Role of density gradients on miscible Rayleigh–Taylor fingers in porous media

نویسندگان

چکیده

We study miscible Rayleigh-Taylor (RT) fingering instability in two-dimensional homogeneous porous media, which the fluid density varies non-monotonically as a function of solute concentration such that maximum lies interior domain, thus creating stable and an unstable gradients evolve time. With help linear stability analysis (LSA) well nonlinear simulations effects on RT fingers are investigated. As diffusion relaxes gradient, non-monotonic profile emerges Our simple mathematical treatment addresses importance fingering. In this process we identify instabilities better understood combining Rayleigh number (Ra) with gradients--hence defining new dimensionless group, gradient (Ra$_g$). show controlling gradients, controllable.

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ژورنال

عنوان ژورنال: AIP Advances

سال: 2021

ISSN: ['2158-3226']

DOI: https://doi.org/10.1063/5.0054224