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402-0234-00L 8 Credits BSC , MSC D-PHYS
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Mechanics of Continua

Kontinuumsmechanik

Lecturers: Prof. Dr. Vadim Geshkenbein
Examiners: Prof. Dr. Vadim Geshkenbein, Prof. Dr. Thomas Kurt Gehrmann
VVZ CR n/a

Last Updated: 2026-02-05 15:29:44

Abstract

Mechanics of Elastic Media and Hydrodynamics: Strain and stress tensor, field equations, equilibrium, waves and oscillations. Dynamics of fluids, Euler and Navier-Stokes equations, Bernoulli equation, vortices, gravity waves, potential flows, airfoils. Viscous fluids, Reynolds number, Stokes drag, boundary layers, instabilities, turbulence, Kolmogorov scaling.

Objective

Knowledge of the essential concepts and methods of theoretical mechanics of elastic media and hydrodynamics. Consolidation through examples and solution of exercise problems.

Content

Introduction to the concepts and methods of theoretical mechanics of elastic media and hyrdodynamics: relation between strain and stress tensor, balance equations, field equations of elastic media, elastostatics, waves and oscillations, lattice dislocations and plastic deformation. Dynamics of fluida, Euler equations of ideal fluida, Navier-Stokes equations of real fluida, Bernoulli equations, vortex theorems of Thomson and Helmholtz, dynamics of vortices, oscillation and waves in fluida, surface waves, two-dimensional potential flow, circulation, Magnus force, theorem of Kutta and Zhukovski, flow around profiles (cylinder, platte, aerofoil), Kutta condition. Incompressible viscos fluida, Reynolds number, Hagen-Poisseuille flow, Stokes law, Prandtl's boundary layer, Couette flow and Taylor instability. Turbulence, instability of laminary flows, Reynolds equations, development of turbulence, Kolmogorov scaling.

General Information

Language
English
Levels
BSC , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 40 minutes
Quantenmechanik I: Prüfungssprache DeutschKontinuumsmechanik: Prüfungssprache Englisch

Course Components

Type Title Time & Place Hours
lecture Kontinuumsmechanik
  • Tue 10:45-12:30 (HPV G 5)
  • Thu 13:45-14:30 (HPV G 5)
3 h weekly
exercise Kontinuumsmechanik
  • Tue 12:45-14:30 (HPP H 1)
  • Wed 13:45-15:30 (HPP G 6)
  • Thu 08:45-10:30 (HCI H 8.1)
  • Thu 14:45-16:30 (HCI D 2)
  • Thu 14:45-16:30 (HPP G 5)
2 h weekly

Offered In