Transport phenomena

NAME OF THE COURSE Transport phenomena



Year of study


Course teacher

Prof Nenad Kuzmanić

Credits (ECTS)


Associate teachers

Asst Prof Antonija Čelan
Renato Stipišić

Type of instruction (number of hours)






Status of the course


Percentage of application of e-learning

0 %


Course objectives

Gaining knowledge about the principles of transfer of momentum, heat and mass transfer on the principle of a unified approach to transport phenomena. This knowledge forms the basis of chemical engineering unit operations, and they are therefore essential for a fuller understanding of process engineering.

Course enrolment requirements and entry competences required for the course


Learning outcomes expected at the level of the course (4 to 10 learning outcomes)

After passing the exam the student is expected to know:
- how to apply the laws of conservation of the fluid flow
- about molecular and convective mechanisms of transport of momentum, energy and mass
- how to recognize the major resistance at transport phenomena and how to intensifying the observed transfer
- how to gain insight into the functional dependence of the characteristics of a given system by the use of similarity theory and dimensional analysis
- the analogy of transfer of momentum, energy and mass

Course content broken down in detail by weekly class schedule (syllabus)

1st week: Introduction to physical transport phenomena. Conservation law. Molecular and convective transport mechanisms.
2nd week: Stationary and non-stationary processes. Rate of transport processes. Momentum, heat and mass fluxes. Fluid characteristics (density, relative density, specific weight...)
3rd week: Momentum transfer. Newton’s low of viscosity. Momentum flux. Application of momentum and mass balances in fluid mechanics.
4th week: Application of heat balance in fluid mechanics: Bernoulli equation and its application in process engineering.
5th week: Theories of similarity. Dimensional analysis. Flow phenomena. Laminar flow. Stationary laminar flow between two flat horizontal plates.
6th week: Stationary laminar flow through a horizontal circular tube. Hagen-Poiseuille law. Turbulent flow. Pressure drop in straight channels and in pipe systems. Moody diagram.
7th week: Flow around obstacles. Rate of sedimentation.
8th week: Flow through beds of particles. Fluidization.
9th week: Fundamental principles of heat transfer. Stationary heat conduction. Heat conduction through walls and through cylindrical walls.
10th week: Heat transfer by forced convection. Thermal boundary layer. Partial and overall heat transfer coefficients. Heat transfer during laminar and turbulent flows in pipes. Heat transfer during condensation.
11th week: Heat transfer during boiling. Heat transfer around obstacles. Heat transfer during natural convection.
12th week: Heat transport by radiation.
13th week: Fundamental principles of mass transfer. Stationary diffusion. Equimolar counterdiffusion and one-component diffusion.
14th week: Mass transfer with forced convection. Mass transfer by natural convection.
15th week: Interphase mass transfer. Analogy between heat and mass transfer.
Laboratory exercises:
Determination of fluid flow type and the critical Reynolds number; Applying the Bernoulli’s theorem: Dynamic and Surface Flow Meters - Calibration of orifice plate and rotameter; Determination of pressure drop in the pipeline; Determination of particle sedimentation rate in a stationary fluid. Determination of fluidized bed characteristics; Determination of partial and overall heat transfer coefficients; Complex heat transfer by radiation and convection; Interphase mass transfer.

Format of instruction:

Student responsibilities

Lecture attendance: 80 %. Laboratory exercises attendance: 100 %.

Screening student work (name the proportion of ECTS credits for eachactivity so that the total number of ECTS credits is equal to the ECTS value of the course):

Class attendance




Practical training


Experimental work







Seminar essay






Oral exam




Written exam






Grading and evaluating student work in class and at the final exam

A student can pass a part or the entire exam by taking two partial tests during the semester. Test passing score is 55%. Students who do not pass the partial exams have to take an exam in the regular examination periods. The exam consists of theoretical (oral) and written part. Exam passing score is 55%. Written part will constitute 25% and the theoretical part of the exam 45 % of the test score. Laboratory exercises (passing score 50-100%) will constitute 30% of the final score.
Grades depending on the test score: 55% - 65% - satisfactory, 66% -77% - good, 78% -89% very good, 90% -100% - excellent.

Required literature (available in the library and via other media)


Number of copies in the library

Availability via other media

W. J. Beek, K. M. K. Muttzall, J. W. van Heuven, Transport Phenomena, 2nd ed., J. Wiley and Sons Inc., London, 1999.


N. Kuzmanić, Prijenos tvari i energije, Priručnik za predavanja (za unutarnju uporabu), Kemijsko-tehnološki fakultet u Splitu, Split, 2012.


Web stranice KTF-a

R. Byron Bird, W. E. Stewart, E. N. Lightfoot, Transport Phenomena, 2nd ed., J. Wiley and Sons Inc., New York, 2002.


J. Welty, J. W. Wicks, R. E. Wilson, G. L. Rorrer, Fundamentals of Momentum, Heat and Mass Transfer, 5th ed., J. Wiley & Sons Inc., New York, 2007.


Optional literature (at the time of submission of study programme proposal)

E. Mitrović-Kessler: Prijenos tvari i energije, Tehnološki fakultet Split, Split, 1991.

Quality assurance methods that ensure the acquisition of exit competences

Quality of the teaching and learning, monitored at the level of the
(1) teachers, accepting suggestions of students and colleagues, and
(2) faculty, conducting surveys of students on teaching quality.

Other (as the proposer wishes to add)