Hydrodynamics and Elasticity
Rok akademicki: 2020/2021
Semestr: zimowy
The theoretical framework known as hydrodynamics and elasticity provides a powerful and complete description of our world at macroscopic scales (i.e., at large spatial and time scales compared to the molecular ones). The macroscopic dynamics of a variety of complex systems, such as biological and soft materials, atmospheric clouds, and the crust of the Earth, poses a formidable challenge for theoretical modeling, in which knowledge of classical hydrodynamics and elasticity is a major prerequisite. This course gives an introduction to the derivation of the basic equations of hydrodynamics and elasticity as well as common methods for their solutions in simple applications. Due to the COVID-19 pandemic, both lectures and tutorials will be online. We will meet weekly via Google Meet according to the schedule published in USOS.
Program:
Bibliography:
Assessment: The final assessment will be based on one test (during the semester) and a written exam (during the exam session). A tentative schedule for examinations is:
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Materiały do zajęć
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[Lecture 12] Boundary layer separation. Introduction to elasticity. Gustavo Abade 19 stycznia 2021 14:15
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[Lecture 9] Group velocity and capillary waves. Navier-Stokes equations. Gustavo Abade 15 grudnia 2020 14:15
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[Class 7] Flow Past Zhukovsky Airfoil, Milne-Thomson's Theorem and Surface Waves Daniel Albuquerque 3 grudnia 2020 09:15
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[Class 6] Complex Potentials, Cylinder with Circulation and Virtual Mass of a Sphere Daniel Albuquerque 26 listopada 2020 09:15
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[Lecture 7] Potential flow around a flat plate. Gravity waves on free-surfaces. Gustavo Abade 1 grudnia 2020 14:15
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[Lecture 5] Vorticity equation for ideal fluid, Kelvin circulation theorem, Bernoulli equations, flow around a circular cylinder Gustavo Abade 17 listopada 2020 14:15
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[Class 3] Transport of material integrals and balance equations Daniel Albuquerque 29 października 2020 09:15
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[Class 1] Vector and tensor identities Gustavo Abade and Daniel Albuquerque 15 października 2020 09:15; on-line,
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