A Theoretical Study on Natural Convection in a Concentric Vertical Annulus

The research include a theoretical study of natural laminar study convection heat transfer in a vertical annuls, the surfaces were at constant temperature and the inner cylinder temperature is higher than the outer cylinder temperature. The air used as a working fluid in the annulus. Rayleigh Number...

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Main Authors: Mohanned A. Al-Thaher, Sami Retha Aslan, Manar S. Mahdi
Format: Article
Language:English
Published: Tikrit University 2006-03-01
Series:Tikrit Journal of Engineering Sciences
Online Access:https://tj-es.com/ojs/index.php/tjes/article/view/715
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author Mohanned A. Al-Thaher
Sami Retha Aslan
Manar S. Mahdi
author_facet Mohanned A. Al-Thaher
Sami Retha Aslan
Manar S. Mahdi
author_sort Mohanned A. Al-Thaher
collection DOAJ
description The research include a theoretical study of natural laminar study convection heat transfer in a vertical annuls, the surfaces were at constant temperature and the inner cylinder temperature is higher than the outer cylinder temperature. The air used as a working fluid in the annulus. Rayleigh Number was( 71 Ra 5 10 4 ) and the radius ratio were (1.7, 2.0 and 2.3). Alternating direct implicit method (ADI) was used to solve the governing equations numerically, the governing equations were transformed into vorticity-stream function formula then transformed into algebraic equations using finite difference method. The results were declared by using contour diagrams which represent streamlines and isotherms also the results were declared by velocity and temperature distribution through the annulus and local Nusselt number along the inner cylinder.It was found in this research that heat transfer by conduction in low Rayleigh Number, also increasing the thermal boundary layer around the inner cylinder as the fluid moves up while the thermal boundary layer on the outer cylinder increases as the fluid moves down.
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spelling doaj.art-f28c090e529446a1a9b60081d10a7ce42023-07-12T12:56:40ZengTikrit UniversityTikrit Journal of Engineering Sciences1813-162X2312-75892006-03-0113110.25130/tjes.13.1.09A Theoretical Study on Natural Convection in a Concentric Vertical AnnulusMohanned A. Al-Thaher0Sami Retha Aslan1Manar S. Mahdi2Mechanical Eng. Dept., Tikrit University, IraqMechanical Eng. Dept., Tikrit University, IraqMechanical Eng. Dept., Tikrit University, IraqThe research include a theoretical study of natural laminar study convection heat transfer in a vertical annuls, the surfaces were at constant temperature and the inner cylinder temperature is higher than the outer cylinder temperature. The air used as a working fluid in the annulus. Rayleigh Number was( 71 Ra 5 10 4 ) and the radius ratio were (1.7, 2.0 and 2.3). Alternating direct implicit method (ADI) was used to solve the governing equations numerically, the governing equations were transformed into vorticity-stream function formula then transformed into algebraic equations using finite difference method. The results were declared by using contour diagrams which represent streamlines and isotherms also the results were declared by velocity and temperature distribution through the annulus and local Nusselt number along the inner cylinder.It was found in this research that heat transfer by conduction in low Rayleigh Number, also increasing the thermal boundary layer around the inner cylinder as the fluid moves up while the thermal boundary layer on the outer cylinder increases as the fluid moves down. https://tj-es.com/ojs/index.php/tjes/article/view/715
spellingShingle Mohanned A. Al-Thaher
Sami Retha Aslan
Manar S. Mahdi
A Theoretical Study on Natural Convection in a Concentric Vertical Annulus
Tikrit Journal of Engineering Sciences
title A Theoretical Study on Natural Convection in a Concentric Vertical Annulus
title_full A Theoretical Study on Natural Convection in a Concentric Vertical Annulus
title_fullStr A Theoretical Study on Natural Convection in a Concentric Vertical Annulus
title_full_unstemmed A Theoretical Study on Natural Convection in a Concentric Vertical Annulus
title_short A Theoretical Study on Natural Convection in a Concentric Vertical Annulus
title_sort theoretical study on natural convection in a concentric vertical annulus
url https://tj-es.com/ojs/index.php/tjes/article/view/715
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