327-1201-00L  Transport Phenomena I

SemesterAutumn Semester 2016
LecturersH. C. Öttinger
Periodicityyearly recurring course
Language of instructionEnglish



Catalogue data

AbstractPhenomenological approach to "Transport Phenomena" based on balance equations supplemented by thermodynamic considerations to formulate the undetermined fluxes in the local species mass, momentum, and energy balance equations; fundamentals, applications, and simulations
ObjectiveThe teaching goals of this course are on five different levels:
(1) Deep understanding of fundamentals: local balance equations, constitutive equations for fluxes, entropy balance, interfaces, idea of dimensionless numbers, ...
(2) Ability to use the fundamental concepts in applications
(3) Insight into the role of boundary conditions
(4) Knowledge of a number of applications
(5) Flavor of numerical techniques: finite elements, finite differences, lattice Boltzmann, Brownian dynamics, ...
ContentApproach to Transport Phenomena
Diffusion Equation
Brownian Dynamics
Refreshing Topics in Equilibrium Thermodynamics
Balance Equations
Forces and Fluxes
Measuring Transport Coefficients
Pressure-Driven Flows
Driven Separations
Complex Fluids
Lecture notesA detailed manuscript is provided; this manuscript will be developed into a book entitled "A Modern Course in Transport Phenomena" by David C. Venerus and Hans Christian Öttinger
Literature1. R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, 2nd Ed. (Wiley, 2001)
2. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics, 2nd Ed. (Dover, 1984)
3. W. M. Deen, Analysis of Transport Phenomena (Oxford University Press, 1998)
4. R. B. Bird, Five Decades of Transport Phenomena (Review Article), AIChE J. 50 (2004) 273-287
Prerequisites / NoticeComplex numbers. Vector analysis (integrability; Gauss' divergence theorem). Laplace and Fourier transforms. Ordinary differential equations (basic ideas). Linear algebra (matrices; functions of matrices; eigenvectors and eigenvalues; eigenfunctions). Probability theory (Gaussian distributions; Poisson distributions; averages; moments; variances; random variables). Numerical mathematics (integration). Equilibrium thermodynamics (Gibbs' fundamental equation; thermodynamic potentials; Legendre transforms). Maxwell equations. Programming and simulation techniques (Matlab, Monte Carlo simulations).

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersH. C. Öttinger
Typeend-of-semester examination
Language of examinationEnglish
RepetitionA repetition date will be offered in the first two weeks of the semester immediately consecutive.
Additional information on mode of examinationA mid-term assessment test is offered, with problems similar to those in the exercises and the end-of-semester examination. If passed successfully, this assessment test can be used to increase the mark for the end-of-semester examination (written, 1.5 hours) by 0.25. The final mark for the course is the weighted average of the marks for the end-of-semester examination (80%) and for the project work (20%).
Written aids: A clean copy of the official manuscript.

Learning materials

 
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Courses

NumberTitleHoursLecturers
327-1201-00 GTransport Phenomena I
13:00-14:00 Vorlesung
14:15-15:15 Übungen in zwei Gruppen
15:30-16:30 Vorlesung
4 hrs
Mon13-17HCP E 47.3 »
14-16HCP E 47.1 »
H. C. Öttinger

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Offered in

ProgrammeSectionType
Materials Science MasterCore CoursesW DrInformation
Mathematics MasterMaterial Modelling and SimulationWInformation
Computational Science and Engineering BachelorElectivesWInformation
Computational Science and Engineering MasterElectivesWInformation