TVM4116 - Fluid Mechanics


Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

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

Course content

The course deals with both liquids that are at rest and that are in motion. It includes the physical properties of liquids, hydrostatics and dynamic equations of motion as well as the principles of conservation of mass and conservation of energy and the impulse rate. Special emphasis is placed on basic areas of application such as pipe flow, channel flow, linear wave theory as well as drag and lifting forces on bodies and structures.

Basic fluid mechanics: hydrostatics, water continuity, momentum equation, Bernoulli's equation, Energy equation, Navier-Stokes equation, pipe and channel flow, singular and friction losses, Manning+Chezy's equations, Darcy-Weissbachs equation, Moody's diagram, drag and lift, linear wave theory etc.

Learning outcome


The student shall have the knowledge about

  • how basic equations for fluid flow can be derived
  • which equations can be used to solve practical problems in different flow situations
  • typical hydraulic situations for constructions of hydropower plants, river protection structures, water supply plants, ports and fixed marine structures.
  • how laboratory and numerical models can describe complex flow fields.


The student should be able to

  • Calculate energy loss in piping systems, power of hydropower plants and required capacity of pumps.
  • Calculate water level jumps and capacity of overflows.
  • Calculate hydrostatic forces on dived bodies and hatches.
  • Calculate the motion of non-refracting surface waves on water, according to linear wave theory, and the load such waves give on circular-cylindrical structures.
  • Calculate the hydrostatic stability of floating barges and the like for different loads.

General competance

  • The student will manage to see the connection between basic equations and solution of practical flow problems
  • know which problems can be computed with simplified approaches and which cases that need more knowledge

Learning methods and activities

Lectures, compulsory homework and labwork. Voluntary web based excercises. In total there are 12 exercises in the course, whereas 8 of 12 must be approved within the deadline to be accepted for the exam. Mandatory lab exercise. Help from student assistants available for calculations.

Compulsory assignments

  • Exercises

Further on evaluation

The exam is 4 hours digital school exam.

Required previous knowledge

The course is taught in Norwegian language only, so the students have to know this language.

Course materials

Class notes in Norwegian, written by Geir Moe. Class notes in Norwegian, written by Nils Reidar Olsen. The book "Engineering Fluid Mechanics", 9/10. ed, 2010/2014 by Elger, Williams, Crowe, Roberson.

More on the course

Version: 1
Credits:  7.5 SP
Study level: Intermediate course, level II


Term no.: 1
Teaching semester:  SPRING 2025

Language of instruction: Norwegian

Location: Trondheim

Subject area(s)
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Civil and Environmental Engineering


Examination arrangement: School exam

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