Kizilova N. Investigation of wave and stationary flows of liquid in the branching systems of tubes with complicated properties

The thesis is devoted to modeling of stationary and wave flows of liquids in the complex systems of elastic and viscoelastic tubes with multi-layered impenetrable and permeable walls at different geometry and topology of the system, boundary conditions and flow regimes. Wave propagation in thick walled fluid filled viscoelastic tubes is studied at different wave reflection conditions. Stability of the stationary viscous flow through a multi-layered viscoelastic tube is investigated and possibility of the system stabilization at different boundary conditions and flow regimes is proved. Some regularity in wave reflections in the systems of tubes leading to the sucking and quasiresonant effects are revealed. It is related to the increase of efficiency of the system as a pipeline and waveguide. A model of fluid filtration in the microcirculatory cell presented by a system of ducts with permeable walls and a continuous porous medium is developed accounting to osmotic phenomena. It is shown that the optimal transport system can be formed in the growing biological continuous media due to close interaction between the fluid delivery and growth processes.