The aim of this subject is getting knowledge about specific phenomena which occur in the fluid flow in micro systems аs well as about scientific and mathematical methods that allow obtaining analytical and numerical solutions for prediction, analysis and research gas and liquid flow in channels whose characteristic dimensions are of the order of micrometers.

Students are qualifying for computing pressure, velocity and temperature field in micro structure fluid flow and analyzing the effects of different flow conditions and boundary conditions on them with contemporary scientific and mathematical methods. Also, they qualify to recognize specific phenomena which appears in microdevices fluid flow due to the large surface to volume ratios and to coupling of flow with heat and mass transport as well as electromagnetic fields.

Theoretical lessons incorporates applications of the fundamental laws (mass, momentum, and energy) that govern fluid mechanics in order to solve and model gas and liquid flow in the microchannels, application of the boundary conditions characteristic for the gas flow in the microsistems i.e. slip, thermal creeping and temperature jump at the boundary, introducing with electrokinetic’s phenomena which occur in liquid microchannel flow and mathematical modelling surface tension driven flows i.e. electrophoresis and electro-osmotic flow.

Practical lessons contains: application of the basic fluid mechanics equations for the solving analytical and numerical solutions for the modeling fluid flow in the micro structures which include different effects as rarefaction, slip, thermal creeping, temperature jump at the wall, electro-hydrodynamic phenomena as the electric double layer and creating and solving mathematical models for electro kinetic and electroosmotic flows.

Passed exam in Fluid mechanic.

Course handouts.

Total assigned hours: 65

New material: 40
Elaboration and examples (recapitulation): 10

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 50
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 30

Karniadakis G., Beskok A., Aluru N., Microflows and Nanoflows Fundamental and Simulations, 2005, Springer, ISBN: 978-0387-22197-7; Bruus H., Theoretical Microfluidics, 2008, Oxford University Press, ISBN: 978–0–19–923509–4; Kirby, B., Micro and Nanoscale Transport in Microfluid Devices, 2010, Cambridge University Press, ISBN:978-0-521-11903-0; Dongqing L., Encyclopedia of Microfluidics and Nanofluidics, 2008, Springer, ISBN:978-0-387-48998-8; Stevanovic N., Fundamentals of microfluidics and nanofluidics (in Serbian), 2014, Faculty of Mechanical Engineering, University of Belgrade, ISBN: 978-86-7083-847-5.