The Moving Contact Line

by Shih-An Yang, Natl Cheng Kung Univ, Tainan, Taiwan,
Allen T. Chwang, Natl Cheng Kung Univ, Tainan, Taiwan,



Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond

Abstract:

The flow field around the moving contact line, generated by an impulsive, horizontal motion of a vertical plate, is studied numerically. The two-dimensional, unsteady Navier-Stokes equations, coupled with the kinematic and dynamic boundary conditions at the free surface, are solved. The contact angle between the free surface and the vertical plate is found to be very close to that formed by the free surface of a fluid contained in a rectangular tank which moves with the same constant acceleration. The velocity of the moving contact line is thereby derived as a function of the acceleration of the plate based on the principle of the conservation of mass.

Subject Headings: Navier-Stokes equations | Plates | Fluid flow | Free surfaces | Fluid velocity | Fluid mechanics | Numerical methods

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