This invention discloses a method, modeling method,
system, and application for predicting
dynamic contact angle distribution, belonging to the technical field of predicting
dynamic contact angle distribution of micro-protrusions. The method for predicting
dynamic contact angle distribution provided by this invention constructs a joint probability density function of horizontal distance and
height difference based on the normal
distribution law of the horizontal distance and
height difference between adjacent micro-protrusions on a
rough surface; derives the probability density function of the static micro-protrusion
contact angle through integral transformation and Leibniz's differentiation rule; derives the first and second relations through cyclic load experiments; and constructs a probability density
function model of the dynamic
contact angle based on the first and second relations and the probability density function of the static
contact angle. By integrating the
static model and the dynamic relations, it achieves the prediction of contact angle distribution under different cycles, adapting to the evolution of contact characteristics under varying loads, and effectively solving the problem that traditional static models cannot reflect the dynamic evolution of the contact angle under cyclic loads.