SubjectsSubjects(version: 875)
Course, academic year 2020/2021
Hydrodynamics - NMET034
Title: Hydrodynamika
Guaranteed by: Department of Atmospheric Physics (32-KFA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017 to 2020
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:3/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: RNDr. Aleš Raidl, Ph.D.
Classification: Physics > Meteorology and Climatology
Annotation -
Last update: T_KMOP (18.04.2001)
Elements of ideal and real fluids motion. Applications in atmospheric physics are emphasized in the lecture.
Aim of the course -
Last update: AR/MFF.CUNI.CZ (04.04.2008)

Purpose of the lecture is acquainting with elements of fluid motion kinematics and dynamics.

Course completion requirements - Czech
Last update: RNDr. Aleš Raidl, Ph.D. (08.06.2019)

Předmět je zakončen ústní zkouškou. Zkouší se probraná látka odpovídající sylabu předmětu.

Literature - Czech
Last update: T_KMOP (09.05.2004)

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

2) Batchelor G.K. (2000): An Introduction to Fluid Dynamics, Cambridge University Press

3) Landau, L.D., Lifšic, E.M. (1986): Gidrodinamika, Nauka

4) Cushman-Roisin, B. (1994): Introduction to Geophysical Fluid Dynamics, Prentice-Hall

Teaching methods -
Last update: AR/MFF.CUNI.CZ (04.04.2008)

Course and exercise.

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

Knowledge according to syllabus.

Syllabus -
Last update: T_KMOP (09.05.2004)
1. Basic notations
Lagrangian and Eulerian specification of flow field, trajectory and streamline, stream function and velocity potential, Euler and viscous fluid, barotropic and baroclinic fluid, convergent (divergent) and confluent flow.

2. Close set of hydrodynamic equations
Equations (eq.) of motion, eq. of continuity, thermodynamic eq., eq. of state, form of the eqs. in different coordinate systems. Initial and boundary conditions.

3. Analysis and simplifications of hydrodynamic eqs.
Scale analysis, Rossby and Ekman numbers, special types of flow, fluid in hydrostatic equilibrium, Boussinesq's approximation, incompressible fluid.

4. Flow of viscous fluid
Navier-Stokes eqs., laminar and turbulent flow, Newtonian fluid, Stoke's flow, Couette flow, Poiseuille flow, Ekman layer.

5. Circulation and vorticity
Absolute and relative circulation, circulation theorems (Kelvin's and Helmholtz's) and its applications, vorticity eq., potential vorticity, Ertel's eq. of potential vorticity

6. Brief mention on hydrodynamic instability theory and basic types of wave motion.

7. Which was not included yet, but can be mentioned.

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