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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Format: | Article |
Language: | English |
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University of Baghdad
2007-06-01
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Series: | Journal of Engineering |
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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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id | doaj.art-170299d7a3ca40b185ddfec70549259e |
institution | Directory Open Access Journal |
issn | 1726-4073 2520-3339 |
language | English |
last_indexed | 2024-04-25T01:10:07Z |
publishDate | 2007-06-01 |
publisher | University of Baghdad |
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series | Journal of Engineering |
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 |