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| MECA0025-1 | Fluid Mechanics
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| Duration : | 30h Th, 30h Pr |
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| Credits/ECTS : |
| Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 3rd year |  | First semester |  | 5 |
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| Master in Aerospatial Engineering, in-depth approach, 1st year |  | First semester |  | 5 |
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| Master in Engineering Physics, in-depth approach, 1st year |  | First semester |  | 5 |
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| Master in Aerospace Engineering, Professional Focus (Management), 1st year |  | First semester |  | 5 |
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| Master in Engineering Physics, specialized approach, 1st year |  | First semester |  | 5 |
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| Holder(s) : | Eric Delhez |
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| Language : | French language |
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| Course contents : |
- Kinematics of fluid flows.
- Budget equations (local and integral forms) and associated boundary conditions. Newtonian fluid and Navier-Stokes equations.
- Vorticity dynamics and potential flow.
- Gravity waves, capillarity waves, internal waves. Kelvin-Helmoltz instability.
- Similitude theory and flow regimes.
- Introduction to gas dynamics : rule of forbidden signals in supersonic flows, shock waves.
- Turbulence : characterization, RANS simulations, Taylor theory of turbulent dispersion.
- Dynamics of geophysical fluids : stability, geostrophic flow, Kelvin and Rossby waves.
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| Course objective : | The course provides a rigorous derivation of the mathematical models used in the various fields of application of fluid mechanics. These models and their simplified forms are then used to better understand the underlying physical processes. |
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| Prerequisites : | Knowledge of vector calculus and basic concepts of continuous mechanics. |
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| Workshops : | Exercise sessions during the 1st quadrimester. |
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| Organization : | Takes place during the 1st semester according to the timetable. |
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| Written notes : | Copy of the slides available at http://www.ulg.ac.be/mathgen. (http://www.ulg.ac.be/mathgen" target="_blank
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Reference for the lectures : Fluid mechanics (4th edition) de P.K. Kundu et I.M. Cohen (Academic Press, 2004, ISBN-13: 9780123737359).
Numerous applications are available in Fluid Mechanics de D. Pnueli et C. Gutfinger (Cambridge University Press, 1992, ISBN : 0-521-58797-2). |
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| Assessment : | Written exams in January and in August/September (retake). |
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| Contacts : | Lecturer: Prof. E.J.M. Delhez (http://annuaire.ulg.ac.be/search.html?id=U014613" target="_blank
Assistant : M. D. Vigneron ()Didier.Vigneron@ulg.ac.be) |
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