| Аннотацiя: | This study investigates an analytical solution to the problem of the surface levelling of viscous liquids under the influence of surface tension forces, focusing on the smoothing of plastic surfaces subjected to thermal energy treatment. This study aims to extend Orchard’s formula to axisymmetric surface irregularities and develop an analytical model for predicting levelling time, thereby ensuring efficient process control in thermal treatment applications. The tasks included deriving an analytical solution for axisymmetric levelling, validating it against numerical simulations in LS-DYNA, and incorporating the viscosity variation across the liquid layer. The methods involved analytical formulation and numerical simulation of surface evolution considering different initial surface geometries and viscosity distributions. Validation against numerical results demonstrated high accuracy for moderate and thick liquid layers ( ) and initial surface amplitudes up to 40% of the characteristic radius. Followin |
