ANALYSIS OF CAPILLARY RISE CONSIDERING INFLOW PHENOMENON IN CAPILLARY TUBE

Abstract

 The inflow behavior of liquid into the branching of the capillary can be related to the capillary phenomenon. To elucidate the fundamental behavior of liquid flowing into the branching of the capillary, this paper considers the contact between the vertical capillary and the horizontally moving liquid surface and defines an inflow phenomenon of liquid into the capillary. Additionally, this paper assumes that the inflow phenomenon of liquid into the capillary occurs before the capillary phenomenon and defines a time region related to each phenomenon. In each time region, a governing equation in terms of capillary rise considering these effects is derived by the balance of pressures or forces, and a mathematical solution is derived by solving a first-order ordinary differential equation. The adequacy of the proposed mathematical solution is verified by the comparison of the capillary rise dynamics between the analytical results based on the proposed mathematical solution and the experimental data.