๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Pattern formation in constrained dendritic growth with solutal buoyancy

โœ Scribed by I. Steinbach


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
312 KB
Volume
57
Category
Article
ISSN
1359-6454

No coin nor oath required. For personal study only.

โœฆ Synopsis


Competing self-organization between the solidification pattern and the convection pattern in a directional solidification environment is investigated theoretically and by phase-field simulations. Melt flow introduces a mode of transport with broken symmetry dependent on the direction of growth relative to the vector of gravity. A stable and an unstable regime can be distinguished. The interaction between spacing selection and convection leads to a new type of scaling that explains results from phase-field simulations and solidification experiments under enhanced gravity.


๐Ÿ“œ SIMILAR VOLUMES


Pattern formation in reaction-diffusion
โœ E.J. Crampin; W.W. Hackborn; P.K. Maini ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Springer ๐ŸŒ English โš– 714 KB

Recent examples of biological pattern formation where a pattern changes qualitatively as the underlying domain grows have given rise to renewed interest in the reaction-diffusion (Turing) model for pattern formation. Several authors have now reported studies showing that with the addition of domain