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

• 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
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-011-9867-x

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.