TY - JOUR
T1 - Gravitational instability and its scaling relation of a partially miscible two‐component system in a porous medium
AU - Kim, Min Chan
AU - Song, Kwang Ho
N1 - Funding Information:
Both authors contributed equally to this work. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea ( NRF ) funded by the Ministry of Education ( NRF-2018R1D1A3A03000703 ).
Publisher Copyright:
© 2021
PY - 2021/4
Y1 - 2021/4
N2 - In the context of the co-injection of CO2 and impurities, such as H2S, SOx and N2, in the carbon capture and geological sequestration, the effect of the double diffusion on the onset and the growth of buoyancy-driven convection are studied theoretically and numerically. Based on the density profile, asymptotic stability limits are suggested as a function of the diffusivity ratio, δB, and the buoyancy ratio, −rβrC. In order to obtain more accurate features of the stability characteristics, the linear stability analysis and the nonlinear numerical simulations are also conducted. It is interesting that the present asymptotic, linear and nonlinear analyses are in good agreement. Based on the present stability analyses, we tried to find out the scaling relations which can be used as control parameters in related systems. In the double diffusive (DD) convection and the extended double diffusive (EDD) convection regimes, a new scaling relation is suggested by the temporal change of the density gradient rather than the density difference or the density gradient.
AB - In the context of the co-injection of CO2 and impurities, such as H2S, SOx and N2, in the carbon capture and geological sequestration, the effect of the double diffusion on the onset and the growth of buoyancy-driven convection are studied theoretically and numerically. Based on the density profile, asymptotic stability limits are suggested as a function of the diffusivity ratio, δB, and the buoyancy ratio, −rβrC. In order to obtain more accurate features of the stability characteristics, the linear stability analysis and the nonlinear numerical simulations are also conducted. It is interesting that the present asymptotic, linear and nonlinear analyses are in good agreement. Based on the present stability analyses, we tried to find out the scaling relations which can be used as control parameters in related systems. In the double diffusive (DD) convection and the extended double diffusive (EDD) convection regimes, a new scaling relation is suggested by the temporal change of the density gradient rather than the density difference or the density gradient.
KW - Double diffusion
KW - Gravitational fingering
KW - Linear stability analysis
KW - Numerical simulation
KW - Scaling relation
UR - http://www.scopus.com/inward/record.url?scp=85100075382&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2021.120899
DO - 10.1016/j.ijheatmasstransfer.2021.120899
M3 - Article
AN - SCOPUS:85100075382
SN - 0017-9310
VL - 169
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
M1 - 120899
ER -