TY - JOUR
T1 - Double-Diffusive Convection from a Discrete Heat and Solute Source in a Vertical Porous Annulus
AU - Sankar, M.
AU - Park, Youngyong
AU - Lopez, J. M.
AU - Do, Younghae
PY - 2012/2
Y1 - 2012/2
N2 - This article reports a numerical study of double-diffusive convection in a fluid-saturated vertical porous annulus subjected to discrete heat and mass fluxes from a portion of the inner wall. The outer wall is maintained at uniform temperature and concentration, while the top and bottom walls are adiabatic and impermeable to mass transfer. The physical model for the momentum equation is formulated using the Darcy law, and the resulting governing equations are solved using an implicit finite difference technique. The influence of physical and geometrical parameters on the streamlines, isotherms, isoconcentrations, average Nusselt and Sherwood numbers has been numerically investigated in detail. The location of heat and solute source has a profound influence on the flow pattern, heat and mass transfer rates in the porous annulus. For the segment located at the bottom portion of inner wall, the flow rate is found to be higher, whereas the heat and mass transfer rates are higher when the source is placed near the middle of the inner wall. Further, the average Sherwood number increases with Lewis number, while for the average Nusselt number the effect is opposite. The average Nusselt number increases with radius ratio (λ); however, the average Sherwood number increases with radius ratio only up to λ = 5, and for λ >5, the average Sherwood number does not increase significantly.
AB - This article reports a numerical study of double-diffusive convection in a fluid-saturated vertical porous annulus subjected to discrete heat and mass fluxes from a portion of the inner wall. The outer wall is maintained at uniform temperature and concentration, while the top and bottom walls are adiabatic and impermeable to mass transfer. The physical model for the momentum equation is formulated using the Darcy law, and the resulting governing equations are solved using an implicit finite difference technique. The influence of physical and geometrical parameters on the streamlines, isotherms, isoconcentrations, average Nusselt and Sherwood numbers has been numerically investigated in detail. The location of heat and solute source has a profound influence on the flow pattern, heat and mass transfer rates in the porous annulus. For the segment located at the bottom portion of inner wall, the flow rate is found to be higher, whereas the heat and mass transfer rates are higher when the source is placed near the middle of the inner wall. Further, the average Sherwood number increases with Lewis number, while for the average Nusselt number the effect is opposite. The average Nusselt number increases with radius ratio (λ); however, the average Sherwood number increases with radius ratio only up to λ = 5, and for λ >5, the average Sherwood number does not increase significantly.
KW - Darcy model
KW - Discrete heating and salting
KW - Double-diffusive convection
KW - Porous annulus
KW - Radius ratio
UR - http://www.scopus.com/inward/record.url?scp=84856006829&partnerID=8YFLogxK
U2 - 10.1007/s11242-011-9871-1
DO - 10.1007/s11242-011-9871-1
M3 - Article
AN - SCOPUS:84856006829
SN - 0169-3913
VL - 91
SP - 753
EP - 775
JO - Transport in Porous Media
JF - Transport in Porous Media
IS - 3
ER -