Teaching language: English
Application code: 55145
Open for exchange students: Yes
Only students with the course round in the programme plan
Module 

Credit distribution 

Examination dates 
Sp1 
Sp2 
Sp3 
Sp4 
Summer course 
No Sp 
0119 
Examination 
4,5 c 
Grading: TH 

4,5 c







29 Oct 2021 am J, 
05 Jan 2022 am J, 
15 Aug 2022 am J 
0219 
Laboratory 
1,5 c 
Grading: UG 

1,5 c








0319 
Design exercise 
1,5 c 
Grading: UG 

1,5 c








In programs
TKMAS MECHANICAL ENGINEERING, Year 3 (compulsory)
TKTEM ENGINEERING MATHEMATICS, Year 3 (compulsory elective)
Examiner:
Niklas Andersson
Go to Course Homepage
Eligibility
General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Course specific prerequisites
Thermodynamics and Calculus in several variables
Aim
Gases and liquids in motion are found in a vast number of technical applications.
The course should give a thorough understanding of the flow phenomena that occurs in technical devices, and give
good knowledge about methods that are used to solve realistic problems.
Learning outcomes (after completion of the course the student should be able to)
 conduct industrial development work in the area of fluid mechanics
 apply control volume formulations, differential formulations and similarity laws
 account for basic phenomena and methods for treating turbulent flows and compressible flows
1. Explain the difference between a fluid and a solid in terms of forces and deformation
2. Understand and be able to explain the viscosity concept
3. Define the Reynolds number
4. Be able to categorize a flow and have knowledge about how to select applicable methods for the analysis of a specific flow based on category
5. Explain the difference between Lagrangian and Eulerian frame of reference and know when to use which approach
6. Explain what a boundary layer is and when/where/why it appears
7. Explain the concepts: streamline, pathline and streakline
8. Understand and be able to explain the concept shear stress
9. Know how to do a force balance for fluid element (forces and pressure gradients)
10. Understand and explain buoyancy and cavitation
11. Solve problems involving hydrostatic pressure and buoyancy
12. Define Reynolds transport theorem using the concepts control volume and system
13. Derive the control volume formulation of the continuity, momentum, and energy equations using Reynolds transport theorem and solving problems using those relations
14. Derive the continuity, momentum and energy equations on differential form
15. Derive and use the Bernoulli equation (using the relation includes having knowledge about its limitations)
16. Understand and explain the concept Newtonian fluid
17. Knowledge about how to use nondimensional numbers and the PI theorem
18. Explain losses appearing in pipe flows
19. Explain the difference between laminar and turbulent pipe flow
20. Solve pipe flow problems using Moody charts
21. Explain how the flat plate boundary layer is developed (transition from laminar to turbulent flow)
22. Explain and use the Blasius equation
23. Define the Reynolds number for a flat plate boundary layer
24. Explain what is characteristic for a turbulent flow
25. Explain Reynolds decomposition and derive the RANS equations
26. Understand and explain the Boussinesq assumption and turbulent viscosity
27. Explain the difference between the regions in a boundary layer and what is characteristic for each of the regions (viscous sub layer, buffer region, log region)
28. Use von Karmans integral relation
29. Explain flow separation (separated cylinder flow)
30. Explain how to delay or avoid separation
31. Derive the boundary layer formulation of the NavierStokes equations
32. Understand and explain displacement thickness and momentum thickness
33. Understand, explain and use the concepts drag, friction drag, pressure drag, and lift
34. Understand and explain how the shape and surface roughness of an object affects drag
35. Measure forces on an object in a flow
36. Define and explain vorticity
37. Understand and explain basic concepts of compressible flows (the gas law, speed of sound, Mach number, isentropic flow with changing area, normal shocks, oblique shocks, PrandtlMeyer expansion)
Content
Basic concepts
Control volume relations for mass, momentum, angular momentum and energy
Differential equations for mass, momentum and energy
Dimensional analysis and similarity
Pipe flow
Turbulence
Boundary layer flow
Compressible flow
Design task 2 is covered by a CFDtutorial where a 2D mesh is created and used to simulate the boundary layer (laminar and turbulent) on a flat plate. The software ICEM will be used for the meshing and Fluent to solve the equations describing the flow field. Measured boundary layer profiles in a wind tunnel using a flat plate are going to be provided. This data should be compared to the CFD simulations.
Organisation
21 lectures
19 exercises
The following parts are compulsory in the course
1 laboration
2 design tasks
Literature
Fluid Mechanics, Frank M. White, McGrawHill, New York
Examination including compulsory elements
Written examination
The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.