327-1201-00L  Transport Phenomena I

SemesterAutumn Semester 2020
LecturersJ. Vermant
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
327-1201-00 GTransport Phenomena I
14:00-15:00 Vorlesung
15:15-16:15 Übungen in zwei Gruppen
16:30-17:30 Vorlesung
4 hrs
Mon14:00-18:00ON LI NE »
J. Vermant

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; Solutions of a few selected problems relevant to materials science and engineering.
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 and scaling, ...
(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 and finite differences.
ContentPart 1 Approach to Transport Phenomena
Diffusion Equation
Refreshing Topics in Equilibrium Thermodynamics
Balance Equations
Forces and Fluxes
Applications
1. Measuring Transport Coefficients
2. Pressure-Driven Flows and Heat exchange
Lecture notesThe course is based on the book D. C. Venerus and H. C. Öttinger, A Modern Course in Transport Phenomena (Cambridge University Press, 2018) and slides are presented
Literature1. D. C. Venerus and H. C. Öttinger, A Modern Course in Transport Phenomena (Cambridge University Press, 2018)
2. R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, 2nd Ed. (Wiley, 2001)
3. L.G. Leal, Advanced Transport Phenomena (Oxford University Press, 2011)
4. W. M. Deen, Analysis of Transport Phenomena (Oxford University Press, 1998)
5. 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 credits5 credits
ExaminersJ. Vermant
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 examinationThe final mark for the course is the weighted average of the marks for the end-of-semester examination (80%) and a mandatory project work (20%). However a voluntary, graded mid-term assessment test is offered, with problems similar to those in the exercises and the end-of-semester examination. If the grade is better than the written exam (1.5h) it will count 20% towards result of the written exam.

Written aids: A clean copy of the text and the slides can be used.

Learning materials

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Only public learning materials are listed.

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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