caa a22 4500 606167285 CHVBK 20210128100702.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10665-014-9722-5 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9722-5 Kim Min Department of Chemical Engineering, Jeju National University, 690-756, Jeju, Republic of Korea aut Linear stability analysis on the onset of the Rayleigh-Taylor instability of a miscible slice in a porous medium [Elektronische Daten] [Min Kim] The onset of buoyancy-driven instability of a miscible high-density slice is analyzed theoretically using linear stability analysis. New stability equations are derived in the similarity domain and solved with and without quasi-steady-state approximation. In contrast with fingering between two semi-infinite regions, the fingering of a finite region is affected by the depth of the high-density slice. Through the initial growth rate analysis, it is shown that initially the system is unconditionally stable regardless of the depth of the high-density slice and there exists a most unstable initial condition. The effects of the depth of slice on the stability characteristics are systematically studied and compared with previous theoretical results. The present results show that there exists a critical time from which the disturbance starts to grow and the critical depth below which the growth rate is always negative, i.e., the system is unconditionally stable. Springer Science+Business Media Dordrecht, 2014 Linear stability analysis nationallicence Miscible slice nationallicence Quasi-steady-state approximation nationallicence Rayleigh-Taylor instability nationallicence Spectral analysis nationallicence Journal of Engineering Mathematics Springer Netherlands 90/1(2015-02-01), 105-118 0022-0833 90:1<105 2015 90 10665 https://doi.org/10.1007/s10665-014-9722-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9722-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kim Min Department of Chemical Engineering, Jeju National University, 690-756, Jeju, Republic of Korea aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 90/1(2015-02-01), 105-118 0022-0833 90:1<105 2015 90 10665