English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

An asymptotic interface equation for directional solidification near theabsolute stabiliy limit is extended by a nonlocal term describing a shear flowparallel to the interface. In the long-wave limit considered, the flow actsdestabilizing on a planar interface. Moreover, linear stability analysissuggests that the morphology diagram is modified by the flow near the onset ofthe Mullins-Sekerka instability. Via numerical analysis, the bifurcationstructure of the system is shown to change. Besides the known hexagonal cells,structures consisting of stripes arise. Due to its symmetry-breakingproperties, the flow term induces a lateral drift of the whole pattern, oncethe instability has become active. The drift velocity is measured numericallyand described analytically in the framework of a linear analysis. At large flowstrength, the linear description breaks down, which is accompanied by atransition to flow-dominated morphologies, described in a companion paper.Small and intermediate flows lead to increased order in the lattice structureof the pattern, facilitating the elimination of defects. Locally oscillatingstructures appear closer to the instability threshold with flow than without.Comment: 20 pages, Latex, accepted for Physical Review

Pattern formation in directional solidification under shear flow. I. Linear stability analysis and basic patterns