# TEP4112 - Turbulent Flows

### Examination arrangement

Examination arrangement: Aggregate score

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

Knowledge:

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).

Skills:

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

No

Facts

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

Coursework

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 of Energy and Process Engineering

# Examination

#### Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Spring ORD School exam 70/100
Spring ORD Portfolio 30/100
Summer UTS School exam 70/100
• * 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.
Examination

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