TEP4112 - Turbulent Flows


Examination arrangement

Examination arrangement: Aggregate score
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 70/100 4 hours D
Portfolio 30/100

Course content

Phenomenological and theoretical introduction to turbulence and the scales found within it. Reynolds' decomposition and Reynolds' averaging. Homogeneous turbulence. Turbulent shear flows: boundary layers, jets and wakes. Introduction to turbulence modelling: algebraic and transport models. Practice examples with turbulent flow data.

Learning outcome


After completion of this course, the student will have knowledge on:

  • Basic laws in fluid mechanics.
  • Cartesian tensor notation.
  • Dimensionless equations, Reynolds and Strouhal number, scales for length and time.
  • Vorticity and elements of vortex dynamics.
  • Characteristics of turbulence including the scales within it.
  • Reynolds’ decomposition, Reynolds-averaged Navier-Stokes equations (RANS).
  • Balance equations for the mean flow and the turbulent kinetic energy.
  • Turbulence near solid surfaces. The mean velocity profile. Boundary layer equations.
  • Free turbulent shear flows. Simplified momentum equations. Self-preservation.
  • Turbulence modelling. Eddy viscosity, mixing-length, Reynolds stress models.
  • Statistical description of turbulence: moments, correlations, spectra.
  • The concepts of direct numerical simulation (DNS) and large-eddy simulation (LES).


After completion of this course, the student will have skills on:

  • Evaluation of turbulent flow situations.
  • Use of self-preservation solutions for free shear flows (jets, wakes, etc).
  • Choose a turbulence model for computational flow analysis (CFD).
  • Evaluate and interpret experimental measurements.

General competence:

After completion of this course, the student will have general competence on:

  • The theory of turbulence and the turbulent flow of liquids and gases (fluids).
  • An understanding of turbulent flow cases.

Learning methods and activities

Lectures, written exercises, a CFD project and a laboratory exercise. The lectures and course activities are in English. The exam will be given in English only. Students are free to choose Norwegian or English for written assessments.

Further on evaluation

The portfolio evaluation will consist of a lab report, a CFD project report, and problem exercises. For a re-take of an examination, the portfolio may be omitted if previously completed.

If there is a re-sit examination, the examination form may be changed from written to oral.

Required previous knowledge

TEP4135 Fluid Mechanics 2

Course materials

Lecture notes. S.B. Pope’s "Turbulent Flows" (Cambridge University Press) is recommended as a resource but is not required for the course.

More on the course



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


Term no.: 1
Teaching semester:  SPRING 2025

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Fluids Engineering
  • Energy and Process Engineering
  • Fluid Mechanics
  • Marine Hydrodynamics
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Energy and Process Engineering


Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD School exam 70/100 D INSPERA
Room Building Number of candidates
Spring ORD Portfolio 30/100
Room Building Number of candidates
Summer UTS School exam 70/100 D INSPERA
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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