ASYMPTOTIC ANALYSIS OF THE MOTION OF A LOW-VISCOSITY FLUID THAT FILLS A CYLINDRICAL CAVITY BY HALF

A problem of a plane-parallel steady motion of a low-viscosity incompressible fluid that fills a rotating cylindrical cavity by half is under consideration. The Navier slip condition is imposed on a fluid — solid wall interface, and the condition of the absence of tangential stresses is imposed on a...

Full description

Saved in:
Bibliographic Details
Published inJournal of applied mechanics and technical physics Vol. 62; no. 2; pp. 200 - 213
Main Author Pivovarov, Yu. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2021
Springer Nature B.V
Subjects
Applications of Mathematics
Boundary layers
Classical and Continuum Physics
Classical Mechanics
Finite difference method
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Free boundaries
Incompressible flow
Incompressible fluids
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Rotating fluids
Thermodynamics
Viscosity
incompressible fluid
slip condition
weak boundary layer
current function
Navier — Stokes equations
vorticity
Online AccessGet full text

Cover

More Information
Summary:A problem of a plane-parallel steady motion of a low-viscosity incompressible fluid that fills a rotating cylindrical cavity by half is under consideration. The Navier slip condition is imposed on a fluid — solid wall interface, and the condition of the absence of tangential stresses is imposed on a free boundary. The equation of a boundary layer considered on the entire boundary of a semicircle as a single whole is reduced to a heat equation by changing the variable. A solution to the problem is constructed in the form of a series, while corner boundary layers are ignored. Calculations and comparison with the solution constructed earlier using the finite difference method are performed.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894421020036