Introductory course on fluid mechanics.
AIMS AND LEARNING OUTCOMES
The course objective is to provide the students the basic knowledge on the motion of fluids and tools for the design and verification of simple hydraulic plants. Morover more complex fluid problems will be adressed by using simplified models.
The Continuum assumption. Physical properties. Forces acting on a fluid. Pressure and stress in fluids. State equation.
Stress in a fluid at rest. Integral and differential equations for a fluid at rest. Pressure distribution in a constant density fluid and in an ideal gas subject to gravity. Pressure forces on plane surfaces. Pressure forces on curved surfaces. Pressure variation across interfaces. Surface tension.
Kinematics of fluids
Eulerian and Lagrangian description of the flow. Material derivative. Velocity and acceleration. Transport Theorem.
Stress in a moving fluid. Mass conservation principle and its integral formulation. Momentum principle and its integral formulation. Integral formulation of the angular momentum law. Applications of the integral formulation of fluid flow (Force of a jet on a surface, Borda losses, forces of a Pelton blade). Ideal fluids and Bernoulli theorem with applications ( efflux through a hole in the side of a tank, stagnation pressure, Pitot tube)
Quasi-unidirectional incompressible flow
Characteristic quantities (averaged velocity, discharge, The Piezometric Head, Kinetic Head, Total Head). Continuity equation. Momentum equation. Steady uncompressible flow in circular ducts. Bernoulli Theorem. Flow measurements devices (Venturi meter, thin plate orifice, flow nozzle). Fundamentals on hydraulics networks.
Dimensional Analysis, model testing and similitude
Dimensional analysis and Pi theorem. Applications (drag and lift on a body moving in a fluid).Model testing and similitude
Fundamentals on boundary layer
Teacher's lectures notes(in italian)
Marchi – Rubatta: Meccanica dei fluidi: principi ed applicazioni idrauliche, UTET 1981
Ghetti: Idraulica Libreria Cortina. Padova 1980
Ricevimento: by appointment, to be fixed by sending an email to the teacher.
GIOVANNA VITTORI (President)
MARCO LEPIDI (President)
written exam and oral interview
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