Hydrodynamics of the interaction between bodies in a viscous fluid in the vicinity of their contact at low and high Reynolds numbers

0391904 - ÚH 2014 RIV US eng J - Článek v odborném periodiku
Petrov, A. G. - Kharlamov, Alexander
Hydrodynamics of the interaction between bodies in a viscous fluid in the vicinity of their contact at low and high Reynolds numbers.
Fluid Dynamics. Roč. 48, č. 2 (2013), s. 179-191. ISSN 0015-4628. E-ISSN 1573-8507
Grant CEP: GA ČR GA103/09/2066
Grant ostatní: Russian Foundation for Basic Research(RU) 11-01-00535; Russian Foundation for Basic Research(RU) 11-01-00857; Target Analytical Program; Development of the Scientific Potential of the Higher School(RU) 2.1.2/3604
Institucionální podpora: RVO:67985874
Klíčová slova: lubrication layer theory * viscous and inviscid fluids * thin layer * contact vicinity
Kód oboru RIV: BK - Mechanika tekutin
Impakt faktor: 0.320, rok: 2013

An interaction between bodies in the vicinity of their contact is investigated. Stresses determining the main part of the forces acting on the bodies in motion are produced in a narrow gap between the bodies in the vicinity of their contact. 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 can be constructed in the small distance between the surfaces. An overview of the problems solved using this approach is presented. For certain problems new formulations are given. The plausibility of the results is confirmed by comparing with the available exact particular solutions and the experimental data. Owing to the restrictions on the size of the paper, only two-dimensional problems are considered, although the approach developed can be applied to the solution of three-dimensional problems as well.
Trvalý link: http://hdl.handle.net/11104/0220872