First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
INP4063068, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
IN0532, Degree course structure A.Y. 2011/12, A.Y. 2018/19
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination BIOENGINEERING FLUID DYNAMICS
Department of reference Department of Information Engineering
E-Learning website
Mandatory attendance No
Language of instruction English
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit


ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines ICAR/01 Hydraulics 9.0

Course unit organization
Period Second semester
Year 2nd Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 9.0 72 153.0 No turn

Start of activities 25/02/2019
End of activities 14/06/2019

Examination board
Board From To Members of the board
4 A.A. 2018/2019 01/10/2018 15/03/2020 SUSIN FRANCESCA MARIA (Presidente)
PERUZZO PAOLO (Membro Effettivo)
DI MICCO LUIGI (Supplente)
3 A.A. 2017/2018 01/10/2017 15/03/2019 SUSIN FRANCESCA MARIA (Presidente)
PERUZZO PAOLO (Membro Effettivo)

Prerequisites: Physics fundamentals; differential equations; anatomy and phisiology of the cardiovascular apparatus.
Target skills and knowledge: 1D fluid mechanics fundamental principles; skills to develop biomechanical models (theoretica, in-vitro, in-silico) of pathological cardiovscular flows and to design/assess biomedical cardiovascular devices.
Examination methods: Final written examination. Multiple choice questions (with simple exercises too), one open question, applied exercise.
Group report on laboratory data.
Assessment criteria: Will be considered:
answers completeness
terms, definitions, and solution approach precision
key-points knowledge of specific problems
critical and personal use of skills aquired during the course.
Course unit contents: Introduction to Course aims and contents. Definition of fluid and main fundamental physical quantities. Absolute and relative pressure. Rheology: Newtonian and non-Newtonian fluids, blood rheology. Hydrostatics: fundamental law for incompressible fluid, pressure force on plane and curved surfaces. Application to prosthetic heart valves. Kinematics: velocity and acceleration, unsteady, steady and uniform flow, flow rate, mass conservation principle, average velocity. Dynamics: Reynolds and Womersley numbers; laminar and turbulent regimes; Poiseuille flow in a pipe; flow resistance in laminar flows: series and parallel pipes; application to human systemic circulation; Womersley flow in rigid pipes: analytical solution, analysis of pulsatile effects, application to human circulation; one-dimensional flows and total head definition; total head conservation equation; flow energy continuous and local dissipations; momentum conservation equation; pump head and power in hydraulic circuits. Heart valve stenosis: definition and etiology; fluid dynamic model of the flow through a nozzle, vena contracta and contraction coefficient; transvalvular pressure drop in stenotic valves: maximum drop and recovery effect; net pressure drop: quasi-steady model; intertial effects on transvalvular flow: partial and complete net pressure drop models. Hemodynamics of prosthetic heart valves, in vitro tests of valve systolic and diastolic performance, European standards; fundamentals of local flow dynamics in proximity of a prosthesis. Heart valve insufficiency: definition and etiology; Laplace law; fluid dynamic indexes of insufficiency severity; potential flows, absorbing point flow; PISA method for insufficiency graduation. Vascular stenosis: definition, fluid dynamic model, evaluation of transtenotic pressure drop. In vitro pulsatile mock loop at HER Laboratory: description and use in laboratory sessions.
Planned learning activities and teaching methods: Class lesson; laboratory sessions; visit to a biomedical-cardiovascular company (wether possible); class discussion of laboratory data processing report.
Additional notes about suggested reading: Lecture notes and slides (posted in Course web page).
Student notes.
References given in classes.
Textbooks (and optional supplementary readings)

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Laboratory
  • Problem based learning
  • Case study
  • Interactive lecturing
  • Working in group
  • Questioning
  • Use of online videos

Innovative teaching methods: Software or applications used
  • Matlab

Sustainable Development Goals (SDGs)
Good Health and Well-Being Quality Education Gender Equality Reduced Inequalities