TY - JOUR
T1 - Mixing of a two-phase fluid by cavity flow
AU - Chella, Ravi
AU - Viñals, Jorge
PY - 1996
Y1 - 1996
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.
UR - http://www.scopus.com/inward/record.url?scp=0000808774&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000808774&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.53.3832
DO - 10.1103/PhysRevE.53.3832
M3 - Article
AN - SCOPUS:0000808774
SN - 1063-651X
VL - 53
SP - 3832
EP - 3840
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
ER -