Dispersion-driven instability of mixed convective flow in porous media

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper investigates the impact of hydrodynamic dispersion on the stability of free convection in a saturated horizontal porous layer subject to a transient vertical concentration gradient and a steady horizontal background flow. A linear stability analysis (LSA) was conducted using the quasi-steady-state approximation to obtain neutral stability curves, critical times, and the correspondingwavenumbers as a function of dispersivity ratio (α) and longitudinal dispersion strength (β). The LSA results showed that the dispersive boundary layer becomes less unstable as longitudinal and transverse dispersivity increase. In addition, for the isotropic dispersive system with α = 1, the critical time and its corresponding wavenumber follow τc = 167.6/(1-β) and kc = 0.0696 (1-β), respectively. The nonlinear dynamics of the system were studied by examining the interaction of convective fingers, dissolution flux, and the time-dependent Sherwood number. Finally, the results were applied to 24 deep saline aquifers in the Alberta Basin.

Original languageEnglish (US)
Article number094102
JournalPhysics of Fluids
Volume29
Issue number9
DOIs
StatePublished - Sep 1 2017

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convective flow
Alberta
quasi-steady states
aquifers
free convection
boundary layers
dissolving
hydrodynamics
gradients
curves
approximation
interactions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

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title = "Dispersion-driven instability of mixed convective flow in porous media",
abstract = "This paper investigates the impact of hydrodynamic dispersion on the stability of free convection in a saturated horizontal porous layer subject to a transient vertical concentration gradient and a steady horizontal background flow. A linear stability analysis (LSA) was conducted using the quasi-steady-state approximation to obtain neutral stability curves, critical times, and the correspondingwavenumbers as a function of dispersivity ratio (α) and longitudinal dispersion strength (β). The LSA results showed that the dispersive boundary layer becomes less unstable as longitudinal and transverse dispersivity increase. In addition, for the isotropic dispersive system with α = 1, the critical time and its corresponding wavenumber follow τc = 167.6/(1-β) and kc = 0.0696 (1-β), respectively. The nonlinear dynamics of the system were studied by examining the interaction of convective fingers, dissolution flux, and the time-dependent Sherwood number. Finally, the results were applied to 24 deep saline aquifers in the Alberta Basin.",
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Dispersion-driven instability of mixed convective flow in porous media. / Emami-Meybodi, Hamid.

In: Physics of Fluids, Vol. 29, No. 9, 094102, 01.09.2017.

Research output: Contribution to journalArticle

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