University of Warsaw, Faculty of Physics - Central Authentication System

Hydrdynamics and elasticity

General data

Course ID:	1100-4HaE
Erasmus code / ISCED:	13.2 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0533) Physics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Hydrdynamics and elasticity
Name in Polish:	Hydrodynamics and elasticity
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" (in Polish) Physics (Studies in English); 2nd cycle (in Polish) Przedmioty do wyboru dla doktorantów; (in Polish) Przedmioty obieralne na studiach drugiego stopnia na kierunku bioinformatyka Astronomy (1st level); Elective courses Astronomy, individual path; elective courses Physics (1st level); elective courses Physics (2nd cycle); courses from list "Selected Problems of Modern Physics" Physics, 2nd level; Geophysics Physics, 2nd level; Mathematical and Computer Modeling of Physical Processes Physics, 2nd level; Theoretical Physics
ECTS credit allocation (and other scores):	7.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.
Language:	English
Main fields of studies for MISMaP:	mathematics physics
Mode:	Classroom
Short description:	(in Polish) The theoretical framework known as hydrodynamics and elasticity provides a powerful and complete description of our world at macroscopic scales (i.e, at large scales and long times compared to the molecular scales). 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 introduces the basic equations of hydrodynamics and elasticity and methods of their solution. • We discuss the physics of everyday phenomena • We provide a uniform mathematical framework to describe flow and deformation • We show numerous real-life applications and examples
Full description:	(in Polish) The course will cover a range of topics, such as: 1. Continuum description of matter, conservation laws and fundamental equations - Navier-Stokes and friends; 2. Hydrostatics: pressure, lift force, stability, ships and balloons 3. Inviscid flows: Euler equations, potential flows, lift force, d'Alembert paradox 4. Viscous flows: Why do planes fly? Boundary layer and explanation of aerodynamic lift. Low-Reynolds numbers and the Aristotelian world. Swimming of microorganisms; 5. Flows with a twist: Vortices – bathtub vortex versus tornado. 6. Elasticity theory: Stress and deformation, bending and twisting of shafts rods, microtubules, and DNA. 7. Waves: Shallow- and deep-water, capillary waves and tsunamis; seismic waves.
Bibliography:	(in Polish) 1. B. Lautrup, Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World. 2. D.J. Acheson, Elementary fluid dynamics. 3. L. D. Landau and E. M. Lifshitz, Fluid mechanics. 4. L. D. Landau, L. P. Pitaevskii, A. M. Kosevich, and E.M. Lifshitz, Theory of elasticity. 5. S. C. Hunter, Mechanics of continuous media.
Learning outcomes:	1. Knowledge After completing the course, the student: – knows and understands the basic concepts and laws of hydrodynamics and elasticity theory, in particular the continuous description of material media, the concept of stress and strain tensors, and conservation laws, – know and understand the derivation and meaning of the equations governing fluid flow (Euler and Navier–Stokes equations) and the deformation of elastic bodies, – know and understand the role of symmetry, boundary conditions and material parameters in the description of hydrodynamic and elastic phenomena, – knows and understands typical analytical solutions and their scope of applicability in the physics of continuous systems. 2. Skills After completing the course, the student: – is able to write down and analyse equations of hydrodynamics and elasticity theory for simple physical systems, – will be able to solve elementary boundary problems concerning fluid flow and deformation of elastic bodies using analytical methods, – will be able to interpret the physical meaning of the solutions obtained and assess their correctness and limitations, – will be able to use mathematical apparatus (tensor calculus, differential equations) to describe phenomena in continuous media. 3. Social competences After completing the course, the student: – is ready to independently deepen their knowledge of hydrodynamics and elasticity theory and use it in further education or research work, – is ready to critically analyse simplifications of theoretical models and responsibly apply them to describe real-life phenomena. – is ready to cooperate in solving physics problems and to clearly communicate the results of their reasoning and calculations
Assessment methods and assessment criteria:	(in Polish) During the semester there will be two mid term exams and homework assignments (every week). The final exam will be given during the final exam period.

Classes in period "Winter semester 2024/25" (past)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Go to timetable MO TU WYK W TH CW FR
Type of class:	Classes, 45 hours more information Lecture, 45 hours more information
Coordinators:	Gustavo Coelho Abade
Group instructors:	Gustavo Coelho Abade, Marta Wacławczyk
Students list:	(inaccessible to you)
Credit:	Examination

Classes in period "Winter semester 2025/26" (past)

Time span:	2025-10-01 - 2026-01-25	Selected timetable range: weekly course term Go to timetable MO TU WYK W TH CW CW FR
Type of class:	Classes, 45 hours more information Lecture, 45 hours more information
Coordinators:	Maciej Lisicki, Piotr Szymczak
Group instructors:	Rafał Błaszkiewicz, Maciej Lisicki, Piotr Szymczak
Students list:	(inaccessible to you)
Credit:	Examination

Course descriptions are protected by copyright.
Copyright by University of Warsaw, Faculty of Physics.