Finger competition dynamics in rotating Hele-Shaw cells

TY - JOUR

T1 - Finger competition dynamics in rotating Hele-Shaw cells

AU - Gadelha, Hermes

AU - Miranda, José A.

PY - 2004/12

Y1 - 2004/12

N2 - The development of interfacial instabilities in rotating Hele-Shaw cells were investigated. A differential equation describing the early nonlinear evolution of the interface was also derived, in terms of three relevant dimensionless parameters which are viscosity contrast A, surface tension B, and gap spacing b. It was found that the link between finger competition and A, B, and b can be revealed by a mechanism based on the enhanced growth of subharmonic perturbations. The condition of vanishing A was found to suppress the dynamic competition between fingers, regardless of the value of B and b.

AB - The development of interfacial instabilities in rotating Hele-Shaw cells were investigated. A differential equation describing the early nonlinear evolution of the interface was also derived, in terms of three relevant dimensionless parameters which are viscosity contrast A, surface tension B, and gap spacing b. It was found that the link between finger competition and A, B, and b can be revealed by a mechanism based on the enhanced growth of subharmonic perturbations. The condition of vanishing A was found to suppress the dynamic competition between fingers, regardless of the value of B and b.

UR - http://www.scopus.com/inward/record.url?scp=41349118501&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.70.066308

DO - 10.1103/PhysRevE.70.066308

M3 - Article

AN - SCOPUS:41349118501

VL - 70

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6 2

M1 - 066308

ER -