SOLID CYLINDER WITH VISCOUS FILLING ON ROUGH PLANE
The mathematical model of motion of cylinder having axisymmetric cavity filled by viscous filling and leaned by circle edge onto rough plane is constructed. The Helmholtz equations for the vortex components for the uniform vortex motion of ideal fluid are used for modeling the internal tangential friction. The terms corresponding to internal friction moments are phenomenologically introduced to right-hand sides of the equations expressing the change of momentum for solid body and filling.
The verification of dissipativity of system is performed.
Results of numerical simulation of model equations are in qualitatively agreement with known experimental data
The procedure is suggested for correspondence between model internal friction coefficient and fluid filling viscosity. Study testifies to the effect of necessity of enough experimental data for quantitative correspondence between friction coefficient and filling viscosity.