Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


  • Ability to describe physical background of typical flow phenomena in laminar and turbulent flow fields
  • Ability to explain the physical meaning of the fundamental flow equations and of the terms in the equations, how the equations are formed and to apply the equations to describe simple flow cases
  • Ability to describe the fundamental characteristics of boundary layer flow, to form the equations for boundary layer flow and to apply the equations to study the behaviour of boundary layer flows
  • Ability to explain, what turbulence is, what are the fundamental concepts related to it and how turbulence is typically modelled
  • Ability to describe the formulation of discretised flow equations using finite difference method, common characteristics of selected discretisation schemes, sources of uncertainty in numerical predictions and concept of verification and validation and to estimate the truncation error of selected schemes

Credits: 5

Schedule: 07.09.2020 - 22.10.2020

Teacher in charge (valid 01.08.2020-31.07.2022): Tommi Mikkola

Teacher in charge (applies in this implementation): Tommi Mikkola

Contact information for the course (valid 11.08.2020-21.12.2112):

Teacher-in-charge: University lecturer Tommi Mikkola (

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English


  • Valid 01.08.2020-31.07.2022:

    The aim of the course is to deepen your understanding of the physical background of fluid flow phenomena (particularly the influence of viscosity) and the mathematical description and solution of different fluid flow problems. It is assumed that you already have a basic understanding of fluid flow (e.g. conservation principles, kinematics, material derivative, pressure, shear stress, Bernoulli equation). We will shortly revise the derivation of the fundamental flow equations to give you an idea of the fundamental physical processes in fluid flow. We will discuss the possibilities for the solution of Navier-Stokes equations in their full form and the simplifications and solution of the equations in specific cases with particular emphasis on boundary layer and boundary layer like flows. You will learn what turbulence is, how it affects the mean flow and how it is typically handled in the mathematical model. You will also get an introduction to the numerical solution of the flow equations.

  • Applies in this implementation:

    See Course info page

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    Compulsory assignments and exam

  • Applies in this implementation:

    See Course info page

  • Valid 01.08.2020-31.07.2022:

    Contact hours 56

    Independent work 80

    In total 136 hours (5cr. = 135 hours)

  • Applies in this implementation:

    Three two hour theory session each week plus two times two hour tutoring
    sessions each week. Five rounds of exercises and one final exam.


Study Material
  • Valid 01.08.2020-31.07.2022:

    Kundu and Cohen, Fluid Mechanics (4th edition)

  • Applies in this implementation:

    See Materials page

Substitutes for Courses
  • Valid 01.08.2020-31.07.2022:

    Ene-39.4031 Viscous Flow

  • Valid 01.08.2020-31.07.2022:

    KJR-C2003 Basic course on fluid mechanics or equivalent knowledge


Details on the schedule
  • Applies in this implementation:

    See Course info page


Registration and further information