skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Effect of lattice defects on Hele-Shaw flow over an etched lattice

Journal Article · · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
; ; ;  [1]
  1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)

We examine the patterns formed by injecting nitrogen gas into the center of a horizontal, radial Hele-Shaw cell filled with paraffin oil. We use smooth plates and etched plates with lattices having different amounts of defects (0{endash}10&hthinsp;{percent}). In all cases, a quantitative measure of the pattern ramification shows a regular trend with injection rate and cell gap, such that the dimensionless perimeter scales with the dimensionless time. By adding defects to the lattice, we observe increased branching in the pattern morphologies. However, even in this case, the scaling behavior persists. Only the prefactor of the scaling function shows a dependence on the defect density. For different lattice defect densities, we examine the nature of the different morphology phases. {copyright} {ital 1999} {ital The American Physical Society}

OSTI ID:
361598
Journal Information:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 60, Issue 2; Other Information: PBD: Aug 1999
Country of Publication:
United States
Language:
English

Similar Records

Hele-Shaw scaling properties of low-contrast Saffman-Taylor flows
Journal Article · Sat Jul 01 00:00:00 EDT 1989 · Phys. Rev. A; (United States) · OSTI ID:361598

Growth-direction dependence of steady-state Saffman-Taylor flow in an anisotropic Hele-Shaw cell
Journal Article · Thu Aug 01 00:00:00 EDT 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:361598

Stable and unstable singularities in the unforced Hele-Shaw cell
Journal Article · Sat Jun 01 00:00:00 EDT 1996 · Physics of Fluids (1994) · OSTI ID:361598