Analytical solution of the problem on inclined viscous flow around a parabolic dendrite within the framework of Oseen's approximation / Alexandrov D.V., Galenko P.K. // Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki. - 2016. - V. 26, l. 3. - P. 379-387.

ISSN:
19949197
Type:
Article
Abstract:
A mathematical model of inclined viscous flow around a dendrite in Oseen's hydrodynamic approximation is formulated. The analytical solution of the problem on inclined viscous flow around a parabolic dendrite in two- and three-dimensional cases is constructed. The components of fluid velocity in the vicinity of the dendritic tip in 2D and 3D flow geometries are determined in the laboratory coordinate system by means of the curvilinear coordinates of parabolic cylinder and paraboloid of revolution. The analytical solutions of Oseen's hydrodynamic equations are rewritten in the coordinate system connected to the dendrite growing with a constant velocity. The obtained solution transforms to the previously known one in the limiting case of zero angle between the fluid velocity direction far from the dendrite and its axis. A scaled component of fluid velocity as a function of parabolic coordinates at different slope coefficients of flow is illustrated.
Author keywords:
Convection; Dendrites; Oseen's approximation; Viscous flow
Index keywords:
нет данных
DOI:
10.20537/vm160307
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85009736169&doi=10.20537%2fvm160307&partnerID=40&md5=c345b5f8a6849547c4469c63be9528ee
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-85009736169&doi=10.20537%2fvm160307&partnerID=40&md5=c345b5f8a6849547c4469c63be9528ee
Affiliations Department of Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, pr. Lenina, 51, Yekaterinburg, Russian Federation; Faculty of Physics and Astronomy, Friedrich Schiller University, Jena, Germany
Author Keywords Convection; Dendrites; Oseen's approximation; Viscous flow
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Publisher Udmurt State University
Language of Original Document Russian
Abbreviated Source Title Vestn. Udmurt. Univ., Matematika, Mekhanika, Kompyuternye Nauki
Source Scopus