that used Darcy law and Boussinesq’s approximation and then it was solved numerically using finite difference approximation. It was found that the average Nusselt number depends on (Ra*, Hf, δ and Rr ). The results showed that the increasing of the fin length increases the heat transfer rate for any fin pitch unless the area of the inner cylinder exceeds that of the outer one; then the heat will be stored in the porous media. A comparison was made between the results of the present work and those of other researches for the case without fins and excellent agreement was obtained.
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spelling doaj.art-e2124b7478e14d51b29855f5504dd3202022-12-21T23:31:07ZengUniversity of Baghdad/College of EngineeringIraqi Journal of Chemical and Petroleum Engineering1997-48842618-07072011-12-01124Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner CylinderSaad M. AL-MashaatManal H. AL-HafidhAn experimental and numerical study was carried out to investigate the heat transfer by natural convection in a three dimensional annulus enclosure filled with porous media (silica sand) between two inclined concentric cylinders with (and without) annular fins attached to the inner cylinder under steady state condition. The experiments were carried out for a range of modified Rayleigh number (0.2 ≤Ra*≤ 11) and extended to Ra*=500 for numerical study and for annulus inclination angle of (δ = 0˚, 30˚, 60˚ and 90˚). The numerical study was to give the governing equation under assumptions that used Darcy law and Boussinesq’s approximation and then it was solved numerically using finite difference approximation. It was found that the average Nusselt number depends on (Ra*, Hf, δ and Rr ). The results showed that the increasing of the fin length increases the heat transfer rate for any fin pitch unless the area of the inner cylinder exceeds that of the outer one; then the heat will be stored in the porous media. A comparison was made between the results of the present work and those of other researches for the case without fins and excellent agreement was obtained.http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/356natural convection, three dimensional, inclined annulus, porous media and annular fins. Iraqi Journal of Chemical and Petroleum Engineering University of Baghdad College of Engineering
spellingShingle Saad M. AL-Mashaat
Manal H. AL-Hafidh
Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder
Iraqi Journal of Chemical and Petroleum Engineering
natural convection, three dimensional, inclined annulus, porous media and annular fins. Iraqi Journal of Chemical and Petroleum Engineering University of Baghdad College of Engineering
title Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder
title_full Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder
title_fullStr Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder
title_full_unstemmed Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder
title_short Laminar Free Convection in Three Dimensional Inclined Porous Annulus with Fins on the Inner Cylinder
title_sort laminar free convection in three dimensional inclined porous annulus with fins on the inner cylinder
topic natural convection, three dimensional, inclined annulus, porous media and annular fins. Iraqi Journal of Chemical and Petroleum Engineering University of Baghdad College of Engineering
url http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/356
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