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SG1218 Fluid Mechanics 4.0 credits

About course offering

For course offering

Autumn 2024 Start 28 Oct 2024 programme students

Target group

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Part of programme

Degree Programme in Engineering Mathematics, åk 3, Optional

Degree Programme in Engineering Physics, åk 3, Mandatory

Master's Programme, Engineering Mechanics, åk 1, TEMA, Mandatory


P2 (4.0 hp)


28 Oct 2024
13 Jan 2025

Pace of study


Form of study

Normal Daytime

Language of instruction


Course location

KTH Campus

Number of places

Places are not limited

Planned modular schedule


For course offering

Autumn 2024 Start 28 Oct 2024 programme students

Application code



For course offering

Autumn 2024 Start 28 Oct 2024 programme students


Shervin Bagheri (


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Course coordinator

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Headings with content from the Course syllabus SG1218 (Autumn 2023–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The student should be able to

  • Derive the Navier-Stokes equations and explain the meaning of its terms, including the stress and deformation rate tensors
  • Compute the flow field for a number of so called exact solutions
  • Derive the vorticity equation and give a physical explanation of its terms
  • Use the concepts of stream function and apply the Bernoulli equation
  • Discuss the principles of and derive the boundary layer approximation of the Navier-Stokes equations, and to give self similar solutions of these equations including simple thermal boundary layers.
  • Describe the phenomena of separation of streamlines.
  • Suggest methods for measuring the velocity in a fluid.

Intended learning outcomes

  • The student should be able to formulate mathematical models and make relevant approximations of fluid phenomena.
  • The student should apply these models for simple cases and interpret the results.
  • The student should gain some skill in carrying out experiments in fluids.

Literature and preparations

Specific prerequisites

Completed course SG1113 or equivalent.

Recommended prerequisites

Recommended courses are Differential Equations and TransformsSF1683, Vector analysis SI1146 and Mathematical Methods in Physics SI1200. 


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Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F


  • KON1 - Test, 2.0 credits, grading scale: P, F
  • LAB1 - Laboration, 0.5 credits, grading scale: P, F
  • PRO1 - Project, 1.5 credits, grading scale: P, F
  • TEN1 - Exam, - credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

KON1 - Test, 2,0 hp, grade scale: P, F

LAB1 - Lab, 0,5 hp, grade scale: P, F

PRO1 - Project, 1,5 hp, grade scale: P, F

TEN1 - Examination, 0 hp, grade scale: P, F

Other requirements for final grade

Requirements for final grade C-F

(KON1; 2,0 hp), examines theory and can give grade C-F.

(LAB1; 0,5 hp), performed lab with approved reporting.

(PRO1; 1,5 hp), performed project reporting by means of a poster presentation.

Requirements for final grade A-B (not mandatory)

(TEN1; 0 hp) Problem based examination, which examines skills in problem solving and application of mathematical methods.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study


Education cycle

First cycle

Add-on studies

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Shervin Bagheri (