Analytical solutions describing the oblique flow of a viscous incompressible fluid around a dendritic crystal

DOI10.1002/MMA.7960OpenAlexW3217585588MaRDI QIDQ6087654

P. K. Galenko, Dmitri V. Alexandrov

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10995/118328

zbMATH Keywords

hydrodynamicscrystal growthdendritesapplied mathematical modeling

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07)

Cites Work

• Unnamed Item
• Forced convection heat and momentum transfer to dendritic structures (parabolic cylinders and paraboloids of revolution)
• A THERMODYNAMICALLY CONSISTENT MODEL OF A MUSHY ZONE
• The Formation of Freckles in Binary Alloys
• Thermo-solutal and kinetic modes of stable dendritic growth with different symmetries of crystalline anisotropy in the presence of convection
• Nonlinear dynamics of mushy layers induced by external stochastic fluctuations
• Analytical solutions of mushy layer equations describing directional solidification in the presence of nucleation
• The boundary integral theory for slow and rapid curved solid/liquid interfaces propagating into binary systems
• The shape of dendritic tips
• Dynamics of particulate assemblages in metastable liquids: a test of theory with nucleation and growth kinetics
• The effect of density changes on crystallization with a mushy layer

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