Please use this identifier to cite or link to this item: http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/405
Title: Onset of fingering instability in a finite slice of adsorbed solute
Authors: Hota, T.K.
Pramanik, S.
Mishra, M.
Keywords: Aquifers
Chromatography
Diffusion in liquids
Flow of fluids
Groundwater pollution
Hydrogeology
Initial value problems
Linear stability analysis
Liquid chromatography
Nonlinear equations
Fingering instabilities
Fluid flow problems
Miscible displacement
Non-linear regimes
Onset of instabilities
Pseudospectral methods
Qualitative influences
Qualitative influences
Stability
Issue Date: 18-Nov-2016
Abstract: The effect of a linear adsorption isotherm on the onset of fingering instability in a miscible displacement in the application of liquid chromatography, pollutant contamination in aquifers, etc., is investigated. Such fingering instability on the solute dynamics arise due to the miscible viscus fingering (VF) between the displacing fluid and sample solvent. We use a Fourier pseudo-spectral method to solve the initial value problem that appears in the linear stability analysis. The present linear stability analysis is of generic type and it captures the early-time-diffusion-dominated region which was never expressible through the quasi-steady-state analysis (QSSA). In addition, it measures the onset of instability more accurately than the QSSA methods. It is shown that the onset time depends nonmonotonically on the retention parameter of the solute adsorption. This qualitative influence of the retention parameter on the onset of instability resemblances with the results obtained from direct numerical simulations of the nonlinear equations. Moreover, the present linear stability method helps for an appropriate characterization of the linear and nonlinear regimes of miscible VF instability and also can be useful for the fluid flow problems with the unsteady base state.
URI: http://localhost:8080/xmlui/handle/123456789/405
Appears in Collections:Year-2015

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