Calculating the Motion of a Viscous Fluid that Partially Fills a Cylindrical Cavity

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 t...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2019-05, Vol.60 (3), p.491-502
Main Author: Pivovarov, Yu. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Contact angle
Cylinders
Flow mapping
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Free boundaries
Incompressible flow
Incompressible fluids
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Rotating cylinders
Slip
Viscous fluids
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Summary: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.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894419030118