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CALCULATING THE MOTION OF A VISCOUS FLUID THAT PARTIALLY FILLS A CYLINDRICAL CAVITY Full article

Journal Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944
Output data Year: 2019, Volume: 60, Number: 3, Pages: 491–502 Pages count : DOI: 10.1134/S0021894419030118
Tags conformal mapping, incompressible fluid, Navier — Stokes equation, slip condition, vortex, current function.
Authors Pivovarov Yurii Vladimirovich 1
Affiliations
1 Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences

Abstract: The plane-parallel steady motion of a viscous incompressible fluid that partially fills a cylindrical rotating cavity is under consideration. The region occupied by the fluid is simply connected, with two points of a sliding three-phase contact, and the contact angles at which the fluid approaches the walls are specified at these points. The free boundary of the fluid is curvilinear. There is a slip condition at the interface between the fluid and solid wall, which corresponds to proportionality of tangential stresses of a velocity difference of the solid and fluid particles. The flow region is conformally mapped onto a rectangle. The vortex and current function with a given slip coefficient and different rotation velocities of the cylinder are calculated.
Cite: Pivovarov Y.V.
CALCULATING THE MOTION OF A VISCOUS FLUID THAT PARTIALLY FILLS A CYLINDRICAL CAVITY
Journal of Applied Mechanics and Technical Physics. 2019. V.60. N3. P.491–502. DOI: 10.1134/S0021894419030118 WOS Scopus РИНЦ OpenAlex
Original: Пивоваров Ю.В.
Расчет движения вязкой жидкости, частично заполняющей цилиндрическую полость
Прикладная механика и техническая физика. 2019. Т.60. №3. С.106-119. DOI: 10.15372/PMTF20190311 РИНЦ OpenAlex
Dates:
Submitted: Sep 6, 2018
Accepted: Nov 26, 2018
Published print: Jun 28, 2019
Published online: Jun 28, 2019
Identifiers:
Web of science: WOS:000479070400011
Scopus: 2-s2.0-85070197292
Elibrary: 41624065
OpenAlex: W2964888697
Citing:
DB Citing
Scopus 1
OpenAlex 1
Elibrary 1
Web of science 1
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