MEK4400 – Theory of Hydrodynamic Stability

Schedule, syllabus and examination date

Choose semester

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

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Recommended previous knowledge

MEK3230 – Fluid Mechanics, MEK4300 – Viscous Flow and Turbulence, MAT-INF3360 – Introduction to Partial Differential Equations (continued). It will be useful to have knowledge about complex functional theory.

Overlapping courses

10 credits overlap with MEK9400 – Theory of Hydrodynamic Stability

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

Teaching

4 hours of lectures per week.

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 oral or written examination. The form of examination will be announced by the teaching staff by 15 October/15 March for the autumn semester and the spring semester respectively.

Examination support material

Written examination: 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 scale from A to F, where A is the best grade and F is a fail. 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

Master

Teaching

Taught according to demand and resources. Contact studieinfo@math.uio.no if you are interested in this course.

Examination

The same semester as taught.

Teaching language

English

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