2019 Volume 75 Issue 1 Pages 37-46
We need to consider a velocity dependent contact angle (dynamic contact angle) in the analysis of the liquid penetration in a capillary tube. In this study, a velocity dependent capillary pressure (dynamic capillary pressure), which assumed that a linear relationship between the dynamic capillary pressure and the penetration velocity of liquid, was defined. Next, the analytical solution using the governing equation, which is formulated on the basis of dynamic balance of the force regarding the liquid penetration in a vertical capillary tube, was derived. Furthermore, the accuracy of the proposed dynamic mechanism and the adequacy of the approximation of the proposed analytical solution were confirmed by the result that good agreement between the proposed analytical result and the experimental result is obtained.
