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9. Course learning outcomes

-Description of the learning outcomes provided to students by the course
- See the competence map ( course gives an introduction to the physics of gas and fluid flows and to mass and energy transport. The course is aimed at all physics students and is suitable for other students as well.

10. Course completion methods

-Will the course be offered in the form of contact teaching, or can it be taken as a distance
learning course?
-Description of attendance requirements (e.g., X% attendance during the entire course or
during parts of it)
-Methods of completion

11. Prerequisites

-Description of the courses or modules that must be completed before taking this course or
what other prior learning is requiredHigh school advanced mathematics and physics, course “Matemaattiset apuneuvot I” or similar.

12. Recommended optional studies

-What other courses are recommended to be taken in addition to this course?
-Which other courses support the further development of the competence provided by this

13. Course content


1.Pipe flow and other simple geometry flow types. Reynold’s number and its physical meaning.
2. Flow past a cylinder and different flow types related to that. Drag.
3. Free convection. Rayleigh and Prandtl numbers.
4. Equation of motion. Lagrangian and Eulerian specification of the flow field and related derivatives. Continuity equation. Boundary conditions. Incompressibility assumption.
5. Stream lines, stream functions and trajectories. Vorticity and circulation.
6. Dynamic similarity.
7. Flow at high and low Reynold’s numbers and examples of a viscous flow; Euler equation; flow potential; Bernoulli equation.
8. Turbulence and its statistical analysis. Correlation and spectra.

14. Recommended and required literature