Stefan Schlamp: Catalogue data in Spring Semester 2012

Name Dr. Stefan Schlamp
FieldMolekulare Fluiddynamik
URLhttp://www.ifd.mavt.ethz.ch/research/group_tr/projects/proj_schlamp
DepartmentMechanical and Process Engineering
RelationshipPrivatdozent

NumberTitleECTSHoursLecturers
151-0119-00LMolecular Fluid Mechanics1 credit1GS. Schlamp, T. Rösgen
AbstractTheory, applications, and simulation methods of fluids away from the continuum limit. The focus is on rarefied gases, but applications to micro-fluid mechanics will also be addressed.
ObjectiveFluids are usually treated in the continuum limit. For example, this assumption underlies the Navier-Stokes equations. For certain applications, this is not appropriate; when either the gas becomes so dilute that the molecules' mean-free path is comparable to external length scales (such as for hypersonic flight in the upper atmosphere), or when the external length scales become so small as to approach the molecular length scales (microfluid mechanics).

Students will learn:
- Relationship between the molecular nature of fluids and macroscopic quantities
- Underlying assumptions and approximations of continuum fluid mechanics in general and the Navier-Stokes equation in particular
- Theoretical and numerical approaches to treat non-continuum flows
ContentMolecular description of matter: distribution functions, discrete-velocity gases, relation to macroscopic quantities

Kinetic theory: free-path theory, internal degrees of freedom.

Boltzmann equation: BBGKY hierarchy and closure, H theorem, Euler equations, Chapman-Enskog procedure, free-molecule flows.

Collisionless and transitional flows

Direct simulation Monte Carlo methods

Hypersonics

Applications
Lecture notesPrinted lecture notes will be distributed in class.
LiteratureText book:
T. I. Gombosi , Gaskinetic Theory, Cambridge University Press, 2008.

Suggested literature:
Ching Shen, Rarefied Gas Dynamics: Fundamentals, Simulations and Micro Flows (Heat and Mass Transfer), Springer, Berlin, 2005.
Prerequisites / NoticeAt the class majority's request the lecture can be held in German; lecture notes, hoewever, will be in English in any case.