MEK9300 – Viscous Flow and Turbulence
Course description
Schedule, syllabus and examination date
Course content
The course introduces four main subjects of viscous flow. The first subject treats flow at low Reynolds numbers including Couette-, pipe flow profiles and examples of Stokes flow. The second subject is laminar boundary layers where the Blasius profile at a flat plate and notions like boundary layer thickness and momentum thickness are introduced. The oscillatory boundary layer, the Ekman profile and secondary streaming are introduced as well. Analyses of jets and similarity solutions are developed. Stability is the third main subject and turbulence the fourth. Reynolds averaging, simple turbulence modeling, as well as the turbulent law of the wall, is introduced.
Learning outcome
After completing the course you
- are familiar with flow at low Reynolds numbers
- have learned what characterizes a boundary layer
- know how to formulate similarity solutions
- know how to calculate the Kelvin-Helmholtz instability
- know how to derive the turbulent law of the wall
- know how to perform simple turbulence modeling.
Admission to the course
PhD candidates from the Faculty of Mathematics and Natural Sciences at 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.
Recommended previous knowledge
- MEK2200 – Continuum Mechanics
- It will also be an advantage to have taken the following courses:
Overlapping courses
- 10 credits overlap with MEK4300 – Viscous Flow and Turbulence.
- 10 credits overlap with MEK3300 – Viscous Flow and Turbulence (discontinued).
- 10 credits overlap with ME220.
- 5 credits overlap with ME201.
- 3 credits overlap with ME203.
Teaching
4 hours of lectures per week throughout the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.
Examination
Final written exam or final oral exam, which counts 100 % towards the final grade.
The form of examination will be announced by the lecturer by 1 October/1 March for the autumn semester and the spring semester respectively.
This course has 2 mandatory assignments that must be approved before you can sit the final exam.
In addition, each PhD candidate is expected to give an oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer before you can sit the final exam.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MEK4300 – Viscous Flow and Turbulence
Examination support material
Written examination: Rottmann's formula list and approved calculators are allowed. Information about approved calculators in Norwegian.
Oral examination: No examination support material is allowed.
Language of examination
Courses 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.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.