Schedule, syllabus and examination date

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Course content

MEK9480 gives a description of free surface flows, with special emphasis on free surface flows. The course gives a continuum description of fluid flow where two or more phases are simultaneously in motion, which is based on the equations for mass and momentum balance (Navier-Stokes equations). A class of multiphase flows will be described where emphasis will be on the development of theoretical models to describe these.

Learning outcome

After completing the course you will:

  • know about theoretical models for multphase flow;
  • be able to describe and derive mathematical models for a class of selected free surface flow phenomena;
  • be able to describe some instabilities that are driven and inhibited by surface tension;
  • be able to describe bubble/droplet dynamics, film dynamics, capillary and wetting phenomena, fluid flows driven forces at the free surface;
  • be able to present, on a scientific level, a short thesis on a chosen topic of relevance as a seminar to fellow students, selected in collaboration with the lecturer.


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


Four hours of lectures/exercises per week throughout the semester. Some teaching may be done in the laboratory.


1 mandatory assignment. Parts of it may involve project work. Some of these project works will be performed in the laboratory and others through numerical simulations through the use of computer rooms. These projects must also be presented as a short seminar to fellow students.

Depending on the number of students, the exam will be in one of the following four forms:
1.Only written exam
2.Only oral exam
3.A project paper followed by a written exam.
4.A project paper followed by an oral exam/hearing.
For the latter two the project paper and the exam counts equally and the final grade is based on a general impression after the final exam. (The two parts of the exam will not be individually graded.)

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.

In addition, each PhD candidate 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

No examination support material is allowed.

Language of examination

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.


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






Spring 2020

Spring 2019

Spring 2018


Spring 2020

Spring 2019

Spring 2018

Teaching language

Norwegian (English on request)