Heat and Mass Transfer

Module MW0006

This Module is offered by Associate Professorship of Thermo-Fluid Dynamics (Prof. Polifke).

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MW0006 is a semester module in German language at Master’s level which is offered in winter semester.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (ECTS)
150 h 45 h 5 CP

Content, Learning Outcome and Preconditions


Heat transfer: Transient conduction: Fourier´s exact solution for the temperature equalisation in plate/cylinder/sphere; heat conduction in semi-infinite solid; Green´s function of Fourier´s differential equation Extended surfaces: Energy balance with variable cross sectional area; effectiveness and efficiency of fins; optimisation of a fin profile Heat transfer with heat source: Spatial varying heat source density; phase change as heat source; melting-solidification ("Stephan-problem"), boiling-condensation (boiling curve according to Nukijama; correlations) Heat transfer in internal flows: Critical Reynolds-number and entry length; laminar fully-developed flow in tubes; thermal entry region; correlations for further geometries and turbulent tube flow Radiation Direction dependent emission; view factors; diffusive radiation between grey surfaces; detailed form of Kirchhoff´s Law. Mass transfer: Mass transfer and phase equlibria: concentrations; calculation of phase equilibria; driving force of mass transfer. Diffusion and convection: diffusion coefficient (gas and liquid), Fick's law of diffusion, molar and mass flux, basic equations, special cases (equimolecular diffusion, unimolecular diffusion, dilluted solution), Mass Transfer two phases: equations for mass transfer (²-model), film theory, overall-model and overall mass transfer coefficient, theories of determining the mass transfer coefficient (film theory, penetration theory (surface renewal theory), analogy heat and mass transfer)

Learning Outcome

After participating in the module Heat and Mass Transfer the students are able to understand the mechnisms of heat and mass transfer occuring in nature and technical applications.They are able make the abstractions from a real problem to a mathematical model. They can analyze systems in regard to heat and mass transfer and distiguish between important and unimportant (negligible) mechanisms.They are able to quatitavely calculate occuring heat and mass flows by using analitical and empirical formulas. The students are able to evaluate the solution to a technical problem and to come up with improvements on their own.


Thermodynamics 1 and WTP (recomended)

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 2 Wärme- und Stoffübertragung Mittwoch, 11:15–13:00
Mittwoch, 11:15–13:00
UE 1 Übung zu Wärme- und Stoffübertragung Montag, 16:00–17:00
Montag, 16:00–17:00
UE 1 Zusatzübung zu Wärme- und Stoffübertragung Mittwoch, 15:30–17:00
Mittwoch, 15:30–17:00

Learning and Teaching Methods

In the lecture the contents are provided with the help of presentations and the black board. In exampels practical problems and their solutions are presented. The presentation slides, a formulary and a pool of exercises are supplied. In the exercise lesson problems and their solutions from the above mentioned pool are dealt with. Besides, an additional exercise lesson is offert in which thematically similar exercises are discussed in form of (voluntary) homeworks. Students can discuss the problems they had in groups. If there are still problems left after this first round in small groups, they can note them down on a group sheet and pass it on the tutor. With these feedbacks the tutor is then able to specially deal with these problems in the next additional exercise lesson. All teaching material and further information are provided online. For exam preparation old exams for the heat transfer part can be downloaded from the website. Individual help will be offered in the office hours of our assistant.


Lecture, Presentation, Black-board, Table-PC with Beamer, Online teaching materials


Polifke und Kopitz, Wärmetransport, 2.Auflage, Pearson-Verlag, 2009; Incropera et al., Heat and Mass Transfer, 6.Auflage, John Wiley & Sons, 2007; Bird, B. R., W. E. Stewart und E. N. Lightfoot: Transport Phenomena. John-Wiley & Sons, Zweite Auflage, 2002; Cussler, E. L.: Diffusion Mass Transfer in Fluid Systems. Cambridge University Press, Dritte Auflage, 2009; Mersmann, A.: Stoffübertragung. Springer-Verlag, 1986.

Module Exam

Description of exams and course work

In a written exam the candidates are asked to apply the lecture content on different problems.

Exam Repetition

There is a possibility to take the exam in the following semester.

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