SubjectsSubjects(version: 945)
Course, academic year 2023/2024
   Login via CAS
Hydrodynamics - NMET034
Title: Hydrodynamika
Guaranteed by: Department of Atmospheric Physics (32-KFA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:3/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: RNDr. Petr Šácha, Ph.D.
Classification: Physics > Meteorology and Climatology
Is incompatible with: NMET523
Is interchangeable with: NMET523
Annotation -
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (02.09.2021)
An introduction to the fluid statics, kinematics and dynamics. The students are introduced to general laws and analytical methods of a flow description and test their utilization on concrete simplified problems.
Aim of the course -
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (02.09.2021)

The aim of the course is an understanding of analytic formulations of fluid mechanics and their application as effective solution methods of nontrivial problems.

Course completion requirements -
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (02.09.2021)

Knowledge according to syllabus.

Literature -
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (02.09.2021)

Badin, G., & Crisciani, F. (2018). Variational formulation of fluid and geophysical fluid dynamics. Mech. Symmetries Conservation Laws.

Batchelor, C. K., & Batchelor, G. K. (2000). An introduction to fluid dynamics. Cambridge university press.

Brdička M., Samek L., Sopko B. (2000): Mechanika kontinua, Academia.

Shepherd, T. G. (1990). Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics. In Advances in Geophysics (Vol. 32, pp. 287-338). Elsevier.

Vallis, G. K. (2017). Atmospheric and oceanic fluid dynamics. Cambridge University Press.

Teaching methods -
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (02.09.2021)

Course and exercise.

Requirements to the exam -
Last update: AR/MFF.CUNI.CZ (09.04.2008)

Knowledge according to syllabus.

Syllabus -
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (02.09.2021)

History and state-of-the-science of the fluid mechanics; types of fluids, forces; hydrostatics and hydrostatic balance.

Fluid kinematics, Lagrangian and Eulerian description of the flow; streamlines and trajectories; continuity equation; material derivative.

Conservation laws and symmetry methods in fluid mechanics.

Closed set of equations; initial and boundary conditions; Newtonian fluid; viscosity; Navier-Stokes equations; ideal fluid; Euler equations; rotational and potential flow; Bernoulli equation and Kelvin’s circulation theorem.

Geophysical fluid dynamics; non-inertial frame and Coriolis effect.

Waves, linear wave theory, stability analysis and introduction to the wave-mean flow interaction theory.

Flow energy and transport and energy and momentum in the flow.

The turbulence.

Charles University | Information system of Charles University |