Instabilities of Diffuse Interfaces

Abstract

Abstract. Composition gradients in miscible liquids can create volume forces resulting in various interfacial phenomena. Experimental observations of these phenomena are related to some difficulties because they are transient, sufficiently weak and can be hidden by gravity driven flows. As a consequence, the question about their existence and about adequate mathematical models is not yet completely elucidated. In this work we present some experimental evidences of interfacial phenomena in miscible liquids and numerical simulations of miscible drops and diffuse interfaces.

A phase field description of self-propulsion of twin sessile drops induced by surface tension gradients

“…denoting the thermodynamic pressure ( f -the free-energy density for the homogeneous phases). The second term on the right-hand-side in equation ( 1) is the Korteweg stress, as introduced by Korteweg (1901) and subsequently studied by several authors (Bessonov et al 2004, Zoltowski et al 2007, Bessonov et al 2008. The Korteweg stress describes the contribution of the capillary forces and represents in the phase field formalism the substitute of the kinematic boundary condition at the liquid-gas interface (Colinet et al 2001).…”

Nonmonotone slip problem for miscible liquids

“…Examples of such phenomenon is the mixing of water and glycerin, and water and ethanol. The study of miscible liquids is motivated by problems in oil recovery, hydrology, polymer blends, groundwater pollution and filtration [1,2,3,6,15].…”