Course: 2020/2021

Advanced topics in fluid mechanics

(16158)

Students are expected to have completed

Engineering Fluid Mechanics

- Use of the conservation equations in their integral and differential form to solve relevant mechanical engineering problems.
- Use of dimensional analysis and nondimensionalization of the governing equations to simplify the mathematical models of fluid flow in a systematic and rational way.

Description of contents: programme

- Introduction. Basic concepts and hypotheses (continuum medium, local thermodynamic equilibrium, etc.).
- Kinematics of the flow field.
- Conservation equations in integral and differential form.
- Dimensional analysis. Similarity solutions.
- Laminar unidirectional and quasi-unidirectional flows in ducts and pipes.
- Low-Reynolds-number flows and hydrodynamic lubrication theory.
- High-Reynolds-number flows. Ideal flow.
- Boundary layer theory.
- Introduction to hydrodynamic stability and transition to turbulence.

Learning activities and methodology

- Seminars, including explanations of the basic theoretical aspects of the different subjects, as well as solutions to basic problems to illustrate the underlying theory (2 ECTS).
- Take-home exams, in which the student has to develop the solution to more complex problems demanding more time that a single lecture (2 ECTS).
To successfully solve the proposed problems, the student will use all the tools explained in the previous seminars.

Assessment System

- % end-of-term-examination 50
- % of continuous assessment (assigments, laboratory, practicals...) 50

Basic Bibliography

- Antonio Barrero Ripoll y Miguel Pérez-Saborid Sánchez-Pastor. Fundamentos y Aplicaciones de la Mecánica de Fluidos. McGraw-Hill. 2005
- Antonio Crespo Martínez. Mecánica de Fluidos. Thomson. 2006
- G. K. Batchelor. An introduction to fluid dynamics. Cambridge University Press. 1967
- H. Schlichting. Boundary Layer Theory. McGraw-Hill. 1987
- L. D. Landau y E. M. Lifshitz. Fluid Mechanics. Pergamon Press. 1989
- P. A. Lagerstrom. Laminar Flow Theory. Princeton University Press. 1996
- P. G. Drazin y W. H. Reid. Hydrodynamic Stability. Cambridge University Press. 2004
- S. B. Pope. Turbulent Flows. Cambridge University Press. 2000