First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
Course unit
SCL1001871, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2015/16

Information on the course unit
Degree course First cycle degree in
SC1158, Degree course structure A.Y. 2014/15, A.Y. 2017/18
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination FLUIDODYNAMICS
Website of the academic structure
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction Italian
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

Teacher in charge GIAMPAOLO MISTURA FIS/03

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines FIS/03 Material Physics 6.0

Mode of delivery (when and how)
Period Second semester
Year 3rd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
Hours of
Individual study
Practice 2.0 16 34.0 No turn
Lecture 4.0 32 68.0 No turn

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

Examination board
Board From To Members of the board
8 Fluidodinamica 01/10/2017 30/11/2018 MISTURA GIAMPAOLO (Presidente)

Prerequisites: General Physics I and II, Calculus I and II, Geometry
Target skills and knowledge: The course provides a basic knowledge of the dynamics of newtonian fluids provided with inertia and viscosity. By means of numerous analogies and comparisons with the equations of the electromagnetic field and of the elasticity, it also allows to better understand common properties of continuous media.
Examination methods: Oral exam.
Assessment criteria: The evaluation of the student preparation is based on the understanding of the topics discussed in class, on the learning of the proposed concepts and methodologies and on the ability to apply them.
Course unit contents: General properties of fluids. Validity continuum assumption for a fluid. Physical properties of fluids: compressibility, density, viscosity. Newtonian fluids.
Description of the velocity field. Material derivative. Continuity equation. Stream function of a 2D flow.
Stress tensor for a static fluid and for a moving fluid. Cauchy's equation for a fluid. Navier-Stokes equation for an incompressible and newtonian fluid. No-slip boundary condition. Dynamical similarity and Reynolds number.
Analytical solutions of Navier-Stokes equation: flow of liquid film down an incline; Couette flow; Taylor-Couette flow and analysis of its stability;Poiseuille flow in a pipe of arbitrary cross-section; stability Poiseuille flow; lubrication theory.
Motion objects in a luid at low Reynolds numbers: motion of a spher, Stokes' equation; motion of a sphere, Oseen's equation; motion of a cylinder; motion of a cylinder for Reynolds numbers between 1 and 100.
Vorticity equation. Bernoulli theorem. Boundary layer equation. Boundary layer on a planar surface. Method of von Karman. Boundary layer separation.
Viscous forces on a moving body. Drag force, pressure drag and skin friction drag. Drag coefficient Cd. Variation of Cd of a sphere and of a cylinder with Reynolds number. Supercritical regime and its applications to ball games.
Introduction to turbolence. Characteristics of turbolent regime.
Equation of an ideal flow. Kelvin's circulation theorem. Euler momentum integral. Laplace equation for the potential velocity. Superposition principle. Uniqueness of solutions Laplace equation. Motion of a cylinder in a non-viscid fluid.
Airfoil lift. Zhukhovsky assumption.
Interfacial phenomena between two fluids. Surface tension. Laplace equation. Capillary adhesion. Contact angle. Production of micro-drops.
Planned learning activities and teaching methods: Frontal lessons. Demonstrations in laboratory and in video.
Textbooks (and optional supplementary readings)
  • P.K. Kundu, I.M. Cohen e D.R. Dowling, Fluid Mechanics. Oxford: Academic Press, 2012. Cerca nel catalogo