Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

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

Guarantor:	doc. RNDr. Petr Šácha, Ph.D.
Teacher(s):	Mgr. Hynek Bednář, Ph.D. RNDr. Zuzana Procházková doc. RNDr. Petr Šácha, Ph.D.
Classification:	Physics > Meteorology and Climatology
Is incompatible with:	NMET523
Is interchangeable with:	NMET523

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

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.

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

Aim of the course -

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

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

Course completion requirements -

Knowledge according to syllabus.

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

Literature -

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.

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

Teaching methods -

Course and exercise.

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

Requirements to the exam -

Knowledge according to syllabus.

Last update: AR/MFF.CUNI.CZ (09.04.2008)

Syllabus -

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.

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