Local theory of parallel approach of plates in an incompressible liquid


A flow of an incompressible liquid in a thin layer between two approaching disks or plates located in parallel, at the final stage of their symmetrical approach, is considered. It is assumed that the velocity of the body is assigned as a function of time. An inspection analysis of the problem has been made: the types of flows depending on the law of approaching plates and the conditions under which the pressure in the layer and, consequently, the acting forces increase infinitely have been determined. Approximate solutions in the plane and axisymmetric cases are suggested. Exact solutions have been obtained for infinitely small and infinitely high Reynolds numbers.


incompressible liquid law of approaching plates viscous flow regime highly viscous flow regime inviscid flow regime 


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© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.ZhukovskiiMoscow RegionRussia

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