Checking date: 14/06/2022

Course: 2024/2025

Fluid Dynamics
Master in Mathematical Engineering (Plan: 460 - Estudio: 88)

Coordinating teacher: SANCHEZ FERNANDEZ, LUIS RAUL

Department assigned to the subject: Physics Department

Type: Compulsory
ECTS Credits: 6.0 ECTS


Requirements (Subjects that are assumed to be known)
No prior knowledge is mandatory
The students are expected to acquire a basic knowledge of the fundamental laws of the mechanics of fluids in both incompressible and compressible regimes, and of their application.
Skills and learning outcomes
Description of contents: programme
The continuum hypothesis. Definition of thermodynamic properties. Gas models. Fluid kinematics. Eulerian and Lagrangian coordinates. Local and material derivative. The Reynolds transport theorem. Continuity equation. Momentum equation and definition of the stress tensor. Energy equation. First thermodynamic principle. The Bernoulli┬┐s principle. Fluid statics. Stevino's law. Hydrostatics. Forces on immersed bodies. Non-dimensional version of the Navier-Stokes equations. The Buckingham PI theorem. Relevant non-dimensional numbers in fluid mechanics. Boundary Layers Irrotational motion. Velocity potential. Stream function. Plane potential flow. The complex potential. Superposition of elementary solutions. Flow over a cylinder. The Mach number. Flow regimes. Total thermofluiddynamic properties. Steady and unsteady normal shock waves. Oblique shock waves. Expansion waves: the Prandtl-Meyer relation. Introduction to fluid dynamic stability. Kelvin-Helmholtz, Rayleigh-Taylor and Richtmyer-Meshkov instability. Introduction to fluid turbulence.
Learning activities and methodology
Theory sessions. Problem sessions working individually and in groups. Lab-sessions.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40
Calendar of Continuous assessment
Basic Bibliography
  • Anderson, J. D. Modern compressible flow. McGraw-Hill. 1990
  • Shapiro, A. H. The Dynamics and Thermodynamics of Compressible Fluid Flow, Vol I and II. John Wiley & Sons. 1953
Additional Bibliography
  • Hodge B. K. & Koenig E K.. Compressible Fluid Dynamics: With Personal Computer Applications. Prentice Hall College Div. 1995

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