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Article

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Published version

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1999

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18931

The effect of lattice defects on Hele-Shaw flow over an etched lattice

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http://dx.doi.org/10.1103/PhysRevE.60.1767

Abstract

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 (010 %). 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.

Subject

Interfícies (Ciències físiques), Superfícies (Física), Pel·lícules fines, Dinàmica de fluids

Subject (English)

Surfaces (Physics), Interfaces (Physical sciences), Thin films, Fluid dynamics

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Articles publicats en revistes (Ciència dels Materials i Química Física)

Citation

DECKER, E. L., et al. The effect of lattice defects on Hele-Shaw flow over an etched lattice. Physical Review e. 1999. Vol. 60, num. 2, pags. 1767-1774. ISSN 1063-651X. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/18931

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