### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## 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.

### Course Disposition

Nine two-hour lectures the first three weeks. In the beginning of week four there is a theoretical test (swe. kontrollskrivning). The course also gives five two-hour exercises and an experimental lab. At the end of the course, students will do a project (group work) with poster presentation.

## Literature and preparations

### Specific prerequisites

Basic courses in mathematics, mechanics and physics.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Kundu & Cohen, Fluid Mechanics, Academic Press, 2015, föreläsningsanteckningar samt labb-pek.

Kundu & Cohen, Fluid Mechanics, Academic Press, 2008, lecture notes and lab-PM.

## Examination and completion

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

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

### Examination

• KON1 - Test, 2,0 hp, betygsskala: P, F
• LAB1 - Labration, 0,5 hp, betygsskala: P, F
• PRO1 - Project, 1,5 hp, betygsskala: P, F
• TEN1 - Exam, - hp, betygsskala: 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

(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

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### 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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SG1218

SCI/Mechanics

Technology

First cycle