Course Syllabus for

Advanced Hydraulics
Avancerad hydraulik

VVR050F, 7.5 credits

Valid from: Spring 2017
Decided by: Cintia Bertacchi Uvo
Date of establishment: 2017-05-15

General Information

Division: Water Resources Engineering
Course type: Third-cycle course
Teaching language: English


The objective of the course is to give a fundamental understanding of the phenomena and processes that govern water flow with the special purpose of providing the students with knowledge to analyze flow conditions both in technical systems and in nature. Emphasis is put on the ability to describe advanced flow problems in mathematical terms in order to compute primary variables such as pressure and velocity and how they vary in time and space. The course discusses both fundamental and applied aspects of water flow.


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

Basic concepts concerning flow kinematics and dynamics together with the control volume approach. Fundamental equations for conservation of mass, momentum, and energy. Euler's equations. Navier-Stokes equations. Solutions to the fundamental equations for special flow problems (e.g., flow between two plates, creeping flow). Laminar and turbulent boundary layers. Turbulence theory and models (e.g., mixing length models, k-epsilon models). Density effects and stratified flow. Application to specific flow situations in: • Meteorology and oceanography (e.g., geostrophic wind, athmospheric boundary layers, Ekman spirals) • Free-surface flows (e.g., non-uniform flow, dynamic and kinematic waves, flow in water courses and on the surface) • Circulation in lakes (e.g., wind-induced circulation, seiching) • Jets and plumes (e.g., evolution of and mixing in jets and plumes, interaction with the ambient, density effects) • Transport of substances in water including heat (e.g., mixing, transport processes, diffusion, advection)

Course Literature

Vardy, A.: Fluid principles.. McGraw-Hill, 1990. ISBN 0077072057.
Various papers and handouts on specific topics will be added.

Instruction Details

Type of instruction: Lectures. Lectures together with assignments.

Examination Details

Examination format: Written assignments. Accepted assignments required to pass the course.
Grading scale: Failed, pass

Admission Details

Admission requirements: Basic knowledge in fluid mechanics, for example the courser VVR145 and VVR120.
Assumed prior knowledge: Basic knowledge in mathematics and physics.
Selection criteria: No particular.

Course Occasion Information

Contact and Other Information

Course coordinators:
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