NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI

Numerical solutions are presented for the transient natural convection heat transfer problem in horizontal isothermal cylindrical annuli, enclosed in heated inner and cooled outer cylinders. Solutions for laminar case were obtained within Grashof number based on the inner diameter which varied from...

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Main Authors: Ayad K. Hassan, Jasim M. A. Al-lateef
Format: Article
Language:English
Published: University of Baghdad 2007-06-01
Series:Journal of Engineering
Subjects:
Online Access:https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2458
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author Ayad K. Hassan
Jasim M. A. Al-lateef
author_facet Ayad K. Hassan
Jasim M. A. Al-lateef
author_sort Ayad K. Hassan
collection DOAJ
description Numerical solutions are presented for the transient natural convection heat transfer problem in horizontal isothermal cylindrical annuli, enclosed in heated inner and cooled outer cylinders. Solutions for laminar case were obtained within Grashof number based on the inner diameter which varied from 1x102 to 1x105 in air. Both vorticity and energy equations were solved using alternating direction implicit (ADI) method and stream function equation by successive over relaxation (SOR) method. The structure of fluid flow such as a velocity vector and temperature distribution as well as Nusselt number were obtained and the effect of diameter ratio on them is examined. In addition, the Grashof number was changed with the influence of variation Prandtle number and diameter ratio. Our numerical calculation are summarized by Nussult number vs. Grashof number curves with diameter ratios and prandtl as a parameter, which serves as a guide to natural convection heat transfer calculated from annulus. Good agreement with previous data were obtained. 
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spelling doaj.art-170299d7a3ca40b185ddfec70549259e2024-03-10T09:52:00ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392007-06-01130210.31026/j.eng.2007.02.08NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI Ayad K. Hassan Jasim M. A. Al-lateef Numerical solutions are presented for the transient natural convection heat transfer problem in horizontal isothermal cylindrical annuli, enclosed in heated inner and cooled outer cylinders. Solutions for laminar case were obtained within Grashof number based on the inner diameter which varied from 1x102 to 1x105 in air. Both vorticity and energy equations were solved using alternating direction implicit (ADI) method and stream function equation by successive over relaxation (SOR) method. The structure of fluid flow such as a velocity vector and temperature distribution as well as Nusselt number were obtained and the effect of diameter ratio on them is examined. In addition, the Grashof number was changed with the influence of variation Prandtle number and diameter ratio. Our numerical calculation are summarized by Nussult number vs. Grashof number curves with diameter ratios and prandtl as a parameter, which serves as a guide to natural convection heat transfer calculated from annulus. Good agreement with previous data were obtained.  https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2458Natural Convection, Numerical Simulation, Isothermal , Cylindrical Annuli
spellingShingle Ayad K. Hassan
Jasim M. A. Al-lateef
NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
Journal of Engineering
Natural Convection, Numerical Simulation, Isothermal , Cylindrical Annuli
title NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
title_full NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
title_fullStr NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
title_full_unstemmed NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
title_short NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
title_sort numerical simulation of two dimensional transient natural convection heat transfer from isothermal horizontal cylindrical annuli
topic Natural Convection, Numerical Simulation, Isothermal , Cylindrical Annuli
url https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2458
work_keys_str_mv AT ayadkhassan numericalsimulationoftwodimensionaltransientnaturalconvectionheattransferfromisothermalhorizontalcylindricalannuli
AT jasimmaallateef numericalsimulationoftwodimensionaltransientnaturalconvectionheattransferfromisothermalhorizontalcylindricalannuli