NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
55th Japan National Congress for Theoretical and Applied Mechanics
Session ID : 2D03
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OS16
Viscous solitons on film flows falling down a vertical wall
*Takeshi OoshidaSeiji WatanabeHiromitsu Kawazoe
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Abstract
Liquid film flows falling down a wall are known for its peculiar wave dynamics arising from the instability of the flow itself. Since there are many factors involved in the dynamics of film flows, its theoretical study tends to be complicated. In the present study we try to simplify the situation by focusing our attention to the limit of high viscosity, as one of the ideal cases, in which the bulk flow is governed by Stokes equation; this idealization facilitates to study the effects of finite amplitude, surface tension, side walls (causing 3D surface deformation) etc.Under a certain condition a soliton-like behavior is observed in spite of the high viscosity: two solitary waves are seen to collide elastically. This phenomenon arises in the situation which is opposite to that of so-called water waves where the bulf flow is governed by Euler equation.
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© 2006 Committee for Mechanics and Structure,Science Council
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