SG2214 Fluid Mechanics 7.5 credits
All fluid flows are governed by a single set of partial differential equations, the Navier-Stokes equations. This includes for instance, the aerodynamics of bumble bees and aerospace planes, the turbulence around vehicles and in the atmosphere and the convection in the sun and around a human body. The course is an in-depth introduction to fluid mechanics, with an emphasis of understanding fluid phenomena using on the Navier-Stokes equations. The equations are derived in detail and numerous examples of solutions are presented. Fluid Mechanics also has many important applications in engineering, geo- and astro-physics and bio-physics, for example, which makes this course ideal as a starting point for students with a varied interest in applications.
Educational levelSecond cycle
Academic level (A-D)C
Subject areaMechanical Engineering
Grade scaleA, B, C, D, E, FX, F
Autumn 17 P1 (7.5 credits)
2017 week: 35
2017 week: 43
Language of instruction
Number of lectures
Number of exercises
Form of study
Number of places
P1: A1, E1, F1, H1, I1, A2, E2, H2. more info
The course is given to students in Engineering Mechanics. The course is also for master students from other programs
Part of programme
- Master of Science in Engineering and in Education, year 4, MAFY, Conditionally Elective
- Master's Programme, Engineering Design, 120 credits, year 1, IPUA, Conditionally Elective
- Master's Programme, Engineering Mechanics, 120 credits, year 1, Conditionally Elective
- Master's Programme, Engineering Mechanics, 120 credits, year 1, TEMA, Mandatory
- Master's Programme, Engineering Mechanics, 120 credits, year 2, Conditionally Elective
- Master's Programme, Engineering Mechanics, 120 credits, year 2, TEMB, Recommended
- Master's Programme, Naval Architecture, 120 credits, year 1, MRSB, Mandatory
- Master's Programme, Vehicle Engineering, 120 credits, year 1, Conditionally Elective
- Master's Programme, Vehicle Engineering, 120 credits, year 2, Conditionally Elective
Intended learning outcomes
- The student shuold be able to formulate mathematical models of fluid mechanical phenomena, and make relevant approximations.
- The student should be able to apply the these models (numerically or theoretically) and interprete the result.
- The student should get a basic preparation for the future ability as a master of engineering to work with computational fluid mechanics in technical applications.
Course main content
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
- describe the method of transferring from compressible to incompressible equations
- 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, velocity potential 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.
- describe simple phenomena in turbulence, as e.g. turbulent stresses.
- derive the Reynolds averaged equations
- suggest methods to measure the velocity in a flowing medium
Compulsory courses of the main programmes at F or T. Alternatively, compulsory courses at B or M and in addition SG1217 or SG1220.
The student should have good knowledge in linear algebra and calculus in more than one variable, vector analysis, Gauss and Stokes theorems and solution of elementary partial differential equations, basic knowledge of fluid mechanics phenomena, computer programming in e.g. Matlab.
Kundu & Cohen, Fluid Mechanics, Academic Press.
Additional course material may be available via course home page.
- INL1 - Assignments, 3.0, grade scale: P, F
- TEN1 - Examination, 4.5, grade scale: A, B, C, D, E, FX, F
Requirements for final grade
Homework assignment (INL1; 3 cr)
Exam (TEN1; 4,5 cr.)
Anders Dahlkild <email@example.com>
The course is compulsory for students in Fluid Mechanics track in Masters program in Engineering Mechanics.
SG2215 Compressible flow
SG2221 Wave motions and hydrodynamic stability
SG2212 Computational Fluid Mechanics
Course syllabus valid from: Autumn 2012.
Examination information valid from: Autumn 2007.