MEK9400 - Theory of Hydrodynamic Stability

Course content

The Orr-Sommerfeld equation, stability of linear flow, stability criteria for inertial stability, stability of stratified flows, Couette flow, Poiseuille flow and boundary layer flow, stability of flow between coaxial rotating cylinders, stability criteria for the onset of thermal convection, non-linear effects, the Landau equation, transition to turbulence.

Learning outcome

To provide an introduction to the theory of hydrodynamic stability. The course can be used in a master or doctoral study in fluid mechanics, oceanography, meteorology or branches of physics and astrophysics.

Admission

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.

Prerequisites

Recommended previous knowledge

MEK3230 - Fluid Mechanics, MEK4300 - Viscous Flow and Turbulence, INF-MAT3360 - Partial differential equations (discontinued). It will be useful to have knowledge about complex functional theory.

Overlapping courses

10 credits overlap with MEK4400 - Theory of Hydrodynamic Stability

9 credits with ME301.

*The information about overlaps is not complete. Contact the department for more information if necessary.

Teaching

4 hours of lectures per week.

If few students apply for the course, it may be given as self-tuition with one hour of common academic supervision each week.

Examination

Depending on the number of students, the exam will be either oral or written.
What form the exam will take will be announced by the teaching staff within October 15th for the autumn semester and March 15th for the spring semester.

In addition, each PhD student is expected to give a one hour oral presentation on a topic of relevance (chosen in cooperation with the lecturer). The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

Examination support material

Permitted aids at the exam: Rottmann's formula list + 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.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Evaluation

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

Credits

10

Level

PhD

Teaching

Taught according to demand and resources. If you want to attend the course, please send an e-mail to studieinfo@math.uio.no.

Examination

According to demand and resources.

Teaching language

English

The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.