Three-dimensional problems of the hydrodynamic interaction between bodies in a viscous fluid in the vicinity of their contact

0422368 - ÚH 2014 RIV US eng J - Journal Article
Petrov, A. G. - Kharlamov, Alexander A.
Three-dimensional problems of the hydrodynamic interaction between bodies in a viscous fluid in the vicinity of their contact.
Fluid Dynamics. Roč. 48, č. 5 (2013), s. 577-587. ISSN 0015-4628. E-ISSN 1573-8507
R&D Projects: GA ČR(CZ) GA103/09/2066
Grant - others:Development of the Scientific Potential of the Higher Schoo(RU) 2.1.2/3604; Russian Foundation for Basic Research(RU) 11- 01-005355
Institutional support: RVO:67985874
Keywords : lubrication layer theory * viscous and inviscid fluids * thin layer * vicinity of a contact * three-dimensional problems
Subject RIV: BK - Fluid Dynamics
Impact factor: 0.320, year: 2013

The study is devoted to the hydrodynamic interaction between bodies near their contact. The stresses produced in a narrow gap between the bodies in the vicinity of their contact determine the main part of forces acting on the bodies in motion. In many cases, the velocity and pressure fields in the vicinity of the contact can be determined and the main asymptotics for the hydrodynamic interaction force in the small spacing between the surfaces can be derived. An overview of the three-dimensional problems solved using this method is presented and for certain problems new formulations are given. The reliability of the results is confirmed by the comparison with available exact particular solutions and experimental data.
Permanent Link: http://hdl.handle.net/11104/0228582