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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Research Article| November 28 2017
Dendritic growth in an inclined viscous flow. Part 1. Hydrodynamic solutions
D. V. Alexandrov;
AIP Conf. Proc. 1906, 200003 (2017)
D. V. Alexandrov, P. K. Galenko; Dendritic growth in an inclined viscous flow. Part 1. Hydrodynamic solutions. AIP Conf. Proc. 28 November 2017; 1906 (1): 200003. https://doi.org/10.1063/1.5012479
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