After successful completion of the course, students are able to

1.) formulate stress-srtain relations relations of viscous and viscoelastic fluids and to apply them to simple shear flows.

2.) Set up mass and momentum or balance of forces for control volumes in a shear flow and thus derive and solve the equations of motion for simple shear flows.

3.) describe or explain föpw-effects that only occur with viscoelastic fluids.

4.) describe and explain normal-stress-effects of non-Newtonian fluids.

5.) establish the equations of motion for simple shear flows (Couette flow, pipe and film flows) for Newtonian and non-Newtonian fluids and to solve them for fully developed flows.

6.) Set up and interpret the basic equations and boundary conditions for incompressible flows.

7.) apply the concept of mechanical similarity to flows and indicate the corresponding dimensionless measures.

8.) calculate the flow around spheres and bubbles in case of small and large Reynolds numbers.

9.) specify the bubble and drop shape or resistance for different areas of the Reynolds and Weber numbers.

10.) to characterize potential flows and to calculate them in simple cases.

11.) to calculate the steady rise or fall rate of bubbles or drops in another fluid.

12.) to explain cavitation and the collapse of cavitation bubbles.

13.) describe the decay of liquid jets.

14.) to calculate the speed of sound in a compressible fluid (ideal gas or gas/liquid mixture).

15.) to calculate the mass flow of a compressible fluid through a (Laval) nozzle.

16.) to qualitatively describe the compressible flow through and behind a nozzle.

17.) to characterize flow forms of multiphase flows. 18.) Give the equations of state of homogeneous gas/liquid mixtures.

19.) calculate the speed of sound of a homogeneous gas-liquid mixture.

20.) To calculate one-dimensional, homogeneous two-phase flows with and without friction.

21.) describe two-phase flows with relative velocity.

22.) derive and apply the drift flow model.

23.) describe and calculate sedimentation problems by solving a kinematic wave equation.

24.) to solve the problems in the exercise collection.

25.) to answer the questions in the questionnaire correctly.

Simple shear flows (Couette flow, pipe flow) of Newtonian and non-Newtonian fluids; liquid films; motion of solid particles, liquid drops and gas bubbles; cavitation bubbles; disintegration of liquid jets; homogeneous two-phase flows (speed of sound, pipe flow, nozzle flow) and two-phase flows with relative motion (solid bed, fluidised bed, sedimentation).

L. Prandtl et al.: Führer durch die Strömungslehre. 9. Aufl., Vieweg, 1990.

C. Brennen: Fundamentals of Multiphase Flow. Cambridge, 2005.

H. Brauer: Ein- u. Mehrphasenströmungen. Sauerländer, 1971.

H.A. Barnes et al.: An Introduction to Rheology. Elsevier, 1989.

H. Kuhlmann: Strömungsmachanik. Pearson, 2007.

W. Schneider et al.: Repetitorium Thermodynamik. 3. Aufl., Oldenbourg, 2012.