Modelling the Dynamics of Wetting of an Absolutely Rigid Tank Using the Particles Method

This work examines a model consisting of two systems of particles, those of liquid and of a tank wall. The tank is not deformed, and its particles are stationary. The liquid particles move in a plane under the action of forces. Each liquid particle interacts with each tank wall particle. The system of liquid particles “wets” the surface of the tank if it is close enough to the system of tank wall particles. The norm of proximity of the two systems is called the degree of wetting. A dynamic process of the liquid particle transfer from the initial to the final state is studied in this work. In the initial state, the system of liquid particles is arbitrarily positioned relative to the particles of the tank wall. In the final state, liquid particles transfer to the nearest neighbourhood of the tank wall particle system and “wet” it. The problem is considered in a two-dimensional formulation. The particle is a material point with a set power characteristic, and a liquid particle is associated with a drop. The analysis of the transfer process is a droplet dynamics problem. The equations of dynamics of the liquid particles are integrated using Runge-Kutta method. The solution converges quickly with regard to particle numbers.

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