Continuum Mechanics

Module PH1003 [ThPh BIO]

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

PH1003 is a semester module in German language at Master’s level which is offered in winter semester.

This module description is valid to SS 2015.

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
300 h 90 h 10 CP

Responsible coordinator of the module PH1003 is J. Leo van Hemmen.

Content, Learning Outcome and Preconditions

Content

  1. Kinematics of deformable media (velocity field of a fluid / continuity equation)

  2. Hydrodynamics (stress tensor and viscosity / fundamental equations: Euler & Navier-Stokes / Bernoulli equation / Aerofoil theory / viscosity and Reynolds number / high Reynolds numbers and turbulence / small Reynolds numbers / waves / tsunamis)

  3. Elasticity (stress tensor / energy balance / linear theory of elasticity: Hooke’s law / elastic waves / thin plates)

Learning Outcome

Successful participation provides the following skills:

Understanding hydrodynamics both in a scientific and in a technical context, fundamental equations such as Navier-Stokes, their range of validity, importance of scales and consequences such as the Reynolds number that provides a semi-quantitative criterion to predict laminar flow or turbulence. In addition, one gains an understanding of wave phenomena in elastic media and liquids, incl. surface waves, shallow-water waves and the ensuing tsunami theory.

Preconditions

No preconditions in addition to the requirements for the Master’s program in Physics.

Courses, Learning and Teaching Methods and Literature

Learning and Teaching Methods

Lecture, beamer presentation, blackboard, exercises alone and in small groups, discussion

Media

lecture notes, exercise sheets, web page for the lecture

Literature

* D.J. Acheson, Elementary fluid dynamics
* H. Stephani & G. Kluge, Theoretische Mechanik
* Landau/Lifshitz, Theory of Elasticity (Theoretical Physics 7)

 

Module Exam

Description of exams and course work

The learning ourcome is tested in a written exam using example calculations and comprehension questions.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

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