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Instructors: Prof. Dr. rer. nat. Dieter Bothe
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
fluid Interfaces
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
German and English
Min. | Max. participants:
- | -
Course Contents:
Basic calculus on surfaces; two-phase and surface transport theorems; remarks on quasilinear free boundary problems. Derivation of two-phase integral balance equations for mass, momentum and species mass; derivation of local balances and interfacial jump conditions; modeling of surface tension, mass transfer, evaporation, condensation. Continuum thermodynamics of fluid interface; entropy balance; entropy principle and second law; linear and non-linear closures.
Literature:
R. Aris: Vectors, Tensors and the Basic Equations of Fluid Dynamics, Dover 1962.
J.C. Slattery, L. Sagis, E.-S. Oh: Interfacial Transport Phenomena (2nd ed.), Springer 2006.
D.A. Edwards, H. Brenner, D.T. Wasan: Interfacial Transport Processes and Rheology, Butterworth-Heinemann 1991.
Preconditions:
recommended: Analysis, Ordinary Differential Equations. Alternatively comparable prerequisites.
Online Offerings:
moodle
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