# Fluid Mechanics

5 credits

Syllabus, Master's level, 1FA253

Code
1FA253
Education cycle
Second cycle
Main field(s) of study and in-depth level
Physics A1N, Technology A1N
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 20 October 2022
Responsible department
Department of Physics and Astronomy

## Entry requirements

120 credits including Mathematical Methods of Physics. Participation in Scientific Computing for Partial Differential Equation. Proficiency in English equivalent to the Swedish upper secondary course English 6.

## Learning outcomes

On completion of the course, the student shall be able to:

• describe variables and basic equations of fluid mechanics
• define and describe the potential and vortex flows of ideal and viscous fluids
• describe the fluid flow around symmetric bodies and determine the drag and lift forces arising due to this flow
• describe the transition from laminar flow to turbulent flow and calculate the characteristics of the boundary layer both for laminar and turbulent flows
• apply dimensional analysis for a qualitative description of fluid flows
• describe the main features of wave phenomena in various fluids and determine the properties of surface and internal gravity waves
• define and analyse the stability of fluid flows

## Content

Key concepts and laws of fluid mechanics. Basic equations of fluid mechanics for ideal and viscous flows. Incompressible flows. Hydrostatic equilibrium and its stability. Helmholtz and Kelvins theorems. Potential flow and complex flow potential. Flows around cylinders and spheres. Two-dimensional wing theory. Analysis of viscous flows. Boundary layers. Dimensional analysis and comparison with experimental data. Typical Reynolds numbers for laminar and turbulent flow. Elements of the theory of turbulence. Surface and internal waves in fluids. Stability of fluid flows. Kelvin-Helmholtz and Rayleigh-Taylor instabilities. Use of numerical software within fluid mechanics.

## Instruction

Lectures, guest lecture, lessons and computer assignments.

## Assessment

Written examination at the end of the course (4 credits). Computer assignments (1 credit).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.