13440 - Waves and Instabilities in Fluids Modulübersicht

Module Number: 13440
Module Title:Waves and Instabilities in Fluids
  Wellen und Instabilitäten in Flüssigkeiten
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • PD Dr. rer. nat. habil. Borcia, Rodica
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: Every winter semester
Credits: 6
Learning Outcome:After successfully completing the module, students master the foundations of hydrodynamics with regard to theoretical and phenomenological aspects. The topic of the module serves as an example for studying the realization of knowledge and the classification of knowledge within the field of physics.
In addition the module supports further competences as e. g. cooperation ability, carefullness, persistance, curiosity, working on one's own initiative.
Contents:
  1. Hydrodynamic basic equations: Euler, Navier-Stokes, continuity, energy, concentration(s)
  2. Surface waves: Potential flow, deep and shallow water, solitons, Tsunamis, capillary waves
  3. Instabilities: general principles, bifurcation theory, classification
  4. Unstable systems: Kelvin-Helmhotz, Rayleigh-Taylor, convection, mixtures, thin films
Recommended Prerequisites:
  • Basic level knowledge in theoretical physics (Bachelor-level)
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 2 Hours per Week per Semester
  • Exercise / 2 Hours per Week per Semester
  • Self organised studies / 120 Hours
Teaching Materials and Literature:
  • P. K. Kundi, Fluid Mechanics
  • H. Lamb, Hydrodynamics
  • T. E. Faber, Fluid Dynamics for Physicists
Module Examination:Prerequisite + Final Module Examination (MAP)
Assessment Mode for Module Examination:

Prerequisite:

  • Successful completion of exercise assignments (75% must be reached)

Final module examination:

  • Written examination, 90 min.
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • Master (research-oriented) / Angewandte Mathematik / PO 2008
  • Master (research-oriented) / Angewandte Mathematik / PO 2019
  • Abschluss im Ausland / Informatik / keine PO
  • Master (research-oriented) / Physics / PO 2021
  • Abschluss im Ausland / Physik / keine PO
  • Abschluss im Ausland / Transfers-Fluids-Materials in Aeronautical and Space Applications / keine PO
  • Master (research-oriented) / Transfers-Fluids-Materials in Aeronautical and Space Applications / PO 2019
Remarks:
  • Study programme Physics M.Sc.: Compulsory elective module in complex „Physical Specialization with theoretical focus“, topic area „Theory, Simulation and further topics“
  • Study programme Applied Mathematics M.Sc.: Compulsory elective module in complex „Applications“, field  „Physics“
Module Components:
  • Lecture: Waves and Instabilities in Fluids
  • Accompanying exercise
  • Related examination
Components to be offered in the Current Semester:
  • no assignment