HYDRODYNAMICS OF A NONSTATIONARY FLOW IN A MICROCYLINDER BEGINNING SUDDEN ROTATION

Results of a theoretical investigation of an acceleration liquid fl ow in a microcylinder beginning sudden rotation are presented. The problem on this fl ow was solved analytically with the use of the Laplace transform and the method of groups of symmetries as well as numerically using the method of Boltzmann lattices. The nonstationary fl ow-velocity profi les obtained analytically were compared with the results of a numerical solution. It is shown that the fl ow in the microcylinder develops by the asymptotic law and that the time of stabilization of this fl ow increases with increase in the Knudsen number. An analytical expression for the friction coeffi cient of the indicated fl ow has been obtained.
   
Author:  A. A. Avramenko, N. P. Dmitrenko, A. B. Kravchuk, Yu. Yu. Kovetskaya, and A. I. Tyrinov
Keywords:  acceleration fl ow, microcylinder, friction coeffi cient, velocity profi le, rotation moment
Page:  1452