First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
INP4063068, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course Second cycle degree in
IN0532, Degree course structure A.Y. 2011/12, A.Y. 2017/18
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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

Mode of delivery (when and how)
Period Second semester
Year 2nd Year
Teaching method frontal

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

Start of activities 26/02/2018
End of activities 01/06/2018

Prerequisites: Physics fundamentals; differential equations; anatomy and phisiology of the cardiovascular apparatus
Target skills and knowledge: 1D fluid mechanics fundamental principles and skills to develop mathematical models of pathological cardiovscular flows and biomedical cardiovascular devices.
Examination methods: Final written examination. Multiple choice questions (with simple exercises too) and one open question.
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)
Additional notes about suggested reading: Lecture notes (posted in Course web page)
References given in classes
Textbooks (and optional supplementary readings)