Programme

Physical properties of fluids
• Density and Compressibility
• Vapor pressure
• Viscosity
• Surface tension
Statics of Fluids
• Stress in one point and dependence on position
• Fundamental equation of fluid statics
• Equilibrium of a finite mass of fluid at rest
• Hydrostatic thrust on a flat surface
• Hydrostatic thrust on a curved surface
Fluid kinematics
• The material derivative
• Reynolds' theorem
• The velocity field around a point
Fluid dynamics
• Mass conservation equation
• Constitutive relationships
• Equation of conservation of momentum
• Conservation of total energy in a non-ideal fluid
• Angular-Momentum conservation equation
Applications of Bernoulli theorem and of the momentum conservation equation in integral form
• Applications of Bernoulli theorem
• Applications of the momentum conservation equation in integral form
Dimensionless form of the equations of motion
Ideal fluids
• Equations of motion
• Irrotational motion
• Flow around 2D and 3D bodies
Viscous fluids
Motions at low Reynolds numbers
• Motion between flat parallel plates
• Hydrodynamic lubrication
• Motion between concentric cylinders
Motions at moderate Reynolds numbers
• Boundary layer: Prandtl theory
• Separation of boundary layer
• Oseen equation
• Flow around a cylinder and a sphere as the Reynolds number increases
Compressible fluids
• Water Hammer and Surge Pressures

Core Documentation

Cengel, Cimbala, fluid mechanics

Landau, Lifshitz, fluid mechanics

Reference Bibliography

Cengel, Cimbala, fluid mechanics Landau, Lifshitz, fluid mechanics

Attendance

non-compulsory

Type of evaluation

Exam modality The assessment is carried out through an oral examination. The interview aims to evaluate the student’s understanding of the fundamental principles of fluid mechanics and their ability to discuss their application to relevant physical phenomena. Questions may address both theoretical aspects and applied problems, including topics covered during lectures. Grading criteria The final grade is determined based on several factors, including: the level of knowledge and understanding of the topics; clarity of explanation; the ability to critically analyze physical phenomena; the coherence and logic of reasoning; and the correct use of technical terminology specific to the subject.

Programme

Physical properties of fluids
• Density and Compressibility
• Vapor pressure
• Viscosity
• Surface tension
Statics of Fluids
• Stress in one point and dependence on position
• Fundamental equation of fluid statics
• Equilibrium of a finite mass of fluid at rest
• Hydrostatic thrust on a flat surface
• Hydrostatic thrust on a curved surface
Fluid kinematics
• The material derivative
• Reynolds' theorem
• The velocity field around a point
Fluid dynamics
• Mass conservation equation
• Constitutive relationships
• Equation of conservation of momentum
• Conservation of total energy in a non-ideal fluid
• Angular-Momentum conservation equation
Applications of Bernoulli theorem and of the momentum conservation equation in integral form
• Applications of Bernoulli theorem
• Applications of the momentum conservation equation in integral form
Dimensionless form of the equations of motion
Ideal fluids
• Equations of motion
• Irrotational motion
• Flow around 2D and 3D bodies
Viscous fluids
Motions at low Reynolds numbers
• Motion between flat parallel plates
• Hydrodynamic lubrication
• Motion between concentric cylinders
Motions at moderate Reynolds numbers
• Boundary layer: Prandtl theory
• Separation of boundary layer
• Oseen equation
• Flow around a cylinder and a sphere as the Reynolds number increases
Compressible fluids
• Water Hammer and Surge Pressures

Core Documentation

Download handouts from Teams

Type of delivery of the course

Oral Exam

Attendance

Not required but recommended

Type of evaluation

Oral exam with evaluation of the student's ability to quantitatively understand the phenomena related hydrodynamics The final grade will take into account the student's critical analytical skills, the ability to model and conceptually frame a problem, as well as their knowledge background