Advanced Fluid Mechanics

BGU41021Master's Modules6 ECTSEnglishwinter semesterProfessur für Hydromechanik (Prof. Manhart)

AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You receive an in-depth introduction to the continuum description of fluids, the derivation and application of balance and momentum equations, as well as analytical solutions of the Navier–Stokes equations. In the end you will be able to explain boundary layer phenomena (laminar and turbulent), flow instabilities, as well as fundamental aspects of turbulent flows and transport processes (advection/diffusion) and apply them to simple technical problems.

What you will be able to do

Explain the continuum concept in fluid mechanics
Understand the structure and meaning of turbulent boundary layers
Master the theory of laminar and temperature boundary layers
Apply mathematical concepts to fluid mechanical questions
Record and use balance and momentum equations
Apply Navier–Stokes equations for incompressible fluids
Apply wall laws for turbulent boundary layers to flow cases
Specify and utilize boundary conditions for momentum and mass transport
Characterize flow fields with streamlines, pathlines, and streaklines
Use deformation and rotation tensor to describe flows
Characterize transport phenomena in turbulent flows (advection/diffusion)
Determine similarity parameters for given systems
Determine characteristic time constants in simple fluid mechanical systems
Estimate forces, pressures or velocities at the boundary of a traversed volume
Discuss properties of turbulent flows
Differentiate types of flow instabilities and laminar–turbulent transition

What the module consists of

LectureCentral conveyance of the content; derivations on the board, supplemented by presentations and examples

Teaching method

Board work and derivationsfor step-by-step derivation and mathematical grounding of the content
Computer presentationsfor visualization and supplementation of the derivations
Discussions and examplesfor context and application of the derived relationships
Voluntary courseworkfor independent application of what was learned to smaller problems and for assessment of learning progress
Voluntary seminar (90 min)joint solving of problem sheets and deepening of the lecture content under moderation

What you should already know

Hydromechanics (BV00013) or equivalent knowledgerecommended
Knowledge of vector and tensor calculusrecommended

Assessment

Written examWritten test

The performance is assessed in a written examination (90 minutes). You work on calculation problems that require the application of classical relations of fluid mechanics (e.g., Navier–Stokes equations, momentum equation, wall law). In addition, nondimensionalization, determination of similarity parameters and characteristic time constants as well as aspects of turbulent transport phenomena, boundary layer theory and flow instabilities should be demonstrated. Allowed aids: a double-sided A4 sheet and a non-programmable calculator.

Exam date16.02. · 14:00–15:300360, Theodor-Fischer-Hörsaal (0503.EG.360)

Reading list

G. K. Batchelor - An Introduction to Fluid Dynamics
I. G. Currie - Fundamental Mechanics of Fluids
P. K. Kundu & I. M. Cohen - Fluid Mechanics
R. L. Panton - Incompressible Flow
D. J. Tritton - Physical Fluid Dynamics
M. van Dyke - An Album of Fluid Motion
S. B. Pope - Turbulent Flows
H. Tennekes & J. L. Lumley - A First Course in Turbulence
H. Schlichting - Boundary-Layer Theory
Skript, Präsentationen und Übungsaufgaben (moodle)

Dates

LectureAdvanced Fluid Mechanics2 groups to choose from

ATue08:00–09:30
0220, Hörsaal m. Exp.-Bühne (0502.EG.220)
15× · 13.10.–02.02.
- 13.10.
- 20.10.
- 27.10.
- 03.11.
- 10.11.
- 17.11.
- 24.11.
- 01.12.
- 08.12.
- 15.12.
- 22.12.
- 12.01.
- 19.01.
- 26.01.
- 02.02.
BMon08:00–09:30
2760, Hörsaal (0507.02.760)
15× · 12.10.–01.02.
- 12.10.
- 19.10.
- 26.10.
- 02.11.
- 09.11.
- 16.11.
- 23.11.
- 30.11.
- 07.12.
- 14.12.
- 21.12.
- 11.01.
- 18.01.
- 25.01.
- 01.02.

SeminarSeminar zur Fluidmechanik3 groups to choose from

AThu13:15–14:45
N1039ZG, Seminarraum (0101.Z1.039)
12× · 29.10.–04.02.
- 29.10.
- 05.11.
- 12.11.
- 19.11.
- 26.11.
- 10.12.
- 17.12.
- 07.01.
- 14.01.
- 21.01.
- 28.01.
- 04.02.
BWed15:00–16:30
2770, Hörsaal (0507.02.770)
15× · 14.10.–03.02.
- 14.10.
- 21.10.
- 28.10.
- 04.11.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.
CMon11:30–13:00
0670ZG, Hör-/Lehrsaal eben o.Exp.Bühne (0506.Z1.670)
15× · 12.10.–01.02.
- 12.10.
- 19.10.
- 26.10.
- 02.11.
- 09.11.
- 16.11.
- 23.11.
- 30.11.
- 07.12.
- 14.12.
- 21.12.
- 11.01.
- 18.01.
- 25.01.
- 01.02.

From the current semester, not binding. You attend one of several groups; the timetable automatically suggests the one with the fewest clashes.

Show TUMonline data

Sprache: Englisch
Turnus: Wintersemester
Modulniveau: Master
Moduldauer: Einsemestrig
Gesamtstunden: 180
Präsenzstunden: 90
Eigenstudiumstunden: 90
Organisationsname: Professur für Hydromechanik (Prof. Manhart)

Courses

Advanced Fluid Mechanics
Seminar zur Fluidmechanik

Official page in TUMonline · Details are not binding.