Heat transfer and cross-diffusion due to a sphere of constant thermal energy embedded in a porous medium
Heat transfer and cross-diffusion due to a sphere of constant thermal energy and concentration embedded in unbounded homogeneous porous medium in a regime where the temperature gradient produces mass flux is analytically studied using Darcy flow model. Analytical solution is obtained with r...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear Sciences
2017-01-01
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| Series: | Thermal Science |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-983617503M .pdf |
| Summary: | Heat transfer and cross-diffusion due to a sphere of constant thermal energy
and concentration embedded in unbounded homogeneous porous medium in a
regime where the temperature gradient produces mass flux is analytically
studied using Darcy flow model. Analytical solution is obtained with regular
perturbation analysis in the limit of small Rayleigh number. Due to
cross-diffusion, solute front initially shows stronger convection than
thermal front, but ultimately reaches steady-state at approximately the
same time as that of thermal front. Quantity of heat necessary to maintain
the steady-state is found to be least near the rear stagnation point and the
mean Nusselt number is found to be unaffected by cross-diffusion. Nusselt
number variation for different cone angles and Soret number is studied and
it is found that higher improvement is achieved when cone angle is changed
from 80 to 100°. |
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| ISSN: | 0354-9836 2334-7163 |