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Advanced Fluid Mechanics 7.5 credits

Second cycle, F7016T
Course syllabus valid: Autumn 2021 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Education level
Second cycle
Grade scale
G U 3 4 5
Fluid Mechanics
Subject group (SCB)
Engineering Physics
Main field of study
Mechanical Engineering

Entry requirements

Mathematics: Vector analysis, variable separation, partial differential equations. Fluid Mechanics: Basic properties of liquids and gases. Control volume formulation of continuity and momentum.

More information about English language requirements


The selection is based on 20-285 credits

Course Aim
After completing the course, you should be able to

Knowledge and understanding

  • Describe what happens in a flow process during laminar and turbulent flows

Skills and Abilities

  • Use tensor notation to set up problems in fluid mechanics
  • Make appropriate approximations for a given problem in fluid mechanics
  • Apply appropriate mathematical methods to given problems in fluid mechanics
  • Make estimates of interesting variables in a flow process.

Valuation and approach

  • Verify and critizise results from commercial flow simulation programs.
  • Determine when advanced simulations or experiments need to be performed.

The course will develop basic knowledge in fluid mechanics with the gouverning equations formulated in differential equation form. You will apply mathematical methods covered in the basic courses and experience some applied flow problems. This will enable you to familiarize with various problems within fluid mechanics, in the future, important for industry and society. You also get an insight into scientific issues in fluid mechanics and learn a couple of advanced tools that are used to study flow processes.

This includes notation, Kronecker delta, the Permutation symbol, various products and tensors.

Model experiments
Basic methodology for model experiments for flow processes is discussed.

Studies of flow fields without regard to how the flow is generated. It includes Lagrangian - Euler descriptions, streamlines, particle paths and streak lines as well as vorticity. 

Mass and momentum
The basic equations in fluid mechanics are presented. Mass balance, Navier-Stokes equations and Bernoulli's equation.

Laminar flows
Solutions of Navier-Stokes equations for laminar flows in typical geometries are presented and discussed. 

Boundary layer
Among other things, Euler's equation, laminar boundary layers, separation and jets are treated here.

This includes the concept of turbulence in fluid mechanics, how turbulence affects the basic equations, how turbulence alters the flow and turbulent boundary layers.

Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.
The main part of the course is of a theoretical nature where the teaching consists of teacher-led lectures and exercises. In order for the student to achieve the course objectives, the student is encouraged to participate in these activities, read the corresponding sections in the course literature and do the proposed exercises. At the lectures, each area is linked to current research and interesting issues in society and industry.

The course also includes compulsory laboratory work where students can train their ability to use two advanced tools in fluid mechanics: Programs for numerical flow calculations (CFD) and full-field measurements in the laboratory (PIV).

If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.
The learning objectives under the heading Knowledge and understanding , as well as Evaluation and attitudes are examined through a written exam with the grading scale U G 3 4 5. The learning objective under the heading Skills and abilities is examined through reported laboratory work with the grading scale U G # and through the written exam.

Staffan Lundström

Transition terms
The course F7016T is equal to MTM162

Literature. Valid from Autumn 2021 Sp 1 (May change until 10 weeks before course start)
Kundu, P.K., Cohen, I.M., Dowling, D.R., “Fluid Mechanics”, Sixth Edition,
ISBN 978-0-12-405935-1, Academic Press Publications Elsevier (2016)
- Material in digital course room
- Files about tensors and turbulence
- Problems and solutions
- Formulas
- Instructions for the laborations

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleCrStatusFrom periodTitle
0004Laboratory workU G#0.50MandatoryA21
0005Written examG U 3 4 57.00MandatoryA21

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
The syllabus was established by the Department of Applied Physics and Mechanical Engineering 2007-02-28, and remains valid from autumn 2007.

Last revised
by Head Faculty Programme Director Niklas Lehto 17 Feb 2021