TEP4156 - Viscous Flows and Boundary Layers


Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Skriftlig eksamen 100/100 4 timer

Course content

Derivation and discussion of the basic equations for viscous fluid flow, including heat conduction and compressibility. Molecular background for viscosity. Exact solutions like; Couette flow, Stokes 1. - and 2. problem, Hiemenz stagnation point flow. The boundary layer approximation, Blasius and Falkner-Skan solutions, effects of pressure gradient; Pohlhausen - and Thwaites methods, criteria for separation. Non-steady boundary layers. Stability of laminar flow, Orr-Sommerfeld equation and transition to turbulence.
Examples from internal flows, and from flows around bodies.

Learning outcome

The course provides the student with knowledge about:
- Formulating and solving problems in fluid mechanics where viscosity and heat conductivity are of importance, in particular at high Reynolds numbers where the boundary layer approximation applies.
- Primary focus is on the laminar flow regime and stability and transition to turbulence.
- Quantitative methods for classical cases, such as Stokes problems, stagnation point flow, Blasius and Falkner-Skan problems, and integral methods for other boundary layers with pressure gradient and possible separation. Qualitative and quantitative aspects of the stability theory for parallel flows in simple geometries.
- Applications for internal flows in pipes and channels and for simple process components, as well as for external flow around wing profiles.
- The course gives the student insight about:
- Application of basic theory for viscous and thermal boundary layers to estimate spatial distribution of flow properties, as well as to determine friction forces and heat transfer between fluid and solid boundaries in a mechanical engineering context.

The course should enable the student to:
- Compute critical parameters like friction factor and heat flux at wall, in addition to local details in the flow field, for systems of simple geometries.
- To some extent design process components for specific purposes from performance requirements, such as pressure recovery and thermal development in the flow field.

General competence:
The course should give the student insight on:
- Systematic applications of the general theoretical background for thermo-viscous flows in a technological context, in particular for high Reynolds numbers.
- Coupling to potential theory in elementary fluid mechanics, and construction of composite solutions for complete flow domains.
- Use of standard mathematical tools for analyzing and solving real-flow problems, in particular in the area of mechanical engineering.

Learning methods and activities

Lectures and written exercises. The lectures and exercises are in English when students who do not speak Norwegian take the course. At postponed exam (re-sit examination), a written exam may be changed to an oral exam.

Compulsory assignments

  • Exercises

Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Course materials

F.M.White: Viscous Fluid Flow, McGraw Hill, 3rd/4th ed.
T.Ytrehus: Introduksjonsnotat til Viskøse strømninger.

Credit reductions

Course code Reduction From To
TEP4155 5.0 01.09.2008
More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  AUTUMN 2013

No.of lecture hours: 4
Lab hours: 1
No.of specialization hours: 7

Language of instruction: English, Norwegian


Subject area(s)
  • Energy and Process Engineering
  • Physics
  • Marine Hydrodynamics
  • Mathematics
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Energy and Process Engineering



Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Autumn ORD Skriftlig eksamen 100/100 2013-12-21 09:00
Room Building Number of candidates
Summer KONT Skriftlig eksamen 100/100 2014-08-14 09:00
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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