Courses

Basic concepts and properties of fluids (density, pressure, tension, compressibility, viscosity, etc.). Fluid statics and applications (balance of forces in a fluid at rest, pressure change, buoyancy force and Archimedes' Principle, Pascal's Principle). Fluid kinematics (description of motion according to Lagrange and Euler, total derivative, velocity field, acceleration field, pressure field, trajectories and streamlines, circulation, volumetric flow, turbulent flow and the concept of velocity potential). Analysis of fluid motion (translation, rotation, linear and angular deformation) in various coordinate systems. Boundary conditions, the no-slip condition for real fluids. The continuity equation and the concept of the stream function. Complex potential and applications. Equations of motion for ideal fluids and their integrals (Euler's equations, Bernoulli's law, Torricelli's law, Lagrange's theorem) and applications. The Navier-Stokes equations of motion for real fluids and their applications: Couette flow, Hagen-Poisseuille flow, etc.