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Cours scientifiques - MEC_2S006_EP : Waves in Fluids, with illustrations from geophysics

Domaine > Mécanique.

Descriptif

Prerequisites: PHY101, PHY102, PHY201, PHY202

The course provides an introduction to waves in fluids. A necessary first step is to derive a minimal set of equations for fluid motions. In consequence, the course constitutes a partial introduction to fluid mechanics, restricted to inviscid fluids. One goal of the course is to demonstrate how one proceeds to obtain wave solutions starting from a physical description of a system and its equations of motion. Two families of waves are derived and examined in detail: acoustic waves and surface gravity waves. These serve to discuss key notions regarding waves: the methodology to obtain wave solutions, the dispersion relation and its implications, the phase and group velocity, the polarization relations. The above constitutes the core of the course. In complement and as openings to other topics, the three last sessions discuss nonlinearity, different families of waves present in the atmosphere and ocean, and propagation into an inhomgeneous medium.

At the end of the course, the students will understand how to obtain, in a given system, wave solutions if they exist, and how to characterize a family of waves. The illustrations, for acoustic waves and for geophysical waves, will have introduced general culture elements regarding music and musical  instruments, and certain oceanic and atmospheric motions.

Diplôme(s) concerné(s)

Parcours de rattachement

domaines Saclay

ODD 7 Energie propre et d’un coût abordable.

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Vous devez avoir validé l'équation suivante : UE MEC_2F001_EP Et UE PHY_2F002_EP Et UE MEC_1F001_EP Et

Format des notes

Numérique sur 20

Littérale/grade américain

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Vos modalités d'acquisition :

Evaluation for this course will be made through:

- During the course, tests using multiple choice questions (MCQ) will be carried out, providing 40 % of the final grade;

- A final written exam, lasting 2 hours and without any documents, will provide 60 % of the grade.

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 10)
    L'UE est acquise si Note finale >= 10
    • Crédits ECTS acquis : 3 ECTS

    La note obtenue rentre dans le calcul de votre GPA.

    Pour les étudiants du diplôme Programmes d'échange internationaux

    Vos modalités d'acquisition :

    Evaluation for this course will be made through:

    - During the course, tests using multiple choice questions (MCQ) will be carried out, providing 40 % of the final grade;

    - A final written exam, lasting 2 hours and without any documents, will provide 60 % of the grade.

    Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 10)
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