Geometric interpretation of modeling calculation of cylinders axial vibration effect on transfer of viscous incompressible fluid

Abstract

Abstract The transfer of viscous incompressible fluid between contacting cylinders is influenced by a large number of factors that can be investigated by numerical simulation based on the use of the most complete mathematical models. One of the factors affecting the transfer of viscous fluid between the contacting cylinders is the axial vibration of one of the cylinders. At the same time, experimental studies cannot be performed to the full because of the inaccessibility and complexity of monitoring fast processes. Along with a number of other factors, a mathematical model was developed and applied for the numerical study of the effects of axial vibrations (oscillations) on the indicators characterizing the transfer of a viscous incompressible fluid on the test example in a two-dimension setting. The practical implementation of the computer geometric modeling algorithm is shown. A computer visualization of the calculation data on viscous incompressible fluid transfer between the rotating cylindrical surfaces on the example of the printing system is presented.