Course: 2022/2023

Advanced concepts of Fluid Mechanics

(18436)

Requirements (Subjects that are assumed to be known)

Linear Algebra, Calculus I, Physics I, Calculus II, Physics II, Thermal Engineering, Engineering Fluid Mechanics

By the end of this subject, students will be able to have:
1. A systematic understanding of the key aspects and concepts of fluid mechanics for its rigorous application to egineering problems.
2. The ability to apply their knowledge and understanding to identify, formulate and solve problems of fluid mechanics using established methods.
3. The ability to select and apply relevant analytic and modelling methods in fluid mechanics.
4. An understanding of approximation methods in fluid mechanics, and the ability to use them to solve engineering problems.
5. Skills to effectively find and use appropriate bibliographical sources of scientific and technical nature in the different fields of fundamental and applied fluid mechanics.
6. Ability to combine theory and practice to solve fluid mechanics problems.
7. An understanding of applicable techniques and methods in fluids engineering and of their limitations.

Skills and learning outcomes

Description of contents: programme

CHAPTER 1. Kinematics. Motion around a point. Vorticity. Rate-of-strain tensor. Divergence.
CHAPTER 2. Conservation equations in differential form. The mass conservation equation. Stream function. Volume and surface forces. The stress tensor. Navier-Poisson law. The momentum equation. Perfect liquids. Heat conduction and Fourier's law. Total energy, kinetic energy and internal energy equations. Enthalpy and entropy equations. The Navier-Stokes equations. Initial and boundary conditions.
CHAPTER 3. Unidirectional motion. Steady flow: Couette, Hagen-Poiseuille and Poiseuille flows. Transient flow: Rayleigh and Stokes flows. Quasi-steady flow.
CHAPTER 4. Lubrication theory. Flow in slender channels and thin films dominated by viscous forces. The Reynolds equation. Applications.
CHAPTER 5. Flow at high Reynolds numbers. Internal and external ideal flow. Boundary layer theory. Separation. Integral methods.

Learning activities and methodology

The teaching methodology will incluye: 1. Lectures: The students will be provided with lecture notes and recommended bibliography. 2. Problem solving sessions, related with the course topics. 3. Homework problems aiming at student self-evaluation. 4. Development and interactive presentation of guided works, including four lab session as direct application of theory.

Assessment System

- % end-of-term-examination 60
- % of continuous assessment (assigments, laboratory, practicals...) 40

Basic Bibliography

- A. Crespo y J. Hernández. Problemas de mecánica de fluidos y máquinas hidráulicas. Cuadernos de la UNED. 1996
- Antonio Crespo Martínez. Mecánica de Fluidos. Thomson. 2006
- D. J. Acheson. Elementary fluid dynamics. 1990. Clarendon Press
- J. H. Spurk. Fluid mechanics: Problems and Solutions. Springer Verlag. 1997
- J.M. Gordillo, G. Riboux, J.M. Fernández. Introducción a la mecánica de fluidos. Paraninfo. 2017
- M. Vera, I. Iglesias, A.L. Sánchez y C. Martínez. Igeniería Fluidomecánica. Paraninfo. 2012

The course syllabus may change due academic events or other reasons.