Analysis of Heat and Mass Transfer in a Vertical Annular Porous Cylinder Using FEM

The present study is intended to study heat and mass transfer in a vertical annular cylinder embedded with saturated porous medium. The inner surface of cylinder is maintained at uniform wall temperature and uniform wall concentration. The governing partial differential equations are non-dimensional...

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Bibliographic Details
Published in:Transport in porous media 2012, Vol.91 (2), p.697-715
Main Authors: Badruddin, Irfan Anjum, Salman Ahmed, N. J., Al-Rashed, Abdullah A. A. A., Kanesan, Jeevan, Kamangar, Sarfaraz, Khaleed, H. M. T.
Format: Article
Language:English
Subjects:
Aspect ratio
Civil Engineering
Classical and Continuum Physics
Cylinders
Dimensionless numbers
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Exact sciences and technology
Finite element method
Geotechnical Engineering & Applied Earth Sciences
Heat
Heat transfer
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Mass transfer
Partial differential equations
Porous media
Viscosity
Wall temperature
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Summary:The present study is intended to study heat and mass transfer in a vertical annular cylinder embedded with saturated porous medium. The inner surface of cylinder is maintained at uniform wall temperature and uniform wall concentration. The governing partial differential equations are non-dimensionalised and solved by using finite element method (FEM). The porous medium is discritised using triangular elements with uneven element size. Large number of smaller-sized elements are placed near the walls of the annulus to capture the smallest variation in solution parameters. The results are reported for both aiding and opposing flows. The effects of various non-dimensional numbers such as buoyancy ratio, Lewis number, Rayleigh number, aspect ratio, etc on heat and mass transfer are discussed. The temperature and concentration profiles are presented.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-011-9867-x