To take this course it is necessary to have completed the course on Solid and Fluid Mechanics scheduled for the second year.

The Fluid Mechanics course aims to provide students with a deep understanding of the fundamental principles that govern the behavior of fluids. Objectives include gaining knowledge of fluid kinematics, conservation laws (mass, momentum, and energy), as well as the ability to apply dimensional analysis to simplify problem solving. The course aims to train students to analyze and solve practical problems related to fluid flow in various engineering contexts.

Introductory course to the theory of fluid mechanics. The course starts presenting basic kinematic concepts. The Reynolds transport theorem will then be used to deduce the conservation, or Navier-Stokes, equations (continuity, momentum and energy), which will be applied in integral form to the analysis of simple problems. Finally, there will be an introduction to dimensional analysis, including the Pi theorem and the concept of physical similarity, with simple applications that motivate its usefulness. Introduction to Fluid Mechanics Fluids vs. solids Continuous medium approximation Fluid properties Local thermodynamic equilibrium Fluid Kinematics Description of fluid motion streamlines trace lines Trajectory and path Fluid lines, fluid surfaces, and fluid volumes Reynolds Transport Theorem Law of Conservation of Mass Concept and formulation Practical applications Law of Conservation of Momentum Basic formulation External forces acting on a fluid volume Surface forces Body forces Practical applications Energy Conservation Law Energy conservation principle Work of external forces acting on a fluid volume Practical applications Dimensional analysis Basic concepts and fundamentals The Pi or Vaschy-Buckingham theorem Physical similarity Applications to fluid mechanics