Linear stability analysis of Korteweg stresses effect on miscible viscous fingering in porous media

DOI10.1063/1.4813403zbMath1320.76112OpenAlexW2025362016WikidataQ114815293 ScholiaQ114815293MaRDI QIDQ2945298

Satyajit Pramanik, Manoranjan Mishra

Publication date: 9 September 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4813403

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (11)

Linear and non-linear analyses of Soret-driven buoyancy convection in a vertically orientated Hele-Shaw cell with nanoparticles suspension ⋮ Non-modal stability analysis of miscible viscous fingering with non-monotonic viscosity profiles ⋮ Theoretical analysis on the onset of buoyancy-driven instability of horizontal interfaces between miscible fluids in a Hele-Shaw cell ⋮ Linear stability analysis on the onset of the Rayleigh-Taylor instability of a miscible slice in a porous medium ⋮ Effect of thermodynamic instability on viscous fingering of binary mixtures in a Hele-Shaw cell ⋮ On the instability of buoyancy-driven flows in porous media ⋮ Numerical study of the effect of Péclet number on miscible viscous fingering with effective interfacial tension ⋮ Phase separation effects on a partially miscible viscous fingering dynamics ⋮ Transient growth and symmetrizability in rectilinear miscible viscous fingering ⋮ Viscous fingering of miscible annular ring ⋮ Pore-scale study of miscible displacements in porous media using lattice Boltzmann method

Cites Work

• A continuum method for modeling surface tension
• Miscible displacement in a Hele-Shaw cell
• The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations
• The stability of an interface between miscible fluids in a porous medium
• Viscous fingering of miscible slices
• Miscible droplets in a porous medium and the effects of Korteweg stresses
• Miscible displacements in capillary tubes: Influence of Korteweg stresses and divergence effects
• Stability of miscible displacements in porous media: Rectilinear flow
• Stability of miscible displacements in porous media with nonmonotonic viscosity profiles
• A spectral theory for small-amplitude miscible fingering

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