Heat and Mass Transfer

Lecturer (assistant)
Duration2 SWS
TermWintersemester 2019/20
Language of instructionGerman
Position within curriculaSee TUMonline
DatesSee TUMonline

Admission information


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.


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)


Bachelorvorlesung Wärmetransportphänomene

Teaching and learning 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. Furthermore, a supplementary exercise lesson is offered in which thematically similar exercises are given as (volutary) homeworks. 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.


In a written exam (90min) the candidates are asked to apply the lecture content on different problems. The exam problems consist of 1/3 so called short questions and 2/3 calculation problems. In both parts 2/3 of the contents stem from heat transfer and 1/3 from mass transfer. Participants are allowed to use written documents in paperform (books, prints, handwritten notes) and a non-programmed hand calculator. Smartphones, tablets or other computers are not allowed.

Recommended literature

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.