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Solid cylinder with viscous filling on rough planeстатья
- Автор: Marat Dosaev
- Сборник: PHYSCON 2013. CD
- Год издания: 2013
- Место издания: San Luis Potosi, México
- Аннотация: We constructed the mathematical model of motion of a cylinder that has axisymmetric cavity filled by viscous filling. The cylinder leans by circle edge upon rough plane. For modeling the internal tangential friction we used the Helmholtz equations for the vortex components for the uniform vortex motion of ideal fluid. The terms corresponding to internal friction moment are phenomenologically introduced into right-hand sides of the equations expressing the change of momentum for solid body and filling. The examination of dissipativity of the system is performed. Results of numerical simulation of model equations are in qualitative agreement with known experimental data. We suggested the procedure for establishing correspondence between model internal friction coefficient and fluid filling viscosity. Study testifies the necessity of having sufficient experimental data for establishing quantitative correspondence between friction coefficient and fluid filling viscosity.
- Добавил в систему: Досаев Марат Закирджанович