Course Syllabus for

Multiphase Flow - Theory, Modelling and Numerical Methods
Flerfasströmning - teori, modellering och numeriska metoder

MVKP20F, 7.5 credits

Valid from: Autumn 2021
Decided by: Anders Gustafsson / FUN
Date of establishment: 2021-02-23

General Information

Division: Energy Sciences
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MVKP20
Teaching language: English


The aim of this course is to provide an introduction to multiphase flows concerning basic theoretical knowledge and the design of multiphase models and their applicability. Also, to provide knowledge on the numerical methods used for simulating flows with more than one phase. Furthermore, the intention is to provide skills in the analysis of multiphase flows. This knowledge should be sufficient to understand the background of multiphase models and the ability to choose an appropriate model for a given flow case.


Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Judgement and Approach

For a passing grade the doctoral student must

Course Contents

The course contains the basic theory for multiphase flows, how such flows may be classified and how that in turn is reflected in the modelling. The theoretical part contains description of the various kinds of multiphase flows occurring in industrial applications, such as sprays, particle clouds, free surface flows etc. Forces on and interaction among particles, bubbles and droplets are discussed as well as the influence of surface tension and virtual mass. The modelling part contains the most common types of multiphase flow models, including models for dispersed flow (e.g. Lagrangian particle tracking, and discrete element modelling) as well as Eulerian continuum models and interface models. The physical background, applicability and effects of the different models are discussed. The mathematical description is also treated, averaging of the governing equations, and derivation of the extra equations needed. The numerical methods are discussed with emphasis on what is needed beyond the methods for single phase flows. Computer laboratory exercises and project work will be performed in commercial or open CFD software.

Course Literature

Instruction Details

Types of instruction: Lectures, exercises, project

Examination Details

Examination formats: Written exam, written assignments, seminars given by participants
Grading scale: Failed, pass

Admission Details

Admission requirements: FMA435 Calculus in Several Variables OR FMA430 Calculus in Several Variables OR FMAB35 Calculus in Several Variables OR FMAB30 Calculus in Several Variables. FMA420 Linear Algebra OR FMAB20 Linear Algebra. MMVF10 Fluid Mechanics OR VVRN35 Hydromechanics OR VVRF10 Fluid Mechanics OR KETF01 Transport Phenomena, Basic Course OR MMVF01 Thermodynamics and Fluid Mechanics OR MMVF15 Fluid Mechanics.

Course Occasion Information

Contact and Other Information

Course coordinator: Christer Fureby <>
Web page:

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