The course is intended particularly for students who deal with continuum fluid modeling within their dissertation. The course deepens student's knowledge of hydrodynamics: - Physical properties of fluids: solid phase, liquids, gases, continuum, characteristic properties of gases and liquids, surface phenomena and surface tension - Momentum transport under different flow conditions: diffusion and convective momentum transport in fluid flow, viscosity of gases and liquids, comparison of diffusion and convective mechanisms, description of various flow regimes - Viscous fluid dynamics: surface forces, equations of fluid motion, boundary conditions for fluid flow, non- Newtonian fluids, 1D viscous flow of Newtonian and non-Newtonian fluids, equations of motion in different coordinate systems - Potential flow: definitions, properties and examples of potential flow, forces acting on a barrier in potential flow, linear waves on surface of ideal fluid - Vorticity: definition, concept of vorticity, dynamics of vorticity, rotating fluid, formation of secondary flows - Fluid flow at small Reynolds number: introduction, Stokes equation, forces and torques acting on a moving rigid body, velocity field around a moving sphere, constraints on Stokes flow description, suspension dynamics, flow in porous structures - Boundary layer: flow near the planar plate, Prandtl's theory, velocity profiles in boundary layer, boundary layer separation, aerodynamics and boundary layer, boundary layer and mass and heat transport - Turbulence: introduction, basic turbulent flow equations, statistical description of turbulence, Reynolds equations, homogeneous and isotropic turbulence, Kolmogor's theory, turbulence scales, boundary layer, other aspects of turbulence
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