TY - JOUR

T1 - Mixing of a two-phase fluid by cavity flow

AU - Chella, Ravi

AU - Viñals, Jorge

PY - 1996/1/1

Y1 - 1996/1/1

N2 - Interface stretching during mixing of a two-phase fluid in shear flow is investigated numerically by introducing a mesoscopic description of the fluid. The classical infinitely thin boundary of separation between the two phases is replaced by a transition region of small but finite width, across which the order parameter of the two-phase fluid changes continuously. We consider the case of a conserved scalar order parameter and a fluid velocity that satisfies a modified Navier-Stokes equation that includes an explicit coupling term to the order parameter. In the macroscopic limit of a very thin interface, this coupling term gives rise to capillary forces. We focus on the limit of low Reynolds number flow and compute the interface stretching as a function of time for a range of parameters of the fluid. At early times and small coupling, our calculation agrees with the classical case of a material line passively advected by the flow. At later times, the interface stretching is seen to reach a maximum as capillary forces and diffusive relaxation of the order parameter become dominant.

AB - Interface stretching during mixing of a two-phase fluid in shear flow is investigated numerically by introducing a mesoscopic description of the fluid. The classical infinitely thin boundary of separation between the two phases is replaced by a transition region of small but finite width, across which the order parameter of the two-phase fluid changes continuously. We consider the case of a conserved scalar order parameter and a fluid velocity that satisfies a modified Navier-Stokes equation that includes an explicit coupling term to the order parameter. In the macroscopic limit of a very thin interface, this coupling term gives rise to capillary forces. We focus on the limit of low Reynolds number flow and compute the interface stretching as a function of time for a range of parameters of the fluid. At early times and small coupling, our calculation agrees with the classical case of a material line passively advected by the flow. At later times, the interface stretching is seen to reach a maximum as capillary forces and diffusive relaxation of the order parameter become dominant.

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U2 - 10.1103/PhysRevE.53.3832

DO - 10.1103/PhysRevE.53.3832

M3 - Article

AN - SCOPUS:0000808774

SN - 1539-3755

VL - 53

SP - 3832

EP - 3840

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 4

ER -