Advanced Mathematics Fluid Mechanics I Fluid Mechanics II

Fundamental and applied knowledge of Aerodynamics. Fundamental and applied knowledge of the simplified laws that govern the fluid motion around aerodynamic bodies. Fundamental and applied knowledge of the principles that allow the prediction of forces and moments on bodies moving through a fluid. In particular, generation of lift, drag and moments on airfoils (incompressible, subsonic and supersonic regimes) and wings (incompressible regime).

CB2: Students are able to apply their knowledge to their work or vocation in a professional manner and possess the competences usually demonstrated through the development and defence of arguments and problem solving within their field of study. CB5: Students will have developed the learning skills necessary to undertake further study with a high degree of autonomy. CG5: Ability to carry out projection activities, technical management, expert appraisal, drafting of reports, opinions, and technical advice in tasks related to Aeronautical Technical Engineering, the exercise of genuinely aerospace technical functions and positions. CG9: Ability to analyse and solve aerospace problems in new or unknown environments, within broad and complex contexts, integrated in multidisciplinary and international work teams. CG10: Ability to use computational and experimental tools for the analysis and quantification of engineering problems. CE.CRA13: Applied knowledge of: the science and technology of materials; mechanics and thermodynamics; fluid mechanics; aerodynamics and flight mechanics; navigation and air traffic systems; aerospace technology; theory of structures; air transport; economics and production; projects; environmental impact. RA1: Have basic knowledge and understanding of mathematics, basic sciences, and engineering within the aerospace field, including: behaviour of structures; thermodynamic cycles and fluid mechanics; the air navigation system, air traffic, and coordination with other means of transport; aerodynamic forces; flight dynamics; materials for aerospace use; manufacturing processes; airport infrastructures and buildings. In addition to a specific knowledge and understanding of the specific aircraft and aero-engine technologies in each of the subjects included in this degree. RA2: Be able to identify aerospace engineering problems, recognise specifications, collect and interpret data and information, establish different resolution methods and select the most appropriate among the available alternatives. RA3: Be able to carry out designs in the field of aerospace vehicles, propulsion systems, navigation and air traffic control, airport infrastructures, or equipment and materials for aerospace use, which comply with the required specifications, collaborating with other engineers and graduates. RA4: Graduates will be able to carry out initial research methods approaches commensurate with their level of knowledge involving literature searches, design and execution of experiments, data interpretation, selection of the best proposal and computer simulation. RA6: Have the necessary skills for the practice of engineering in today's society.

Introduction to Aerodynamics. Incompressible, subsonic, transonic, supersonic and hypersonic regimes. Potential flow, linearization. The Kutta-Joukowski theorem and D'Alambert's paradox. Incompressible flow over airfoils. The vortex sheet. The Kutta condition. Kelvin's circulation theorem and the starting vortex. Assymetric and symmetric linearized problems. The aerodynamic center. Drag, stall and high-lift devices. Incompressible flow over finite wings. The Biot-Savart law. Prandtl's lifting line theory. Effect of the aspect ratio. Linear theory of subsonic compressible flows. Prandtl-Glauert correction. Other compressibility corrections. Critical Mach number, Mach Divergence and the area rule. Supercritical airfoils. Supersonic airfoils. Linearized potential theory.

Theory sessions. Problem sessions working individually and in groups. Lab-sessions with specific software.