Free convective heat and mass transfer from a sphere of constant temperature and concentration buried in an unbounded porous medium is studied analytically assuming the validity of the Darcy flow model. Using a regular perturbation analysis, transient and steady-state solutions have been obtained in the form of series expansions in terms of a thermal Rayleigh number, which is based on the temperature of the heated sphere and the medium permeability. The results are exemplified by drawing the streamlines at various times. Of special significance is the emergence of a downward flow in the transient state when the two buoyancy mechanisms are opposed. These results apply as well to the case of buoyancy-induced flows from a sphere generating simultaneously two different chemical components.
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September 2012
This article was originally published in
Journal of Heat Transfer
Heat And Mass Transfer
Double Diffusion From a Heated Sphere in an Infinite Porous Medium
R. Ganapathy
e-mail: sowgar05@yahoo.com
R. Ganapathy
Department of Computer Applications, Saranathan College of Engineering, Anna University of Technology
, Tiruchirapalli 620 012, India
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R. Ganapathy
Department of Computer Applications, Saranathan College of Engineering, Anna University of Technology
, Tiruchirapalli 620 012, India
e-mail: sowgar05@yahoo.com
J. Heat Transfer. Sep 2012, 134(9): 092001 (9 pages)
Published Online: June 29, 2012
Article history
Received:
August 26, 2010
Revised:
February 15, 2012
Published:
June 27, 2012
Online:
June 29, 2012
Citation
Ganapathy, R. (June 29, 2012). "Double Diffusion From a Heated Sphere in an Infinite Porous Medium." ASME. J. Heat Transfer. September 2012; 134(9): 092001. https://doi.org/10.1115/1.4006241
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