MEK9300 – Viscous Flow and Turbulence

Schedule, syllabus and examination date

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Course content

Flow at low Reynolds number: Stokes flow, Oseens solution. Flow at large Reynolds number: Vortex dynamics, stagnation flow, boundary layer flow, non-steady boundary layers, separation and vortex shedding. Forces on bodies due to the flow, drag coefficients. Free shear layers, jets and wakes. Stability, transition to turbulence, turbulent flow. Reynolds averaged equations, turbulent stresses, turbulent diffusivity, mixing length and the k-epsilon model, law of the wall, correlations and spectra.

Learning outcome

To extend the understanding of some important areas of fluid mechanics, and to provide a basis for further studies in fluid mechanics and other branches of science where such knowledge is needed (such as meteorology, oceanography, hydrology, branches of physics and geology). The course is recommended for specialization in fluid mechanics at the master level.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

10 credits overlap with MEK4300 – Viscous Flow and Turbulence

*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department. 


4 hours lectures per week.


mandatory assignments.

Final written examination.

PhD candidates must deliver one extra obligatory exercise, which must be at an advanced level within the curriculum of the course, or be a theoretical extension of the curriculum of the course, and should preferably relate the contents of the course to newer research literature. You may be required to give an oral presentation and/or deliver a written report. The exercise must be passed to be allowed to take the final exam.

Examination support material

Written examination: Rottmann's formula list and approved calculator.
Information about approved calculators (Norwegian only)

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Every autumn


Every autumn

Teaching language


The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.