
Course unit
FLUIDODYNAMICS
SCL1001871, A.A. 2017/18
Information concerning the students who enrolled in A.Y. 2015/16
ECTS: details
Type 
ScientificDisciplinary 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 teaching 
Hours of Individual study 
Shifts 
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)
PIERNO
MATTEO AMBROGIO PAOLO
(Membro Effettivo)
CARNERA
ALBERTO
(Supplente)

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. NavierStokes equation for an incompressible and newtonian fluid. Noslip boundary condition. Dynamical similarity and Reynolds number.
Analytical solutions of NavierStokes equation: flow of liquid film down an incline; Couette flow; TaylorCouette flow and analysis of its stability;Poiseuille flow in a pipe of arbitrary crosssection; 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 nonviscid fluid.
Airfoil lift. Zhukhovsky assumption.
Interfacial phenomena between two fluids. Surface tension. Laplace equation. Capillary adhesion. Contact angle. Production of microdrops. 
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.


