Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies

The effects of opposing buoyancies on natural convection heat and mass transfer in the boundary layer over a vertical cylinder immersed in a quiescent Newtonian fluid are presented in this paper. The surface of the cylinder is maintained at a constant temperature and concentration. The homotopic t...

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Main Authors: M. Si Abdallah, B. Zeghmati
Format: Article
Language:English
Published: Isfahan University of Technology 2011-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:http://jafmonline.net/JournalArchive/download?file_ID=15312&issue_ID=206
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author M. Si Abdallah
B. Zeghmati
author_facet M. Si Abdallah
B. Zeghmati
author_sort M. Si Abdallah
collection DOAJ
description The effects of opposing buoyancies on natural convection heat and mass transfer in the boundary layer over a vertical cylinder immersed in a quiescent Newtonian fluid are presented in this paper. The surface of the cylinder is maintained at a constant temperature and concentration. The homotopic transformation is proposed to transform the physical domain into a flat plate. The boundary layer equations and the boundary conditions are solved numerically using an implicit finite difference scheme and the Gauss-Seidel algorithm. The buoyancy ratio N, Prandtl number Pr and Schmidt number Sc are important parameters for this problem. The numerical results for Pr=Sc and Pr≠ Sc, including the velocity, temperature, concentration fields and the Nusselt number as well as the Sherwood number along the surface of the cylinder are discussed for aiding and opposing buoyancies. Results show that the Nusselt (Sherwood) number increases with positive or negative buoyancies ration N (N=Grc/Grt). Moreover, for opposing flows with Sc<Pr , the flow is completely downward, the thickness of the concentration layer is larger than that of the thermal layer . For Pr<Sc , the velocity are weak and the thermal layer thickness is much larger.
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spelling doaj.art-26634c3d57154b5a88560e4a9734d6c12022-12-21T21:18:22ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-36452011-01-01441521.Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing BuoyanciesM. Si AbdallahB. ZeghmatiThe effects of opposing buoyancies on natural convection heat and mass transfer in the boundary layer over a vertical cylinder immersed in a quiescent Newtonian fluid are presented in this paper. The surface of the cylinder is maintained at a constant temperature and concentration. The homotopic transformation is proposed to transform the physical domain into a flat plate. The boundary layer equations and the boundary conditions are solved numerically using an implicit finite difference scheme and the Gauss-Seidel algorithm. The buoyancy ratio N, Prandtl number Pr and Schmidt number Sc are important parameters for this problem. The numerical results for Pr=Sc and Pr≠ Sc, including the velocity, temperature, concentration fields and the Nusselt number as well as the Sherwood number along the surface of the cylinder are discussed for aiding and opposing buoyancies. Results show that the Nusselt (Sherwood) number increases with positive or negative buoyancies ration N (N=Grc/Grt). Moreover, for opposing flows with Sc<Pr , the flow is completely downward, the thickness of the concentration layer is larger than that of the thermal layer . For Pr<Sc , the velocity are weak and the thermal layer thickness is much larger.http://jafmonline.net/JournalArchive/download?file_ID=15312&issue_ID=206Free convection Boundary layer Buoyancy force Vertical cylinder Heat transfer Mass transfer
spellingShingle M. Si Abdallah
B. Zeghmati
Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies
Journal of Applied Fluid Mechanics
Free convection
Boundary layer
Buoyancy force
Vertical cylinder
Heat transfer
Mass transfer
title Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies
title_full Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies
title_fullStr Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies
title_full_unstemmed Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies
title_short Natural Convection Heat and Mass Transfer in the Boundary Layer along a Vertical Cylinder with Opposing Buoyancies
title_sort natural convection heat and mass transfer in the boundary layer along a vertical cylinder with opposing buoyancies
topic Free convection
Boundary layer
Buoyancy force
Vertical cylinder
Heat transfer
Mass transfer
url http://jafmonline.net/JournalArchive/download?file_ID=15312&issue_ID=206
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