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# 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.

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

The exam may be repeated at the end of the semester.

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