Journal
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017)
Volume 1906, Issue -, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5012479
Keywords
Dendrites; convection; Oseen's viscous flow approximation
Funding
- Russian Science Foundation [16-11-10095]
- Russian Science Foundation [16-11-10095] Funding Source: Russian Science Foundation
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The analytical solution describing an inclined viscous flow around a growing dendrite in the Oseen hydrodynamic approximation is constructed in the two-and three-dimensional cases. The velocity components in the vicinity of dendritic tip are found in the parabolic cylinder and paraboloid of revolution coordinates. The obtained solution transforms to the previously obtained solution by Dash and Gill in the case of axisymmetric flow.
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