Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 44: Growth and Fracture

DY 44.1: Talk

Tuesday, March 8, 2005, 15:45–16:00, TU H3010

Hydrodynamic Interaction in Dendritic Solidification — •Thomas Fischaleck, Dmitry Medvedev, and Klaus Kassner — Otto-von-Guericke-Universität Magdeburg, FNW/ITP, PF 4120, D - 39016 Magdeburg

The effects of convective flow on dendritic crystal growth and pattern formation have been an active research topic for many years, but have not been fully understood on the theoretical side. This is mainly because the governing equations are considerably more complicated than without flow and microscopic solvability theory, successfully describing a single free crystal growing into its quiescent supercooled melt, is no longer applicable in its original formulation.

We present a new approach based on an asymptotic decomposition scheme and extend existing linear solvability ideas to include convective motion in the melt. In particular, we study the case of convection due to an external flow and compare theoretical results to numerical simulations.